From 8e17ffb02f34e09e5f6f78ddf9128fe6c8728dfe Mon Sep 17 00:00:00 2001 From: arshiiyyaa Date: Thu, 13 Aug 2026 11:53:06 -0400 Subject: [PATCH 1/8] add two-fluid model (TFM) for dispersed flow simulation --- .../config_functions/boundary_conditions.py | 27 +- opencmp/helpers/dg.py | 22 + opencmp/helpers/ngsolve_.py | 15 + opencmp/helpers/wall_func.py | 64 +- opencmp/models/__init__.py | 4 +- opencmp/models/tfm.py | 884 ++++++++++++++++++ pytests/helpers/test_ngsolve_.py | 73 ++ 7 files changed, 1065 insertions(+), 24 deletions(-) create mode 100644 opencmp/models/tfm.py create mode 100644 pytests/helpers/test_ngsolve_.py diff --git a/opencmp/config_functions/boundary_conditions.py b/opencmp/config_functions/boundary_conditions.py index 9d55ff4..079afab 100644 --- a/opencmp/config_functions/boundary_conditions.py +++ b/opencmp/config_functions/boundary_conditions.py @@ -33,10 +33,33 @@ def __init__(self, config_rel_path: str, import_dir: str, mesh: Mesh, bc_types: super().__init__(config_rel_path, import_dir, mesh, t_param) # Load the BC dict from the BC configfile. + # SLIP is marker-only (for example ``u_d = wall|bottom``), whereas the + # general three-level parser expects ``marker -> value`` entries. + marker_only_types = {'SLIP'} & set(bc_types) self.bc_dict, self.bc_re_parse_dict = self.config.get_three_level_dict(self.import_dir, None, self.t_param, new_variables, - white_list=bc_types, - ignore=['VERTICES', 'CENTROIDS']) + white_list=[bc_type for bc_type in bc_types + if bc_type not in marker_only_types], + ignore=['VERTICES', 'CENTROIDS'] + + list(marker_only_types)) + for bc_type in marker_only_types: + marker_dict = {} + section = self.config[bc_type] if self.config.has_section(bc_type) else {} + for var, marker_expression in section.items(): + markers = [marker.strip() for marker in marker_expression.split('|') if marker.strip()] + if not markers: + raise ValueError( + "Boundary condition '[{}] {}' must specify at least one mesh marker." + .format(bc_type, var) + ) + if len(markers) != len(set(markers)): + raise ValueError( + "Boundary condition '[{}] {}' contains duplicate mesh markers." + .format(bc_type, var) + ) + marker_dict[var] = {marker: [] for marker in markers} + self.bc_dict[bc_type.lower()] = marker_dict + self.bc_re_parse_dict[bc_type.lower()] = {var: {} for var in marker_dict} # Used to keep track of which unknown variables the user has already been warned about # A variable present in the config file that is not in the current model is not necessarily a bug. diff --git a/opencmp/helpers/dg.py b/opencmp/helpers/dg.py index 3ad41c6..8f7e9fa 100644 --- a/opencmp/helpers/dg.py +++ b/opencmp/helpers/dg.py @@ -102,6 +102,28 @@ def weighted_grad_avg(q: CoefficientFunction, c: CoefficientFunction) -> Coeffic return 0.5 * (c * Grad(q) + c.Other() * Grad(q).Other()) +def weighted_trans_grad_avg(q: CoefficientFunction, c: CoefficientFunction) -> CoefficientFunction: + """ + Returns the average of the transposed gradient of a field weighted by a (possibly discontinuous) coefficient. + + Note this is NOT weighted_grad_avg(q, c).trans in general: this weights on the right, + (Grad(q) * c)^T, and the two only coincide for scalar c. + + Args: + q: The field. + c: The coefficient weighting the gradient on each side of the facet. + + Returns: + The average of (Grad(q) * c)^T at every facet of the mesh. + """ + + # Grad must be called differently if q is a trial or testfunction instead of a coefficientfunction/gridfunction. + if isinstance(q, ProxyFunction): + return 0.5 * ((Grad(q) * c).trans + (Grad(q.Other()) * c.Other()).trans) + else: + return 0.5 * ((Grad(q) * c).trans + (Grad(q).Other() * c.Other()).trans) + + def weighted_div_avg(q: CoefficientFunction, c: CoefficientFunction) -> CoefficientFunction: """ Returns the average of the divergence of a field weighted by a (possibly discontinuous) coefficient. diff --git a/opencmp/helpers/ngsolve_.py b/opencmp/helpers/ngsolve_.py index 1838d14..de16f33 100644 --- a/opencmp/helpers/ngsolve_.py +++ b/opencmp/helpers/ngsolve_.py @@ -45,6 +45,21 @@ def construct_identity_mat(dim: int) -> CoefficientFunction: return ngs.CoefficientFunction(tuple(lst), dims=(dim, dim)) +def curl_3d(gfu: GridFunction) -> CoefficientFunction: + """ + Returns the curl of a 3D vector field computed from its gradient. + + Args: + gfu: The 3D vector field. + + Returns: + The curl of gfu. + """ + + g = ngs.grad(gfu) + return ngs.CoefficientFunction((g[5] - g[7], -(g[2] - g[6]), g[1] - g[3])) + + def get_special_functions(mesh: Mesh, nu: float) \ -> Tuple[CoefficientFunction, CoefficientFunction, CoefficientFunction, CoefficientFunction]: """ diff --git a/opencmp/helpers/wall_func.py b/opencmp/helpers/wall_func.py index afe2416..9d775b5 100644 --- a/opencmp/helpers/wall_func.py +++ b/opencmp/helpers/wall_func.py @@ -22,6 +22,48 @@ import ngsolve as ngs +def wall_distance(mesh: ngs.comp.Mesh, wall_boundary: str = 'wall', + order: int = 2, relax: float = 0.1) -> ngs.GridFunction: + """ + Distance to ``wall_boundary`` from a regularized Eikonal solve. + + Free of any turbulence modelling, so models that need only a wall distance + (e.g. the two-fluid lift wall-deactivation taper) can use it without + constructing a :class:`KEpsilonWallFunction`. + + Args: + mesh: The mesh used for the simulation. + wall_boundary: Boundary marker(s) to measure the distance from. + order: Order of the H1 space the distance field lives in. + relax: Regularization, as a multiple of the local mesh size. + + Returns: + The wall-distance field. + """ + + eps = relax * ngs.specialcf.mesh_size + fes = ngs.H1(mesh, order=order, dirichlet=wall_boundary) + u, v = fes.TnT() + y = ngs.GridFunction(fes) + + a = ngs.BilinearForm(fes) + a += ngs.grad(u) * ngs.grad(v) * ngs.dx + f = ngs.LinearForm(fes) + f += 1.0 * v * ngs.dx + a.Assemble() + f.Assemble() + y.vec.data = a.mat.Inverse(fes.FreeDofs()) * f.vec + + gu = ngs.grad(u) + residual = ngs.BilinearForm(fes) + residual += ( + ngs.sqrt(gu * gu + 1e-12) * v - v + + eps * gu * ngs.grad(v) + ) * ngs.dx + ngs.solvers.Newton(residual, y, printing=False) + return y + + class KEpsilonWallFunction: """Wall-layer eddy viscosity and dissipation for high-Re k-epsilon. @@ -180,27 +222,7 @@ def _find_physical_wall_facets(self): def _compute_distance_field(self, order: int, relax: float) -> ngs.GridFunction: """Distance to ``wall_boundary`` from a regularized Eikonal solve.""" - eps = relax * self.h - fes = ngs.H1(self.mesh, order=order, dirichlet=self.wall_boundary) - u, v = fes.TnT() - y = ngs.GridFunction(fes) - - a = ngs.BilinearForm(fes) - a += ngs.grad(u) * ngs.grad(v) * ngs.dx - f = ngs.LinearForm(fes) - f += 1.0 * v * ngs.dx - a.Assemble() - f.Assemble() - y.vec.data = a.mat.Inverse(fes.FreeDofs()) * f.vec - - gu = ngs.grad(u) - residual = ngs.BilinearForm(fes) - residual += ( - ngs.sqrt(gu * gu + 1e-12) * v - v - + eps * gu * ngs.grad(v) - ) * ngs.dx - ngs.solvers.Newton(residual, y, printing=False) - return y + return wall_distance(self.mesh, self.wall_boundary, order, relax) # ------------------------------------------------------------------ # Per-iteration update diff --git a/opencmp/models/__init__.py b/opencmp/models/__init__.py index f3999b2..a67dba1 100644 --- a/opencmp/models/__init__.py +++ b/opencmp/models/__init__.py @@ -27,6 +27,7 @@ from .stokes_dim import StokesDIM from .multi_component_ins import MultiComponentINS from .k_epsilon import KEpsilonINS +from .tfm import TwoFluidModel models_dict = {"INS": INS, @@ -36,7 +37,8 @@ "Stokes": Stokes, "Stokes-DIM": StokesDIM, "MultiComponentINS": MultiComponentINS, - "KEpsilonINS": KEpsilonINS} + "KEpsilonINS": KEpsilonINS, + "TwoFluidModel": TwoFluidModel} # Helper functions from .misc import get_model_class diff --git a/opencmp/models/tfm.py b/opencmp/models/tfm.py new file mode 100644 index 0000000..c5c110a --- /dev/null +++ b/opencmp/models/tfm.py @@ -0,0 +1,884 @@ +######################################################################################################################## +# Copyright 2021 the authors (see AUTHORS file for full list). # +# # +# This file is part of OpenCMP. # +# # +# OpenCMP is free software: you can redistribute it and/or modify it under the terms of the GNU Lesser General Public # +# License as published by the Free Software Foundation, either version 2.1 of the License, or (at your option) any # +# later version. # +# # +# OpenCMP is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied # +# warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more # +# details. # +# # +# You should have received a copy of the GNU Lesser General Public License along with OpenCMP. If not, see # +# . # +######################################################################################################################## + +import logging +from typing import Dict, List, Optional, Union + +import ngsolve as ngs +from ngsolve import GridFunction, FESpace, BilinearForm, LinearForm, Preconditioner, Parameter +from ngsolve.comp import ProxyFunction + +from . import Model +from ..helpers.dg import avg, jump, grad_avg, weighted_grad_avg, weighted_div_avg +from ..helpers.math import tanh, Max, Min +from ..helpers.ngsolve_ import get_special_functions, curl_3d +from ..helpers.limiter import Limiter +from ..helpers.error import norm, mean +from ..helpers.wall_func import wall_distance + + +class TwoFluidModel(Model): + """ + Laminar Euler-Euler two-fluid model for two-phase pipe flows. + + Implements four coupled equations: u_c (HDiv/BDM), u_d (HDiv/BDM), + p (L2), alpha_c (L2). The nonlinear system is resolved by Picard + (fixed-point) iteration each time step. Turbulence closure is left to a + subclass (cf. INS / KEpsilonINS). + """ + + # ------------------------------------------------------------------ + # Abstract-method overrides — bookkeeping + # ------------------------------------------------------------------ + + @staticmethod + def allows_explicit_schemes() -> bool: + return False + + def _define_model_components(self) -> Dict[str, Optional[int]]: + return {'u_c': 0, 'u_d': 1, 'p': 2, 'alpha_c': 3} + + def _define_model_local_error_components(self) -> Dict[str, bool]: + return {'u_c': True, 'u_d': True, 'p': False, 'alpha_c': True} + + def _define_time_derivative_components(self) -> List[Dict[str, bool]]: + return [{'u_c': True, 'u_d': True, 'p': False, 'alpha_c': True}] + + def _define_num_weak_forms(self) -> int: + return 1 + + def _define_bc_types(self) -> List[str]: + return ['dirichlet', 'neumann', 'slip'] + + # ------------------------------------------------------------------ + # Phase 1 — lifecycle hooks + # ------------------------------------------------------------------ + + def _tfm_option(self, key: str, val_type, default): + """Read an optional model-specific setting from [TFM].""" + if not self.config.has_option('TFM', key): + return default + try: + return self.config.get_item(['TFM', key], val_type, quiet=True) + except (TypeError, ValueError) as exc: + raise ValueError("Invalid [TFM] value for '{}'.".format(key)) from exc + + def _other_option(self, key: str, val_type, default): + """Read an optional generic numerical setting from [OTHER].""" + if not self.config.has_option('OTHER', key): + return default + return self.config.get_item(['OTHER', key], val_type, quiet=True) + + def _pre_init(self) -> None: + allowed_keys = {'canonical_form', 'ime', 'drag_model', 'lift_model', + 'lift_wall_deactivation', 'lift_wall_boundaries'} + unknown_keys = set(self.config['TFM']) - allowed_keys if self.config.has_section('TFM') else set() + if unknown_keys: + raise ValueError('Unknown [TFM] option(s): {}.'.format(', '.join(sorted(unknown_keys)))) + + self.canonical_form = self._tfm_option('canonical_form', str, 'Brennen') + if self.canonical_form not in ('Brennen', 'Ishii'): + raise ValueError("[TFM] canonical_form must be 'Brennen' or 'Ishii'.") + + self.slope_limiter = self._other_option('slope_limiter', bool, True) + + ime_items = (self.config.get_list(['TFM', 'ime'], str, quiet=True) + if self.config.has_option('TFM', 'ime') else ['drag']) + ime = {item.strip().lower() for item in ime_items if item.strip()} + allowed_ime = {'drag', 'virtual_mass', 'dispersion', 'lift'} + unknown_ime = ime - allowed_ime + if unknown_ime: + raise ValueError('Unknown [TFM] IME mechanism(s): {}.'.format(', '.join(sorted(unknown_ime)))) + if 'dispersion' in ime and 'drag' not in ime: + raise ValueError("[TFM] IME 'dispersion' requires 'drag'.") + self.drag_switch = 'drag' in ime + self.VM_switch = 'virtual_mass' in ime + self.Disp_switch = 'dispersion' in ime + self.Lift_switch = 'lift' in ime + + self.drag_model = self._tfm_option('drag_model', str, 'Tomiyama') + self.lift_model = self._tfm_option('lift_model', str, 'Tomiyama') + if self.drag_model not in ('Tomiyama', 'SchillerNaumann'): + raise ValueError("[TFM] drag_model must be 'Tomiyama' or 'SchillerNaumann'.") + if self.lift_model not in ('Tomiyama', 'LegendreMagnaudet'): + raise ValueError("[TFM] lift_model must be 'Tomiyama' or 'LegendreMagnaudet'.") + + # Artificial diffusion on the alpha_c transport. + self.diffusion_switch = self._other_option('diffusion_switch', bool, False) + + # Lift wall-deactivation taper (off by default; costs one wall-distance solve). + self.lift_wall_deactivation = self._tfm_option('lift_wall_deactivation', bool, False) + self.lift_wall_boundaries = self._tfm_option('lift_wall_boundaries', str, '') + if self.lift_wall_deactivation and not self.Lift_switch: + raise ValueError('lift_wall_deactivation requires lift in [TFM] IME.') + + # Loaded from model_dir/model_config after ModelFunctions is initialized. + self.injection_switch = False + self.injection_region = '' + self.inj_mass_flowrate = 0.0 + self.inj_velocity = 0.0 + + def _velocity_space_boundaries(self, var: str) -> str: + """Combine full Dirichlet and normal-only slip constraints for H(div).""" + dirichlet = list(self.BC.get('dirichlet', {}).get(var, {})) + slip = list(self.BC.get('slip', {}).get(var, {})) + overlap = set(dirichlet) & set(slip) + if overlap: + raise ValueError( + "Boundary marker(s) {} cannot be both DIRICHLET and SLIP for '{}'." + .format(', '.join(sorted(overlap)), var) + ) + return '|'.join(dirichlet + slip) + + def _construct_fes(self) -> FESpace: + # The weak form assumes H(div)-conforming velocities (the mixture mass + # conservation and the UDS momentum fluxes are written on u.n) and a + # discontinuous pressure, so those two are constrained rather than free. + for name in ('u_c', 'u_d'): + if self.element[name] != 'HDiv': + raise ValueError("TwoFluidModel requires an HDiv element for '{}', got '{}'." + .format(name, self.element[name])) + if self.element['p'] != 'L2': + raise ValueError("TwoFluidModel requires an L2 element for 'p', got '{}'." + .format(self.element['p'])) + + scalar_ord = max(self.interp_ord - 1, 0) + # HDiv strongly constrains only the normal trace. DIRICHLET markers also + # receive the weak full-vector terms below; SLIP markers do not, leaving + # zero tangential traction as their natural boundary condition. + uc_dirichlet = self._velocity_space_boundaries('u_c') + ud_dirichlet = self._velocity_space_boundaries('u_d') + fes_uc = ngs.HDiv(self.mesh, order=self.interp_ord, + dirichlet=uc_dirichlet, dgjumps=self.DG) + fes_ud = ngs.HDiv(self.mesh, order=self.interp_ord, + dirichlet=ud_dirichlet, dgjumps=self.DG) + fes_p = ngs.L2(self.mesh, order=scalar_ord, dgjumps=self.DG) + # alpha_c is an ordinary scalar transport variable -- any element the user asks for. + # No `dirichlet` here: its BCs are imposed weakly through the UDS flux terms. + fes_ac = getattr(ngs, self.element['alpha_c'])(self.mesh, order=scalar_ord, dgjumps=self.DG) + return FESpace([fes_uc, fes_ud, fes_p, fes_ac], dgjumps=self.DG) + + def _set_model_parameters(self) -> None: + p = self.model_functions.model_parameters_dict + self.rho_c = p['rho_c']['all'] + self.rho_d = p['rho_d']['all'] + self.nu_c = p['nu_c']['all'] + self.nu_d = p['nu_d']['all'] + self.sigma_c = p['sigma_c']['all'] + self.dp = p['dp']['all'] + self.C_VM = p['c_vm']['all'] + self.Cdis = p['cdis']['all'] + self.D_art = p['d_artificial']['all'] + + model_config = self.model_functions.config + self.injection_switch = model_config.has_section('INJECTION') + if self.injection_switch: + allowed = {'region', 'mass_flow_rate', 'velocity'} + unknown = set(model_config['INJECTION']) - allowed + if unknown: + raise ValueError('Unknown model [INJECTION] option(s): {}.' + .format(', '.join(sorted(unknown)))) + for required in allowed: + if not model_config.has_option('INJECTION', required): + raise ValueError("model_dir/model_config [INJECTION] requires '{}'." + .format(required)) + self.injection_region = model_config.get_item(['INJECTION', 'region'], str) + self.inj_mass_flowrate = model_config.get_item(['INJECTION', 'mass_flow_rate'], float) + self.inj_velocity = model_config.get_item(['INJECTION', 'velocity'], float) + + if self.mesh.dim == 2: + self.gravity = ngs.CoefficientFunction((0.0, -9.81)) + else: + self.gravity = ngs.CoefficientFunction((0.0, -9.81, 0.0)) + + def _post_init(self) -> None: + self.nonlinear = True + self.linearize = 'Picard' + + nonlinear_tolerance = self.config.get_dict( + ['SOLVER', 'nonlinear_tolerance'], self.run_dir, None) + self.abs_nonlinear_tolerance = nonlinear_tolerance['absolute'] + self.rel_nonlinear_tolerance = nonlinear_tolerance['relative'] + self.nonlinear_max_iters = self.config.get_item( + ['SOLVER', 'nonlinear_max_iterations'], int) + if self.nonlinear_max_iters < 1: + raise ValueError('nonlinear_max_iterations must be >= 1.') + + try: + relax = self.config.get_list(['SOLVER', 'relaxation_factors'], float) + except Exception: + relax = [] + n_comp = len(self.model_components) + self.relax_factors = relax if len(relax) == n_comp else [1.0] * n_comp + + # Picard iterate (updated at the start of every Picard sub-iteration) + self.UIter = ngs.GridFunction(self.fes) + self.UIter.vec.data = self.IC.vec + + # Piecewise-constant closure GFs (live outside self.fes) + _cl_fes = ngs.L2(self.mesh, order=0) + self.Cd_gfu = ngs.GridFunction(_cl_fes) + self.Cl_gfu = ngs.GridFunction(_cl_fes) + + # Special DG functions (self.nu = ipc * interp_ord^2 is the penalty parameter). + self.n, self.h, self.penalty_interior, self.IM = get_special_functions(self.mesh, self.nu) + + # Slope limiter instance + self._lim = Limiter(self.mesh) + + # Wall distance for the lift taper. Solved once (Eikonal Newton solve), and + # only when the taper is actually on. + if self.lift_wall_deactivation: + if not self.lift_wall_boundaries: + raise ValueError( + 'lift_wall_deactivation requires lift_wall_boundaries to be specified.' + ) + self._wall_dist = wall_distance(self.mesh, self.lift_wall_boundaries) + else: + self._wall_dist = None + + # ------------------------------------------------------------------ + # Internal helpers — closure coefficients + # ------------------------------------------------------------------ + + def _neumann_regex(self, varname: str) -> str: + keys = list(self.BC.get('neumann', {}).get(varname, {}).keys()) + return '|'.join(keys) + + def time_derivative_terms(self, gfu_lst: List[List[GridFunction]], scheme: str, + step: int = 1): + """Add the virtual-mass cross derivatives to the standard time terms.""" + a, L = super().time_derivative_terms(gfu_lst, scheme, step) + if not self.VM_switch: + return a, L + + U, V = self.get_trial_and_test_functions() + comp = self.model_components + uc, ud = U[comp['u_c']], U[comp['u_d']] + vc, vd = V[comp['u_c']], V[comp['u_d']] + + Ac = self.UIter.components[comp['alpha_c']] + Ad = 1 - Ac + VM_d = self.rho_c[0] * self.C_VM[0] / self.rho_d[0] + VM_c = -Ad / Ac * self.C_VM[0] + + if scheme in ('explicit euler', 'implicit euler', 'crank nicolson', 'adaptive imex pred'): + current_coefficient = 1.0 + old = gfu_lst[1] + old_difference = old[comp['u_d']] - old[comp['u_c']] + elif scheme == 'CNLF': + current_coefficient = 1.0 + old = gfu_lst[2] + old_difference = old[comp['u_d']] - old[comp['u_c']] + elif scheme == 'SBDF': + current_coefficient = 11.0 / 6.0 + old_difference = ( + 3.0 * (gfu_lst[1][comp['u_d']] - gfu_lst[1][comp['u_c']]) + - 1.5 * (gfu_lst[2][comp['u_d']] - gfu_lst[2][comp['u_c']]) + + (1.0 / 3.0) * (gfu_lst[3][comp['u_d']] - gfu_lst[3][comp['u_c']]) + ) + elif scheme in ('RK 222', 'RK 232'): + current_coefficient = 1.0 + old = gfu_lst[step] + old_difference = old[comp['u_d']] - old[comp['u_c']] + else: + raise ValueError('Scheme "{}" is not implemented'.format(scheme)) + + current_difference = ud - uc + a[0] += current_coefficient * ( + VM_d * current_difference * vd + VM_c * current_difference * vc) + L[0] += VM_d * old_difference * vd + VM_c * old_difference * vc + return a, L + + def _get_drag_coeff(self, wd, wc, Ad, ts: int) -> ngs.CoefficientFunction: + rho_c = self.rho_c[ts]; rho_d = self.rho_d[ts] + nu_c = self.nu_c[ts]; dp = self.dp[ts] + sigma_c = self.sigma_c[ts] + g_mag = ngs.Norm(self.gravity) + Eo = g_mag * (rho_c - rho_d) * dp**2 / sigma_c + Re = ngs.Norm(wd - wc) * dp / nu_c + if self.drag_model == 'Tomiyama': + Cd = ngs.IfPos(Re, + Max(Min(24/Re*(1 + 0.15*Re**0.687), 72/Re), + 8/3*Eo/(Eo + 4)), + ngs.CoefficientFunction(0.0)) + else: + Cd = ngs.IfPos(Re - 1000, + ngs.CoefficientFunction(0.44), + 24/Re*(1 + 0.15*Re**0.687)) + return Cd + + def _get_lift_coeff(self, wd, wc, ts: int) -> ngs.CoefficientFunction: + rho_c = self.rho_c[ts]; rho_d = self.rho_d[ts] + nu_c = self.nu_c[ts]; dp = self.dp[ts] + sigma_c = self.sigma_c[ts] + g_mag = ngs.Norm(self.gravity) + Eo = g_mag * (rho_c - rho_d) * dp**2 / sigma_c + Re = ngs.Norm(wd - wc) * dp / nu_c + Sr = dp**2 / (Re * nu_c + 1e-30) * ngs.Norm(ngs.grad(wc)) + if self.lift_model == 'LegendreMagnaudet': + ClLow = (6*2.255)**2 * Sr**2 / (ngs.pi**4 * Re * (Sr + 0.2*Re)**3) + ClHigh = (0.5 * (Re + 16) / (Re + 29))**2 + Cl = (ClLow + ClHigh)**0.5 + else: # Tomiyama + fEo = 0.00105*Eo**3 - 0.0159*Eo**2 - 0.0204*Eo + 0.474 + Cl = (ngs.IfPos(Eo - 4, 0, 1) * Min(0.288*tanh(0.121*Re), fEo) + + ngs.IfPos(Eo - 4, 1, 0) * ngs.IfPos(10.7 - Eo, 1, 0) * fEo + + ngs.IfPos(Eo - 10.7, 1, 0) * (-0.288)) + + # Optional near-wall lift taper. + if self.lift_wall_deactivation: + dp_factor = 3 + xw = self._wall_dist + s = 2*xw/(dp_factor*dp) - 1 + activation = (ngs.IfPos(xw - dp_factor*dp, 1, 0) + + ngs.IfPos(dp_factor*dp - xw, 1, 0) + * ngs.IfPos(xw - 0.5*dp_factor*dp, 1, 0) + * (3*s**2 - 2*s**3)) + Cl = Cl * activation + return Cl + + # ------------------------------------------------------------------ + # Internal helpers — UDS numerical fluxes + # ------------------------------------------------------------------ + + def _NF_UDS_mass(self, u, w, facet: str = 'Interior', bl: bool = True): + """UDS numerical flux for scalar advection (alpha_c).""" + n = self.n + if facet == 'Interior': + return avg(u) * (w * n) + 0.5 * ngs.Norm(w * n) * jump(u) + if facet == 'Dirichlet': + sign = 1.0 if bl else -1.0 + return 0.5 * u * (w * n) + sign * 0.5 * u * ngs.Norm(w * n) + if facet == 'Neumann': + #return u * Max(w * n, ngs.CoefficientFunction(0.0)) + return u * w * n + + def _NF_UDS_mom(self, u, w, facet: str = 'Interior', bl: bool = True): + """UDS numerical flux for momentum (vector) advection.""" + n = self.n + if facet == 'Interior': + return (ngs.OuterProduct(avg(u), w) + + 0.5 * ngs.Norm(w * n) * ngs.OuterProduct(jump(u), n)) + if facet == 'Dirichlet': + sign = 1.0 if bl else -1.0 + return (0.5 * ngs.OuterProduct(u, w) + + sign * 0.5 * ngs.Norm(w * n) * ngs.OuterProduct(u, n)) + if facet == 'Neumann': + return ngs.OuterProduct(u, n) * Max(w * n, ngs.CoefficientFunction(0.0)) + + # ------------------------------------------------------------------ + # Phase 2 — bilinear form (spatial operator) + # ------------------------------------------------------------------ + + def construct_bilinear_time_ODE(self, + U: Union[List[ProxyFunction], List[GridFunction]], + V: List[ProxyFunction], + dt: Parameter = Parameter(1.0), + time_step: int = 0) -> List: + ts = time_step + n = self.n + IM = self.IM + pen = self.penalty_interior + comp = self.model_components + + # Trial / test functions + uc, ud = U[comp['u_c']], U[comp['u_d']] + p = U[comp['p']] + alpha_c = U[comp['alpha_c']] + vc, vd = V[comp['u_c']], V[comp['u_d']] + q, r = V[comp['p']], V[comp['alpha_c']] + + # Picard iterate fields + wc = self.UIter.components[comp['u_c']] + wd = self.UIter.components[comp['u_d']] + Ac = self.UIter.components[comp['alpha_c']] + Ad = 1 - Ac + + # Physical parameters + rho_c = self.rho_c[ts]; rho_d = self.rho_d[ts] + nu_c = self.nu_c[ts]; nu_d = self.nu_d[ts] + dp = self.dp[ts] + + # BC regex strings + ac_d_reg = self.dirichlet_names.get('alpha_c', '') + ac_n_reg = self._neumann_regex('alpha_c') + uc_d_reg = self.dirichlet_names.get('u_c', '') + uc_n_reg = self._neumann_regex('u_c') + ud_d_reg = self.dirichlet_names.get('u_d', '') + ud_n_reg = self._neumann_regex('u_d') + + a = ngs.CoefficientFunction(0.0) * ngs.dx + + # ============================================================ + # 1. Alpha_c (dispersed-phase mass conservation) — a terms only + # (a_dt = alpha_c*r*dx is handled by time_derivative_terms) + # ============================================================ + # div(u_d)*r is treated EXPLICITLY (lagged on the Picard wind w_d) and + # lives in the linear form as +dt*div(w_d)*r -- see construct_linear. + a += (dt * -alpha_c * (wd * ngs.grad(r))) * ngs.dx + a += (dt * jump(r) * self._NF_UDS_mass(alpha_c, wd)) * ngs.dx(skeleton=True) + if ac_d_reg: + a += (dt * r * self._NF_UDS_mass(alpha_c, wd, 'Dirichlet', True)) * self._ds(ac_d_reg) + if ac_n_reg: + a += (dt * r * alpha_c * Max(wd * n, ngs.CoefficientFunction(0.0))) * self._ds(ac_n_reg) + + # Artificial diffusion (SIPG) on alpha_c -- stabilises sharp fronts. + if self.diffusion_switch: + art = self.D_art[ts] + a += (dt * art * ngs.grad(alpha_c) * ngs.grad(r)) * ngs.dx + a += (-dt * art * (n * grad_avg(r)) * jump(alpha_c)) * ngs.dx(skeleton=True) + a += (dt * art * (pen * jump(alpha_c)) * jump(r)) * ngs.dx(skeleton=True) + a += (-dt * art * (n * grad_avg(alpha_c)) * jump(r)) * ngs.dx(skeleton=True) + if ac_d_reg: + a += (-dt * art * alpha_c * (ngs.grad(r) * n)) * self._ds(ac_d_reg) + a += (dt * art * (pen * alpha_c - ngs.grad(alpha_c) * n) * r) * self._ds(ac_d_reg) + if ac_n_reg: + a += (-dt * art * (n * ngs.grad(alpha_c)) * r) * self._ds(ac_n_reg) + + # ============================================================ + # 2. Pressure / mixture mass conservation — NOT dt-scaled + # ============================================================ + a += (Ac * ngs.div(uc) * q) * ngs.dx + a += (ngs.grad(Ac) * uc * q) * ngs.dx + a += (ngs.div(ud) * q) * ngs.dx + a += (-Ac * ngs.div(ud) * q) * ngs.dx + a += (-ngs.grad(Ac) * ud * q) * ngs.dx + + # ============================================================ + # 3 & 4. Phase momentum conservation (c and d) + # ============================================================ + for (u_tr, w_pi, v_ts, A_pi, rho, nu_lam, d_reg, n_reg, phase) in [ + (uc, wc, vc, Ac, rho_c, nu_c, uc_d_reg, uc_n_reg, 'c'), + (ud, wd, vd, Ad, rho_d, nu_d, ud_d_reg, ud_n_reg, 'd'), + ]: + tau = ngs.grad(u_tr) + ngs.grad(u_tr).trans - 2.0/3.0 * ngs.div(u_tr) * IM + + # Advection — bulk (Picard-linearised convection) + a += (dt * -ngs.div(w_pi) * u_tr * v_ts) * ngs.dx + a += (dt * -ngs.InnerProduct(ngs.grad(v_ts), ngs.OuterProduct(u_tr, w_pi))) * ngs.dx + + # Pressure (shared mixture pressure p) + a += (dt * -p / rho * ngs.div(v_ts)) * ngs.dx + + # Advection — interior facets + a += (dt * ngs.InnerProduct(ngs.OuterProduct(jump(v_ts), n), + self._NF_UDS_mom(u_tr, w_pi))) * ngs.dx(skeleton=True) + # Advection — Dirichlet boundary (bilinear) + if d_reg: + a += (dt * ngs.InnerProduct(ngs.OuterProduct(v_ts, n), + self._NF_UDS_mom(u_tr, w_pi, 'Dirichlet', True))) \ + * self._ds(d_reg) + # Advection — Neumann boundary (bilinear) + if n_reg: + a += (dt * ngs.InnerProduct(ngs.OuterProduct(v_ts, n), + self._NF_UDS_mom(u_tr, w_pi, 'Neumann', True))) \ + * self._ds(n_reg) + + # Viscous: Brennen (phase c only) or Ishii (both phases) + do_viscous = (self.canonical_form == 'Brennen' and phase == 'c') or \ + (self.canonical_form == 'Ishii') + if do_viscous: + nu = ngs.CoefficientFunction(nu_lam) + + # grad of the phase fraction. A_d = 1 - A_c is a CF expression and + # ngs.grad() only accepts a GridFunction/proxy, so use grad(A_d) = + # -grad(A_c) with the actual A_c iterate (also tracks Picard updates). + grad_A = ngs.grad(Ac) if phase == 'c' else -ngs.grad(Ac) + + if self.canonical_form == 'Brennen': + factor = nu / A_pi + factor_avg = avg(nu / A_pi) + a += (dt * -nu * ngs.InnerProduct( + tau, ngs.OuterProduct(v_ts, grad_A / (A_pi**2)))) * ngs.dx + else: # Ishii + factor = ngs.CoefficientFunction(nu) + factor_avg = avg(ngs.CoefficientFunction(nu)) + if phase == 'c': + a += (dt * -nu * ngs.InnerProduct( + tau, ngs.OuterProduct(v_ts, grad_A / A_pi))) * ngs.dx + else: + a += (dt * -nu * ngs.InnerProduct( + tau, ngs.OuterProduct(v_ts, + grad_A / (A_pi + 1e-5)))) * ngs.dx + + # Bulk viscous + a += (dt * factor * ngs.InnerProduct(ngs.grad(v_ts), tau)) * ngs.dx + + # Interior IP-DG (SIPG for viscous stress) + stress_avg = (weighted_grad_avg(u_tr, factor) + weighted_grad_avg(u_tr, factor).trans + - 2.0/3.0 * weighted_div_avg(u_tr, factor) * IM) + a += (dt * -ngs.InnerProduct(stress_avg, + ngs.OuterProduct(jump(v_ts), n))) * ngs.dx(skeleton=True) + a += (dt * factor_avg * pen + * ngs.InnerProduct(ngs.OuterProduct(jump(u_tr), n), + ngs.OuterProduct(jump(v_ts), n))) * ngs.dx(skeleton=True) + # The reference form uses lower-case grad(v), which is Grad(v)^T + # for a vector. Transpose the outer product to express that term + # with OpenCMP's Grad-based helper. + a += (dt * -ngs.InnerProduct(ngs.OuterProduct(n, jump(u_tr)), + weighted_grad_avg(v_ts, factor))) * ngs.dx(skeleton=True) + a += (dt * -ngs.InnerProduct(ngs.OuterProduct(jump(u_tr), n), + weighted_grad_avg(v_ts, factor))) * ngs.dx(skeleton=True) + + # Dirichlet boundary — viscous bilinear (Nitsche) + if d_reg: + a += (dt * -factor * ngs.InnerProduct(tau, ngs.OuterProduct(v_ts, n))) \ + * self._ds(d_reg) + a += (dt * factor * pen + * ngs.InnerProduct(ngs.OuterProduct(u_tr, n), + ngs.OuterProduct(v_ts, n))) * self._ds(d_reg) + a += (dt * -factor * ngs.InnerProduct( + ngs.OuterProduct(u_tr, n), ngs.grad(v_ts))) * self._ds(d_reg) + a += (dt * -factor * ngs.InnerProduct( + ngs.OuterProduct(u_tr, n), ngs.grad(v_ts).trans)) * self._ds(d_reg) + + # ============================================================ + # 5. Interphase closures — bilinear contributions + # ============================================================ + + # — Drag (dt-scaled) + if self.drag_switch: + Cd = self._get_drag_coeff(wd, wc, Ad, ts) + drag_factor_d = 0.75 * Cd * rho_c / (rho_d * dp) * ngs.Norm(wd - wc) + drag_factor_c = -0.75 * Cd * Ad / (Ac * dp) * ngs.Norm(wd - wc) + a += (dt * drag_factor_d * (ud - uc) * vd) * ngs.dx + a += (dt * drag_factor_c * (ud - uc) * vc) * ngs.dx + + # — Virtual mass: a_dt (NOT dt-scaled) + a (dt-scaled) + if self.VM_switch: + C_VM = self.C_VM[ts] + VM_d = rho_c * C_VM / rho_d # phase-d coefficient (positive) + VM_c = -Ad / Ac * C_VM # phase-c coefficient (negative) + + # Spatial VM terms (dt-scaled), phase d + a += (dt * VM_d * (-ngs.InnerProduct(ngs.grad(vd), ngs.OuterProduct(ud, wd)) + + ngs.InnerProduct(ngs.grad(vd), ngs.OuterProduct(uc, wc)) + + (-ngs.div(wd)*ud*vd + ngs.div(wc)*uc*vd))) * ngs.dx + a += (dt * VM_d * ngs.InnerProduct(ngs.OuterProduct(jump(vd), n), + self._NF_UDS_mom(ud, wd))) * ngs.dx(skeleton=True) + a += (dt * -VM_d * ngs.InnerProduct(ngs.OuterProduct(jump(vd), n), + self._NF_UDS_mom(uc, wc))) * ngs.dx(skeleton=True) + if ud_d_reg: + a += (dt * VM_d * ngs.InnerProduct(ngs.OuterProduct(vd, n), + self._NF_UDS_mom(ud, wd, 'Dirichlet', True))) \ + * self._ds(ud_d_reg) + if uc_d_reg: + a += (dt * -VM_d * ngs.InnerProduct(ngs.OuterProduct(vd, n), + self._NF_UDS_mom(uc, wc, 'Dirichlet', True))) \ + * self._ds(uc_d_reg) + if ud_n_reg: + a += (dt * VM_d * ngs.InnerProduct(ngs.OuterProduct(vd, n), + self._NF_UDS_mom(ud, wd, 'Neumann', True))) \ + * self._ds(ud_n_reg) + if uc_n_reg: + a += (dt * -VM_d * ngs.InnerProduct(ngs.OuterProduct(vd, n), + self._NF_UDS_mom(uc, wc, 'Neumann', True))) \ + * self._ds(uc_n_reg) + + # Spatial VM terms (dt-scaled), phase c + a += (dt * VM_c * (-ngs.InnerProduct(ngs.grad(vc), ngs.OuterProduct(ud, wd)) + + ngs.InnerProduct(ngs.grad(vc), ngs.OuterProduct(uc, wc)) + + (-ngs.div(wd)*ud*vc + ngs.div(wc)*uc*vc))) * ngs.dx + a += (dt * VM_c * ngs.InnerProduct(ngs.OuterProduct(jump(vc), n), + self._NF_UDS_mom(ud, wd))) * ngs.dx(skeleton=True) + a += (dt * -VM_c * ngs.InnerProduct(ngs.OuterProduct(jump(vc), n), + self._NF_UDS_mom(uc, wc))) * ngs.dx(skeleton=True) + if ud_d_reg: + a += (dt * VM_c * ngs.InnerProduct(ngs.OuterProduct(vc, n), + self._NF_UDS_mom(ud, wd, 'Dirichlet', True))) \ + * self._ds(ud_d_reg) + if uc_d_reg: + a += (dt * -VM_c * ngs.InnerProduct(ngs.OuterProduct(vc, n), + self._NF_UDS_mom(uc, wc, 'Dirichlet', True))) \ + * self._ds(uc_d_reg) + if ud_n_reg: + a += (dt * VM_c * ngs.InnerProduct(ngs.OuterProduct(vc, n), + self._NF_UDS_mom(ud, wd, 'Neumann', True))) \ + * self._ds(ud_n_reg) + if uc_n_reg: + a += (dt * -VM_c * ngs.InnerProduct(ngs.OuterProduct(vc, n), + self._NF_UDS_mom(uc, wc, 'Neumann', True))) \ + * self._ds(uc_n_reg) + + # — Lift (dt-scaled) + if self.Lift_switch: + Cl = self._get_lift_coeff(wd, wc, ts) + if self.mesh.dim == 2: + curl_wc = ngs.grad(wc)[1] - ngs.grad(wc)[2] + lift_mom_d = Cl * rho_c/rho_d * curl_wc * ( + (ud[1] - uc[1]) * vd[0] - (ud[0] - uc[0]) * vd[1]) + lift_mom_c = Cl * (-Ad)/(Ac + 1e-30) * curl_wc * ( + (ud[1] - uc[1]) * vc[0] - (ud[0] - uc[0]) * vc[1]) + else: + lift_mom_d = Cl * rho_c/rho_d * (ngs.Cross(ud - uc, curl_3d(wc)) * vd) + lift_mom_c = Cl * (-Ad)/(Ac + 1e-30) * (ngs.Cross(ud - uc, curl_3d(wc)) * vc) + a += (dt * lift_mom_d) * ngs.dx + a += (dt * lift_mom_c) * ngs.dx + + return [a] + + def construct_bilinear_time_coefficient(self, + U: List[ProxyFunction], + V: List[ProxyFunction], + dt: Parameter, + time_step: int) -> List: + return [ngs.CoefficientFunction(0.0) * ngs.dx] + + # ------------------------------------------------------------------ + # Phase 2 — linear form (source and BC terms) + # ------------------------------------------------------------------ + + def construct_linear(self, + V: List[ProxyFunction], + gfu_0: Optional[List[GridFunction]], + dt: Parameter, + time_step: int) -> List: + ts = time_step + n = self.n + pen = self.penalty_interior + comp = self.model_components + + vc, vd = V[comp['u_c']], V[comp['u_d']] + q, r = V[comp['p']], V[comp['alpha_c']] + + # Picard iterate (for nonlinear coefficient terms) + wc = self.UIter.components[comp['u_c']] + wd = self.UIter.components[comp['u_d']] + Ac = self.UIter.components[comp['alpha_c']] + Ad = 1 - Ac + + # Physical parameters + rho_c = self.rho_c[ts]; rho_d = self.rho_d[ts] + nu_c = self.nu_c[ts]; nu_d = self.nu_d[ts] + dp = self.dp[ts] + + # BC regex + ac_d_reg = self.dirichlet_names.get('alpha_c', '') + ac_n_reg = self._neumann_regex('alpha_c') + uc_d_reg = self.dirichlet_names.get('u_c', '') + uc_n_reg = self._neumann_regex('u_c') + ud_d_reg = self.dirichlet_names.get('u_d', '') + ud_n_reg = self._neumann_regex('u_d') + + L = ngs.CoefficientFunction(0.0) * ngs.dx + + # ============================================================ + # 1. Alpha_c — linear contributions + # ============================================================ + # Explicit (lagged) dispersed-phase compressibility term: the bilinear + # form drops -div(u_d)*r; it is carried here on the Picard wind w_d. + L += (dt * ngs.div(wd) * r) * ngs.dx + for marker, val_list in self.BC.get('dirichlet', {}).get('alpha_c', {}).items(): + val = val_list[ts] + L += (dt * -r * self._NF_UDS_mass(val, wd, 'Dirichlet', False)) * self._ds(marker) + for marker, val_list in self.BC.get('neumann', {}).get('alpha_c', {}).items(): + val = val_list[ts] + L += (dt * -r * val) * self._ds(marker) + # Artificial diffusion — Dirichlet boundary (linear part). + if self.diffusion_switch: + art = self.D_art[ts] + for marker, val_list in self.BC.get('dirichlet', {}).get('alpha_c', {}).items(): + val = val_list[ts] + L += (dt * art * pen * val * r) * self._ds(marker) + L += (-dt * art * val * (ngs.grad(r) * n)) * self._ds(marker) + + # ============================================================ + # 2 & 3. Phase momentum — linear terms (gravity + BCs) + # ============================================================ + for (v_ts, w_pi, A_pi, rho, nu_lam, d_var, n_var, phase) in [ + (vc, wc, Ac, rho_c, nu_c, 'u_c', 'u_c', 'c'), + (vd, wd, Ad, rho_d, nu_d, 'u_d', 'u_d', 'd'), + ]: + # Body force + L += (dt * self.gravity * v_ts) * ngs.dx + + # Viscous parameters (needed for Nitsche BC terms) + do_viscous = (self.canonical_form == 'Brennen' and phase == 'c') or \ + (self.canonical_form == 'Ishii') + if do_viscous: + nu_eff = ngs.CoefficientFunction(nu_lam) + factor = nu_eff / A_pi if self.canonical_form == 'Brennen' else ngs.CoefficientFunction(nu_eff) + + # Convective Dirichlet BC (linear part: outflow from prescribed BC) + for marker, u_bc_list in self.BC.get('dirichlet', {}).get(d_var, {}).items(): + u_bc = u_bc_list[ts] + L += (dt * -ngs.InnerProduct(ngs.OuterProduct(v_ts, n), + self._NF_UDS_mom(u_bc, w_pi, 'Dirichlet', False))) \ + * self._ds(marker) + # Nitsche viscous Dirichlet (linear part) + if do_viscous: + L += (dt * factor * pen + * ngs.InnerProduct(ngs.OuterProduct(u_bc, n), + ngs.OuterProduct(v_ts, n))) * self._ds(marker) + L += (dt * -factor * ngs.InnerProduct( + ngs.OuterProduct(u_bc, n), ngs.grad(v_ts))) * self._ds(marker) + L += (dt * -factor * ngs.InnerProduct( + ngs.OuterProduct(u_bc, n), ngs.grad(v_ts).trans)) * self._ds(marker) + + # Neumann (stress) BC + for marker, val_list in self.BC.get('neumann', {}).get(n_var, {}).items(): + val = val_list[ts] + L += (dt * -val * v_ts) * self._ds(marker) + + # ============================================================ + # 4. Virtual mass — l_dt (NOT dt-scaled, uses UOld) + l (dt-scaled) + # ============================================================ + if self.VM_switch: + C_VM = self.C_VM[ts] + VM_d = rho_c * C_VM / rho_d + VM_c = -Ad / Ac * C_VM + + # l (dt-scaled): convective Dirichlet BC contributions + for marker, u_bc_list in self.BC.get('dirichlet', {}).get('u_d', {}).items(): + u_bc = u_bc_list[ts] + L += (dt * -VM_d * ngs.InnerProduct(ngs.OuterProduct(vd, n), + self._NF_UDS_mom(u_bc, wd, 'Dirichlet', False))) \ + * self._ds(marker) + L += (dt * -VM_c * ngs.InnerProduct(ngs.OuterProduct(vc, n), + self._NF_UDS_mom(u_bc, wd, 'Dirichlet', False))) \ + * self._ds(marker) + for marker, u_bc_list in self.BC.get('dirichlet', {}).get('u_c', {}).items(): + u_bc = u_bc_list[ts] + L += (dt * VM_d * ngs.InnerProduct(ngs.OuterProduct(vd, n), + self._NF_UDS_mom(u_bc, wc, 'Dirichlet', False))) \ + * self._ds(marker) + L += (dt * VM_c * ngs.InnerProduct(ngs.OuterProduct(vc, n), + self._NF_UDS_mom(u_bc, wc, 'Dirichlet', False))) \ + * self._ds(marker) + for marker, val_list in self.BC.get('neumann', {}).get('u_d', {}).items(): + val = val_list[ts] + L += (dt * -VM_d * val * vd) * self._ds(marker) + L += (dt * -VM_c * val * vc) * self._ds(marker) + for marker, val_list in self.BC.get('neumann', {}).get('u_c', {}).items(): + val = val_list[ts] + L += (dt * VM_d * val * vd) * self._ds(marker) + L += (dt * VM_c * val * vc) * self._ds(marker) + + # ============================================================ + # 5. Laminar dispersion (linear source term) + # ============================================================ + if self.Disp_switch and self.drag_switch: + Cd = self._get_drag_coeff(wd, wc, Ad, ts) + H = 1 - 1.166*(1 - Ac) + 0.5*(1 - Ac)**2 + Cdis = self.Cdis[ts] + disp_d = 0.75*Cd*Cdis*rho_c/rho_d * H * ngs.Norm(wd - wc)**2 + disp_c = -0.75*Cd*Cdis*Ad/(Ac + 1e-30) * H * ngs.Norm(wd - wc)**2 + L += (dt * disp_d * ngs.grad(Ac) * vd) * ngs.dx + L += (dt * disp_c * ngs.grad(Ac) * vc) * ngs.dx + + # ============================================================ + # 6. Interior injection source (on the 'injection' material region) + # ============================================================ + if self.injection_switch and self.inj_mass_flowrate: + mdot = self.inj_mass_flowrate + dx_inj = ngs.dx(definedon=self.mesh.Materials(self.injection_region)) + L += (dt * -mdot * r) * dx_inj # dispersed-phase mass + L += (dt * mdot * q) * dx_inj # mixture mass + if self.mesh.dim == 2: + inj_vec = ngs.CoefficientFunction((0, self.inj_velocity)) + else: + inj_vec = ngs.CoefficientFunction((0, self.inj_velocity, 0)) + L += (dt * mdot * inj_vec * vc) * dx_inj # continuous-phase momentum + + return [L] + + def construct_imex_explicit(self, + V: List[ProxyFunction], + gfu_0: Optional[List[GridFunction]], + dt: Parameter, + time_step: int) -> List: + return [ngs.CoefficientFunction(0.0) * ngs.dx] + + # ------------------------------------------------------------------ + # Phase 3 — nonlinear (Picard) solver + # ------------------------------------------------------------------ + + def solve_single_step(self, + a_lst: List[BilinearForm], + L_lst: List[LinearForm], + precond_lst: List[Preconditioner], + gfu: GridFunction, + time_step: int = 0) -> None: + # Cold-start guard: the adaptive solvers hand us fresh GridFunctions + # (gfu_long/gfu_short) on the first step with only the velocity Dirichlet + # BCs applied -- alpha_c is still zero. A zero alpha_c is a degenerate + # linearization wind for this model (drag /Ac -> /0), so seed it from the + # initial condition before it is used as UIter. (Keys on alpha_c since + # velocity BCs leave it untouched.) + comp = self.model_components + if gfu.components[comp['alpha_c']].vec.Norm() == 0.0: + gfu.vec.data = self.IC.vec + + gfu_prev = ngs.GridFunction(self.fes) + + for _it in range(self.nonlinear_max_iters): + gfu_prev.vec.data = gfu.vec + + # Update Picard wind so that Assemble() picks up the new values + self.UIter.vec.data = gfu.vec + + self.apply_dirichlet_bcs_to(gfu, time_step) + + a_lst[0].Assemble() + L_lst[0].Assemble() + if precond_lst[0] is not None: + precond_lst[0].Update() + + self.linear_solve(a_lst[0], L_lst[0], precond_lst[0], gfu) + + # Per-component relaxation + for i, rf in enumerate(self.relax_factors): + if rf < 1.0: + gfu.components[i].vec.data = ( + rf * gfu.components[i].vec + + (1.0 - rf) * gfu_prev.components[i].vec) + + # Bound-preserving Bezier/Bernstein limiter: GUARANTEES the per-element + # polynomial stays in bounds everywhere. Order is the + # scalar L2 order used for alpha_c in _construct_fes. + if self.slope_limiter: + ord_s = max(self.interp_ord - 1, 0) + ac = gfu.components[comp['alpha_c']] + self._lim.bezier_bound(ac, ac.space, ord_s, (0.0, 1.0)) + + # Match INS convergence testing: evaluate each local-error component + # independently and exclude pressure. + converged = True + for name, include in self.model_local_error_components.items(): + if not include: + continue + i = comp[name] + fes_component = self.fes.components[i] + err = norm('l2_norm', gfu_prev.components[i], gfu.components[i], + self.mesh, fes_component, average=False) + solution_norm = mean(gfu.components[i], self.mesh) + tolerance = (self.abs_nonlinear_tolerance + + self.rel_nonlinear_tolerance * solution_norm) + if err >= tolerance: + converged = False + break + + if converged: + logging.info(f'TFM Picard converged in {_it + 1} iteration(s).') + break + else: + logging.warning('TFM Picard did NOT converge within ' + f'{self.nonlinear_max_iters} iterations.') + + def update_linearization(self, gfu: GridFunction) -> None: + self.UIter.vec.data = gfu.vec diff --git a/pytests/helpers/test_ngsolve_.py b/pytests/helpers/test_ngsolve_.py new file mode 100644 index 0000000..d86cac5 --- /dev/null +++ b/pytests/helpers/test_ngsolve_.py @@ -0,0 +1,73 @@ +######################################################################################################################## +# Copyright 2021 the authors (see AUTHORS file for full list). # +# # +# This file is part of OpenCMP. # +# # +# OpenCMP is free software: you can redistribute it and/or modify it under the terms of the GNU Lesser General Public # +# License as published by the Free Software Foundation, either version 2.1 of the License, or (at your option) any # +# later version. # +# # +# OpenCMP is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied # +# warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more # +# details. # +# # +# You should have received a copy of the GNU Lesser General Public License along with OpenCMP. If not, see # +# . # +######################################################################################################################## + +import ngsolve as ngs +from netgen.csg import unit_cube +from numpy import allclose +from pytest import fixture + +from opencmp.helpers.ngsolve_ import curl_3d + + +@fixture +def cube_mesh() -> ngs.Mesh: + """A coarse unit-cube mesh.""" + + return ngs.Mesh(unit_cube.GenerateMesh(maxh=0.4)) + + +def test_curl_3d(cube_mesh) -> None: + """ + curl_3d against a field whose curl is known analytically. + + F = (x*y + 2*z^2, 3*x^2 - y*z, x*z + 5*y^2) -> curl(F) = (11*y, 3*z, 5*x). + + Every component of the expected curl carries a different coefficient AND a + different variable, so a permuted or sign-flipped gradient index cannot pass + by coincidence. F is quadratic, so an order-2 space represents it exactly and + the comparison holds to machine precision. + """ + + fes = ngs.H1(cube_mesh, order=2, dim=3) + gfu = ngs.GridFunction(fes) + gfu.Set(ngs.CoefficientFunction((ngs.x * ngs.y + 2 * ngs.z ** 2, + 3 * ngs.x ** 2 - ngs.y * ngs.z, + ngs.x * ngs.z + 5 * ngs.y ** 2))) + + expected = ngs.CoefficientFunction((11 * ngs.y, 3 * ngs.z, 5 * ngs.x)) + + for point in [(0.3, 0.4, 0.6), (0.15, 0.85, 0.25), (0.5, 0.5, 0.5)]: + mip = cube_mesh(*point) + assert allclose(curl_3d(gfu)(mip), expected(mip), atol=1e-10) + + +def test_curl_3d_of_a_gradient_is_zero(cube_mesh) -> None: + """curl(grad(phi)) == 0 for any smooth phi -- an identity, not a hand-computed value.""" + + phi = ngs.x ** 2 * ngs.y + ngs.y * ngs.z ** 2 + 3 * ngs.x * ngs.z + + fes = ngs.H1(cube_mesh, order=2, dim=3) + gfu = ngs.GridFunction(fes) + # grad(phi) written out componentwise so the test does not depend on the same + # gradient-flattening convention curl_3d is being tested for. + gfu.Set(ngs.CoefficientFunction((2 * ngs.x * ngs.y + 3 * ngs.z, + ngs.x ** 2 + ngs.z ** 2, + 2 * ngs.y * ngs.z + 3 * ngs.x))) + + for point in [(0.3, 0.4, 0.6), (0.7, 0.2, 0.1)]: + mip = cube_mesh(*point) + assert allclose(curl_3d(gfu)(mip), (0.0, 0.0, 0.0), atol=1e-10) From 51714ce35a7aeadbf15ab7db58a0185813c99da6 Mon Sep 17 00:00:00 2001 From: arshiiyyaa Date: Thu, 13 Aug 2026 11:53:47 -0400 Subject: [PATCH 2/8] add a 2D bubble column example for TFM --- examples/TFM/bc_2d.msh | 862 ++++++++++++++++++++++++ examples/TFM/bc_dir/bc_config | 18 + examples/TFM/config | 55 ++ examples/TFM/ic_dir/ic_config | 7 + examples/TFM/model_dir/model_config | 24 + examples/TFM/ref_sol_dir/ref_sol_config | 3 + 6 files changed, 969 insertions(+) create mode 100644 examples/TFM/bc_2d.msh create mode 100644 examples/TFM/bc_dir/bc_config create mode 100644 examples/TFM/config create mode 100644 examples/TFM/ic_dir/ic_config create mode 100644 examples/TFM/model_dir/model_config create mode 100644 examples/TFM/ref_sol_dir/ref_sol_config diff --git a/examples/TFM/bc_2d.msh b/examples/TFM/bc_2d.msh new file mode 100644 index 0000000..0f076f6 --- /dev/null +++ b/examples/TFM/bc_2d.msh @@ -0,0 +1,862 @@ +$MeshFormat +2.2 0 8 +$EndMeshFormat +$PhysicalNames +6 +1 14 "wall" +1 15 "outlet" +1 16 "bottom" +1 17 "empty" +2 12 "injection" +2 13 "surface" +$EndPhysicalNames +$Nodes +269 +1 0 0 0 +2 0.2 0 0 +3 0.2 0.45 0 +4 0 0.45 0 +5 0.08 0.01 0 +6 0.12 0.01 0 +7 0.12 0.03 0 +8 0.08 0.03 0 +9 0.02857142857142862 0 0 +10 0.05714285714285725 0 0 +11 0.0857142857142858 0 0 +12 0.1142857142857144 0 0 +13 0.1428571428571429 0 0 +14 0.1714285714285715 0 0 +15 0.06000000000000001 0.007500000000000001 0 +16 0.04000000000000004 0.005000000000000005 0 +17 0.02000000000000005 0.002500000000000006 0 +18 0.09333333333333332 0.01 0 +19 0.1066666666666667 0.01 0 +20 0.14 0.007500000000000001 0 +21 0.16 0.005000000000000005 0 +22 0.18 0.002500000000000006 0 +23 0.12 0.02333333333333334 0 +24 0.12 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20 +565 2 2 13 4 23 242 7 +566 2 2 13 4 20 267 6 +567 2 2 13 4 53 3 71 +568 2 2 13 4 7 256 88 +569 2 2 13 4 242 256 7 +570 2 2 13 4 53 72 54 +571 2 2 13 4 71 72 53 +572 2 2 13 4 54 73 55 +573 2 2 13 4 72 73 54 +574 2 2 13 4 55 74 56 +575 2 2 13 4 55 73 74 +$EndElements diff --git a/examples/TFM/bc_dir/bc_config b/examples/TFM/bc_dir/bc_config new file mode 100644 index 0000000..4242882 --- /dev/null +++ b/examples/TFM/bc_dir/bc_config @@ -0,0 +1,18 @@ +[DIRICHLET] +# No-slip continuous phase on the column sides and base. +u_c = wall -> [0.0, 0.0] + bottom -> [0.0, 0.0] + +[SLIP] +# Impermeable dispersed phase with zero tangential traction. +u_d = wall|bottom + +[NEUMANN] +# Free outlet for both phase momentum. +u_c = outlet -> [0.0, 0.0] +u_d = outlet -> [0.0, 0.0] + +# zero alpha_c back-flux +alpha_c = outlet -> 0.0 + wall -> 0.0 + bottom -> 0.0 diff --git a/examples/TFM/config b/examples/TFM/config new file mode 100644 index 0000000..19d123c --- /dev/null +++ b/examples/TFM/config @@ -0,0 +1,55 @@ +[MESH] +filename = bc_2d.msh + +[FINITE ELEMENT SPACE] +elements = u_c -> HDiv + u_d -> HDiv + p -> L2 + alpha_c -> L2 +interpolant_order = 2 + +[DG] +DG = True +interior_penalty_coefficient = 10.0 + +[SOLVER] +linear_solver = direct +preconditioner = default +linearization_method = Picard +nonlinear_solver = default +nonlinear_tolerance = relative -> 1e-4 + absolute -> 1e-4 +nonlinear_max_iterations = 10 +relaxation_factors = 1.0, 1.0, 1.0, 1.0 + +[TRANSIENT] +transient = True +scheme = adaptive three step +time_range = 0.0, 3 +dt = 1e-4 +dt_tolerance = relative -> 0.0 + absolute -> 1e-4 +dt_range = 1e-8, 1e-2 +maximum_rejected_solves = 10 + +[VISUALIZATION] +save_to_file = True +save_type = .vtu +save_frequency = 5, numit + +[OTHER] +#resume_from_previous = True +#restart_from = LATEST +num_threads = 1 +model = TwoFluidModel +run_dir = . +slope_limiter = True +diffusion_switch = True + +[TFM] +canonical_form = Brennen +IME = drag, virtual_mass, dispersion, lift +drag_model = Tomiyama +lift_model = Tomiyama +lift_wall_deactivation = True +lift_wall_boundaries = wall|bottom diff --git a/examples/TFM/ic_dir/ic_config b/examples/TFM/ic_dir/ic_config new file mode 100644 index 0000000..80b608f --- /dev/null +++ b/examples/TFM/ic_dir/ic_config @@ -0,0 +1,7 @@ +[TwoFluidModel] +# Initially quiescent liquid column. +u_c = all -> [0.0, 0.0] +u_d = all -> [0.0, 0.0] + +# Column initially contains only the continuous phase. +alpha_c = all -> 1.0 diff --git a/examples/TFM/model_dir/model_config b/examples/TFM/model_dir/model_config new file mode 100644 index 0000000..ffe32a3 --- /dev/null +++ b/examples/TFM/model_dir/model_config @@ -0,0 +1,24 @@ +[PARAMETERS] +# Phase densities (kg/m^3) +rho_c = all -> 998.2 +rho_d = all -> 1.204 + +# Kinematic viscosities (m^2/s) +nu_c = all -> 1.0038e-6 +nu_d = all -> 1.5158e-5 + +# Surface tension (N/m) +sigma_c = all -> 0.072 + +# Bubble diameter (m) +dp = all -> 3e-3 + +# Interphase force constants +c_vm = all -> 0.5 +cdis = all -> 4.545 +d_artificial = all -> 1e-3 + +[INJECTION] +region = injection +mass_flow_rate = 0.3 +velocity = 0.0 diff --git a/examples/TFM/ref_sol_dir/ref_sol_config b/examples/TFM/ref_sol_dir/ref_sol_config new file mode 100644 index 0000000..b0ece3e --- /dev/null +++ b/examples/TFM/ref_sol_dir/ref_sol_config @@ -0,0 +1,3 @@ +[REFERENCE SOLUTIONS] + +[METRICS] From cb65ba06f30a10cc77d8a2495c5ea01daf4edb9d Mon Sep 17 00:00:00 2001 From: arshiiyyaa Date: Thu, 13 Aug 2026 15:49:59 -0400 Subject: [PATCH 3/8] fix a mistake in virtual mass weakform and support robust stationary solves --- opencmp/models/tfm.py | 54 ++++++++++++++++++++++++++++++++++++++++++- 1 file changed, 53 insertions(+), 1 deletion(-) diff --git a/opencmp/models/tfm.py b/opencmp/models/tfm.py index c5c110a..9e1c1de 100644 --- a/opencmp/models/tfm.py +++ b/opencmp/models/tfm.py @@ -119,6 +119,7 @@ def _pre_init(self) -> None: # Artificial diffusion on the alpha_c transport. self.diffusion_switch = self._other_option('diffusion_switch', bool, False) + self.mean_zero_pressure = self._other_option('mean_zero_pressure', bool, False) # Lift wall-deactivation taper (off by default; costs one wall-distance solve). self.lift_wall_deactivation = self._tfm_option('lift_wall_deactivation', bool, False) @@ -170,7 +171,10 @@ def _construct_fes(self) -> FESpace: # alpha_c is an ordinary scalar transport variable -- any element the user asks for. # No `dirichlet` here: its BCs are imposed weakly through the UDS flux terms. fes_ac = getattr(ngs, self.element['alpha_c'])(self.mesh, order=scalar_ord, dgjumps=self.DG) - return FESpace([fes_uc, fes_ud, fes_p, fes_ac], dgjumps=self.DG) + spaces = [fes_uc, fes_ud, fes_p, fes_ac] + if getattr(self, 'mean_zero_pressure', False): + spaces.append(ngs.NumberSpace(self.mesh)) + return FESpace(spaces, dgjumps=self.DG) def _set_model_parameters(self) -> None: p = self.model_functions.model_parameters_dict @@ -183,6 +187,7 @@ def _set_model_parameters(self) -> None: self.C_VM = p['c_vm']['all'] self.Cdis = p['cdis']['all'] self.D_art = p['d_artificial']['all'] + self.f = self.model_functions.model_functions_dict.get('source', {}) model_config = self.model_functions.config self.injection_switch = model_config.has_section('INJECTION') @@ -458,6 +463,9 @@ def construct_bilinear_time_ODE(self, a += (ngs.div(ud) * q) * ngs.dx a += (-Ac * ngs.div(ud) * q) * ngs.dx a += (-ngs.grad(Ac) * ud * q) * ngs.dx + if self.mean_zero_pressure: + pressure_mean, pressure_mean_test = U[-1], V[-1] + a += (pressure_mean * q + p * pressure_mean_test) * ngs.dx # ============================================================ # 3 & 4. Phase momentum conservation (c and d) @@ -594,6 +602,10 @@ def construct_bilinear_time_ODE(self, a += (dt * VM_c * (-ngs.InnerProduct(ngs.grad(vc), ngs.OuterProduct(ud, wd)) + ngs.InnerProduct(ngs.grad(vc), ngs.OuterProduct(uc, wc)) + (-ngs.div(wd)*ud*vc + ngs.div(wc)*uc*vc))) * ngs.dx + grad_VM_c = C_VM * ngs.grad(Ac) / (Ac**2) + vm_flux_difference = (ngs.OuterProduct(ud, wd) + - ngs.OuterProduct(uc, wc)) + a += (dt * -(vm_flux_difference.trans * grad_VM_c) * vc) * ngs.dx a += (dt * VM_c * ngs.InnerProduct(ngs.OuterProduct(jump(vc), n), self._NF_UDS_mom(ud, wd))) * ngs.dx(skeleton=True) a += (dt * -VM_c * ngs.InnerProduct(ngs.OuterProduct(jump(vc), n), @@ -677,6 +689,17 @@ def construct_linear(self, L = ngs.CoefficientFunction(0.0) * ngs.dx + # Optional manufactured/general volume sources. Their signs follow the + # four strong equations represented by (u_c, u_d, p, alpha_c). + if 'u_c' in self.f: + L += (dt * self.f['u_c'][ts] * vc) * ngs.dx + if 'u_d' in self.f: + L += (dt * self.f['u_d'][ts] * vd) * ngs.dx + if 'p' in self.f: + L += (self.f['p'][ts] * q) * ngs.dx + if 'alpha_c' in self.f: + L += (dt * self.f['alpha_c'][ts] * r) * ngs.dx + # ============================================================ # 1. Alpha_c — linear contributions # ============================================================ @@ -882,3 +905,32 @@ def solve_single_step(self, def update_linearization(self, gfu: GridFunction) -> None: self.UIter.vec.data = gfu.vec + + def linearized_solve(self, a_assembled: BilinearForm, L_assembled: LinearForm, + precond: Preconditioner, gfu: GridFunction): + """Perform one stationary Picard iteration and report its change.""" + previous = ngs.GridFunction(self.fes) + previous.vec.data = gfu.vec + self.linear_solve(a_assembled, L_assembled, precond, gfu) + + # The stationary solver performs one Picard solve per outer iteration, + # so apply the same component-wise under-relaxation used by + # solve_single_step for transient TFM solves. + for i, relaxation in enumerate(self.relax_factors): + if relaxation < 1.0: + gfu.components[i].vec.data = ( + relaxation * gfu.components[i].vec + + (1.0 - relaxation) * previous.components[i].vec) + + error = 0.0 + solution_norm = 0.0 + for name, include in self.model_local_error_components.items(): + if not include: + continue + component = self.model_components[name] + space = self.fes.components[component] + error = max(error, norm('l2_norm', previous.components[component], + gfu.components[component], self.mesh, space, + average=False)) + solution_norm = max(solution_norm, mean(gfu.components[component], self.mesh)) + return error, solution_norm From ff279f2c8c6b7e90b65b1475d94733d1b9ad439d Mon Sep 17 00:00:00 2001 From: arshiiyyaa Date: Thu, 13 Aug 2026 15:50:17 -0400 Subject: [PATCH 4/8] add tests for TFM --- pytests/full_system/tfm/bc_dir/bc_config | 17 ++ pytests/full_system/tfm/config | 47 +++++ pytests/full_system/tfm/ic_dir/ic_config | 5 + pytests/full_system/tfm/import_functions.py | 152 ++++++++++++++ .../full_system/tfm/model_dir/model_config | 16 ++ .../tfm/ref_sol_dir/ref_sol_config | 8 + .../full_system/tfm/test_tfm_conservation.py | 188 ++++++++++++++++++ .../full_system/tfm/test_tfm_convergence.py | 98 +++++++++ pytests/models/test_tfm.py | 180 +++++++++++++++++ 9 files changed, 711 insertions(+) create mode 100644 pytests/full_system/tfm/bc_dir/bc_config create mode 100644 pytests/full_system/tfm/config create mode 100644 pytests/full_system/tfm/ic_dir/ic_config create mode 100644 pytests/full_system/tfm/import_functions.py create mode 100644 pytests/full_system/tfm/model_dir/model_config create mode 100644 pytests/full_system/tfm/ref_sol_dir/ref_sol_config create mode 100644 pytests/full_system/tfm/test_tfm_conservation.py create mode 100644 pytests/full_system/tfm/test_tfm_convergence.py create mode 100644 pytests/models/test_tfm.py diff --git a/pytests/full_system/tfm/bc_dir/bc_config b/pytests/full_system/tfm/bc_dir/bc_config new file mode 100644 index 0000000..d92f2b5 --- /dev/null +++ b/pytests/full_system/tfm/bc_dir/bc_config @@ -0,0 +1,17 @@ +[DIRICHLET] +u_c = bottom -> [1-0.01*cos(pi*x)*sin(pi*y), 0.01*sin(pi*x)*cos(pi*y)] + right -> [1-0.01*cos(pi*x)*sin(pi*y), 0.01*sin(pi*x)*cos(pi*y)] + top -> [1-0.01*cos(pi*x)*sin(pi*y), 0.01*sin(pi*x)*cos(pi*y)] + left -> [1-0.01*cos(pi*x)*sin(pi*y), 0.01*sin(pi*x)*cos(pi*y)] +u_d = bottom -> [1+0.01*sin(pi*x)*sin(pi*y), 0.01*cos(pi*x)*cos(pi*y)] + right -> [1+0.01*sin(pi*x)*sin(pi*y), 0.01*cos(pi*x)*cos(pi*y)] + top -> [1+0.01*sin(pi*x)*sin(pi*y), 0.01*cos(pi*x)*cos(pi*y)] + left -> [1+0.01*sin(pi*x)*sin(pi*y), 0.01*cos(pi*x)*cos(pi*y)] +alpha_c = bottom -> 0.9+0.002*sin(pi*x+pi/4)*cos(pi*y) + right -> 0.9+0.002*sin(pi*x+pi/4)*cos(pi*y) + top -> 0.9+0.002*sin(pi*x+pi/4)*cos(pi*y) + left -> 0.9+0.002*sin(pi*x+pi/4)*cos(pi*y) + +[NEUMANN] + +[SLIP] diff --git a/pytests/full_system/tfm/config b/pytests/full_system/tfm/config new file mode 100644 index 0000000..8d50760 --- /dev/null +++ b/pytests/full_system/tfm/config @@ -0,0 +1,47 @@ +[MESH] +filename = pytests/mesh_files/unit_square_coarse.vol + +[DIM] +diffuse_interface_method = False + +[FINITE ELEMENT SPACE] +elements = u_c -> HDiv + u_d -> HDiv + p -> L2 + alpha_c -> L2 +interpolant_order = 2 + +[DG] +DG = True +interior_penalty_coefficient = 20.0 + +[SOLVER] +linear_solver = direct +preconditioner = default +nonlinear_solver = NoMixing +nonlinear_tolerance = relative -> 1e-5 + absolute -> 1e-8 +nonlinear_max_iterations = 100 +relaxation_factors = 0.2, 0.2, 0.2, 0.2 + +[TRANSIENT] +transient = False + +[VISUALIZATION] +save_to_file = False + +[ERROR ANALYSIS] +check_error = False + +[OTHER] +num_threads = 1 +model = TwoFluidModel +run_dir = pytests/full_system/tfm +slope_limiter = False +diffusion_switch = False +mean_zero_pressure = True + +[TFM] +canonical_form = Ishii +IME = +lift_wall_deactivation = False diff --git a/pytests/full_system/tfm/ic_dir/ic_config b/pytests/full_system/tfm/ic_dir/ic_config new file mode 100644 index 0000000..480f08f --- /dev/null +++ b/pytests/full_system/tfm/ic_dir/ic_config @@ -0,0 +1,5 @@ +[TwoFluidModel] +u_c = all -> [1.0, 0.0] +u_d = all -> [1.0, 0.0] +p = all -> 0.0 +alpha_c = all -> 0.9 diff --git a/pytests/full_system/tfm/import_functions.py b/pytests/full_system/tfm/import_functions.py new file mode 100644 index 0000000..f9d607c --- /dev/null +++ b/pytests/full_system/tfm/import_functions.py @@ -0,0 +1,152 @@ +import ngsolve as ngs +from opencmp.helpers.math import Max, Min, tanh + + +ACTIVE_IME = frozenset() + + +def set_active_ime(ime): + global ACTIVE_IME + ACTIVE_IME = frozenset(ime) + + +def exact_solution(t=None): + k = ngs.pi + uc = ngs.CoefficientFunction(( + 1.0 - 0.01 * ngs.cos(k * ngs.x) * ngs.sin(k * ngs.y), + 0.01 * ngs.sin(k * ngs.x) * ngs.cos(k * ngs.y), + )) + ud = ngs.CoefficientFunction(( + 1.0 + 0.01 * ngs.sin(k * ngs.x) * ngs.sin(k * ngs.y), + 0.01 * ngs.cos(k * ngs.x) * ngs.cos(k * ngs.y), + )) + p = -0.0025 * (ngs.cos(2 * k * ngs.x) + ngs.cos(2 * k * ngs.y)) + alpha_c = 0.9 + 0.002 * ngs.sin(k * ngs.x + ngs.pi / 4) * ngs.cos(k * ngs.y) + return uc, ud, p, alpha_c + + +def _value(t_param, time_step, component): + return exact_solution(t_param[time_step])[component] + + +def exact_uc(t_param, model_variables, mesh, time_step): + return _value(t_param, time_step, 0) + + +def exact_ud(t_param, model_variables, mesh, time_step): + return _value(t_param, time_step, 1) + + +def exact_p(t_param, model_variables, mesh, time_step): + return _value(t_param, time_step, 2) + + +def exact_alpha_c(t_param, model_variables, mesh, time_step): + return _value(t_param, time_step, 3) + + +def _div_vector(v): + return v[0].Diff(ngs.x) + v[1].Diff(ngs.y) + + +def _grad_scalar(s): + return ngs.CoefficientFunction((s.Diff(ngs.x), s.Diff(ngs.y))) + + +def _grad_vector(v): + return ngs.CoefficientFunction(( + (v[0].Diff(ngs.x), v[1].Diff(ngs.x)), + (v[0].Diff(ngs.y), v[1].Diff(ngs.y)), + ), dims=(2, 2)) + + +def _div_tensor(T): + return ngs.CoefficientFunction(( + T[0].Diff(ngs.x) + T[2].Diff(ngs.y), + T[1].Diff(ngs.x) + T[3].Diff(ngs.y), + )) + + +def source_alpha_c(t_param, model_variables, mesh, time_step): + _, ud, _, alpha_c = exact_solution() + return _div_vector(alpha_c * ud) - _div_vector(ud) + + +def source_mixture_mass(t_param, model_variables, mesh, time_step): + uc, ud, _, alpha_c = exact_solution() + return _div_vector(alpha_c * uc) + _div_vector((1 - alpha_c) * ud) + + +def _momentum_source(phase): + uc, ud, p, alpha_c = exact_solution() + if phase == 'c': + u, rho, nu, alpha = uc, 1.0, 0.01, alpha_c + else: + u, rho, nu, alpha = ud, 1.0, 0.01, 1 - alpha_c + convection = _div_tensor(ngs.OuterProduct(u, u)) - u * _div_vector(u) + source = convection + _grad_scalar(p) / rho + grad_u = _grad_vector(u) + identity = ngs.CoefficientFunction(((1, 0), (0, 1)), dims=(2, 2)) + stress = grad_u + grad_u.trans - (2.0 / 3.0) * _div_vector(u) * identity + alpha_denominator = alpha if phase == 'c' else alpha + 1e-5 + source -= nu * (_div_tensor(stress) + + stress.trans * _grad_scalar(alpha) / alpha_denominator) + gravity = ngs.CoefficientFunction((0.0, -9.81)) + source -= gravity + + relative_velocity = ud - uc + relative_speed = ngs.Norm(relative_velocity) + rho_c = rho_d = 1.0 + dp = 1.0 + c_vm = 0.2 + cdis = 0.1 + ad = 1 - alpha_c + + re = relative_speed * dp / 0.01 + cd = ngs.IfPos( + re, + Max(Min(24 / re * (1 + 0.15 * re**0.687), 72 / re), 0.0), + ngs.CoefficientFunction(0.0), + ) + + if 'drag' in ACTIVE_IME: + if phase == 'd': + source += 0.75 * cd * rho_c / (rho_d * dp) * relative_speed * relative_velocity + else: + source += -0.75 * cd * ad / (alpha_c * dp) * relative_speed * relative_velocity + + acceleration_difference = ( + _div_tensor(ngs.OuterProduct(ud, ud)) - ud * _div_vector(ud) + - _div_tensor(ngs.OuterProduct(uc, uc)) + uc * _div_vector(uc) + ) + if 'virtual_mass' in ACTIVE_IME: + coefficient = (rho_c * c_vm / rho_d if phase == 'd' + else -ad * c_vm / alpha_c) + source += coefficient * acceleration_difference + + if 'lift' in ACTIVE_IME: + # Tomiyama coefficient with Eo=0 for this equal-density MMS case. + cl = Min(0.288 * tanh(0.121 * re), 0.474) + curl_uc = _grad_vector(uc)[1] - _grad_vector(uc)[2] + lift_vector = ngs.CoefficientFunction((relative_velocity[1], + -relative_velocity[0])) + coefficient = (rho_c / rho_d if phase == 'd' else -ad / alpha_c) + source += cl * coefficient * curl_uc * lift_vector + + if 'dispersion' in ACTIVE_IME: + hindered = 1 - 1.166 * ad + 0.5 * ad**2 + coefficient = (0.75 * cd * cdis * rho_c / rho_d * hindered * relative_speed**2 + if phase == 'd' + else -0.75 * cd * cdis * ad / alpha_c * hindered * relative_speed**2) + # Dispersion is assembled on the linear-form side in TwoFluidModel. + source -= coefficient * _grad_scalar(alpha_c) + + return source + + +def source_uc(t_param, model_variables, mesh, time_step): + return _momentum_source('c') + + +def source_ud(t_param, model_variables, mesh, time_step): + return _momentum_source('d') diff --git a/pytests/full_system/tfm/model_dir/model_config b/pytests/full_system/tfm/model_dir/model_config new file mode 100644 index 0000000..0139901 --- /dev/null +++ b/pytests/full_system/tfm/model_dir/model_config @@ -0,0 +1,16 @@ +[PARAMETERS] +rho_c = all -> 1.0 +rho_d = all -> 1.0 +nu_c = all -> 0.01 +nu_d = all -> 0.01 +sigma_c = all -> 0.072 +dp = all -> 1.0 +c_vm = all -> 0.2 +cdis = all -> 0.1 +d_artificial = all -> 0.0 + +[FUNCTIONS] +source = u_c -> IMPORT(source_uc) + u_d -> IMPORT(source_ud) + p -> IMPORT(source_mixture_mass) + alpha_c -> IMPORT(source_alpha_c) diff --git a/pytests/full_system/tfm/ref_sol_dir/ref_sol_config b/pytests/full_system/tfm/ref_sol_dir/ref_sol_config new file mode 100644 index 0000000..73df1bf --- /dev/null +++ b/pytests/full_system/tfm/ref_sol_dir/ref_sol_config @@ -0,0 +1,8 @@ +[REFERENCE SOLUTIONS] +u_c = [-cos(2*pi*x)*sin(2*pi*y), sin(2*pi*x)*cos(2*pi*y)] +u_d = [sin(2*pi*x)*sin(2*pi*y), cos(2*pi*x)*cos(2*pi*y)] +p = -0.25*(cos(4*pi*x)+cos(4*pi*y)) +alpha_c = 0.9+0.02*sin(2*pi*x+pi/4)*cos(2*pi*y) + +[METRICS] +l2_norm = u_c, u_d, p, alpha_c diff --git a/pytests/full_system/tfm/test_tfm_conservation.py b/pytests/full_system/tfm/test_tfm_conservation.py new file mode 100644 index 0000000..7d3e9fc --- /dev/null +++ b/pytests/full_system/tfm/test_tfm_conservation.py @@ -0,0 +1,188 @@ +import math +from pathlib import Path + +import ngsolve as ngs +import pytest + +from opencmp.helpers.math import Max, Min, tanh +from opencmp.config_functions import ConfigParser +from opencmp.models import get_model_class +from opencmp.solvers import get_solver_class +from import_functions import (_div_tensor, _div_vector, _grad_scalar, + exact_solution, set_active_ime) + + +def _integrate_vector(field, mesh): + return tuple(ngs.Integrate(field[i], mesh) for i in range(mesh.dim)) + + +def _physical_ime_forces(mechanism): + uc, ud, _, ac = exact_solution() + ad = 1 - ac + rho_c = rho_d = dp = 1.0 + nu_c = 0.01 + c_vm = 0.2 + cdis = 0.1 + relative = ud - uc + speed = ngs.Norm(relative) + re = speed * dp / nu_c + cd = ngs.IfPos( + re, + Max(Min(24 / re * (1 + 0.15 * re**0.687), 72 / re), 0.0), + ngs.CoefficientFunction(0.0), + ) + + per_mass_d = ngs.CoefficientFunction((0.0, 0.0)) + per_mass_c = ngs.CoefficientFunction((0.0, 0.0)) + + if mechanism == 'drag': + per_mass_d = 0.75 * cd * rho_c / (rho_d * dp) * speed * relative + per_mass_c = -0.75 * cd * ad / (ac * dp) * speed * relative + elif mechanism == 'dispersion': + hindered = 1 - 1.166 * ad + 0.5 * ad**2 + per_mass_d = (0.75 * cd * cdis * rho_c / rho_d + * hindered * speed**2 * _grad_scalar(ac)) + per_mass_c = (-0.75 * cd * cdis * ad / ac + * hindered * speed**2 * _grad_scalar(ac)) + elif mechanism == 'virtual_mass': + acceleration_difference = ( + _div_tensor(ngs.OuterProduct(ud, ud)) - ud * _div_vector(ud) + - _div_tensor(ngs.OuterProduct(uc, uc)) + uc * _div_vector(uc) + ) + per_mass_d = rho_c * c_vm / rho_d * acceleration_difference + per_mass_c = -ad * c_vm / ac * acceleration_difference + elif mechanism == 'lift': + cl = Min(0.288 * tanh(0.121 * re), 0.474) + grad_uc = ngs.CoefficientFunction(( + (uc[0].Diff(ngs.x), uc[1].Diff(ngs.x)), + (uc[0].Diff(ngs.y), uc[1].Diff(ngs.y)), + ), dims=(2, 2)) + curl_uc = grad_uc[1] - grad_uc[2] + lift_direction = ngs.CoefficientFunction((relative[1], -relative[0])) + per_mass_d = cl * rho_c / rho_d * curl_uc * lift_direction + per_mass_c = -cl * ad / ac * curl_uc * lift_direction + else: + raise ValueError(mechanism) + + return ad * rho_d * per_mass_d, ac * rho_c * per_mass_c + + +def test_global_mass_conservation(capsys): + mesh = ngs.Mesh('pytests/mesh_files/unit_square_coarse.vol') + for _ in range(3): + mesh.Refine() + + uc, ud, _, ac = exact_solution() + ad = 1 - ac + normal = ngs.specialcf.normal(mesh.dim) + + dispersed_source = _div_vector(ad * ud) + mixture_source = _div_vector(ac * uc) + _div_vector(ad * ud) + + dispersed_volume = ngs.Integrate(dispersed_source, mesh) + dispersed_boundary = ngs.Integrate(ad * ud * normal, mesh, ngs.BND) + mixture_volume = ngs.Integrate(mixture_source, mesh) + mixture_boundary = ngs.Integrate((ac * uc + ad * ud) * normal, + mesh, ngs.BND) + + dispersed_residual = dispersed_volume - dispersed_boundary + mixture_residual = mixture_volume - mixture_boundary + print('TFM global dispersed mass residual: {:.6e}'.format(dispersed_residual)) + print('TFM global mixture mass residual: {:.6e}'.format(mixture_residual)) + + assert dispersed_residual == pytest.approx(0.0, abs=1e-11) + assert mixture_residual == pytest.approx(0.0, abs=1e-11) + + +def test_discrete_all_ime_global_mass_conservation(tmp_path: Path): + ime = ('drag', 'dispersion', 'virtual_mass', 'lift') + set_active_ime(ime) + mesh = ngs.Mesh('pytests/mesh_files/unit_square_coarse.vol') + for _ in range(2): + mesh.Refine() + mesh_file = tmp_path / 'unit_square_refined.vol' + mesh.ngmesh.Save(str(mesh_file)) + + config = ConfigParser('pytests/full_system/tfm/config') + config.set('MESH', 'filename', str(mesh_file)) + config.set('TFM', 'IME', ', '.join(ime)) + config.set('TFM', 'lift_wall_deactivation', 'False') + solver = get_solver_class(config)(get_model_class('TwoFluidModel', False), + config) + + exact = exact_solution(0.0) + for name, component in solver.model.model_components.items(): + solver.model.UIter.components[component].Set(exact[component]) + solver._create_linear_and_bilinear_forms() + solver._create_preconditioners() + solver._assemble() + solver.gfu.vec.data = solver.model.IC.vec + solver._apply_boundary_conditions() + solver.model.linear_solve(solver.a[0], solver.L[0], + solver.preconditioners[0], solver.gfu) + + algebraic_residual = solver.L[0].vec.CreateVector() + algebraic_residual.data = (solver.L[0].vec + - solver.a[0].mat * solver.gfu.vec) + pressure_component = solver.model.model_components['p'] + pressure_dofs = solver.model.fes.Range(pressure_component) + mixture_weak_residual = algebraic_residual[pressure_dofs].Norm() + + uc = solver.gfu.components[solver.model.model_components['u_c']] + ud = solver.gfu.components[solver.model.model_components['u_d']] + ac = solver.gfu.components[solver.model.model_components['alpha_c']] + normal = ngs.specialcf.normal(solver.model.mesh.dim) + + mixture_source = solver.model.f['p'][0] + alpha_source = solver.model.f['alpha_c'][0] + mixture_strong_defect = ( + exact[3] * ngs.div(uc) + _grad_scalar(exact[3]) * uc + + ngs.div(ud) - exact[3] * ngs.div(ud) + - _grad_scalar(exact[3]) * ud - mixture_source + ) + mixture_strong_l2 = math.sqrt(ngs.Integrate( + mixture_strong_defect**2, solver.model.mesh)) + mixture_residual = ( + ngs.Integrate(mixture_source, solver.model.mesh) + - ngs.Integrate((exact[3] * uc + (1 - exact[3]) * ud) * normal, + solver.model.mesh, ngs.BND) + ) + dispersed_residual = ( + ngs.Integrate(-alpha_source, solver.model.mesh) + - ngs.Integrate((1 - ac) * exact[1] * normal, + solver.model.mesh, ngs.BND) + ) + print('TFM discrete all-IME mixture mass residual: {:.6e}'.format( + mixture_residual)) + print('TFM discrete all-IME dispersed mass residual: {:.6e}'.format( + dispersed_residual)) + print('TFM discrete all-IME mixture weak residual: {:.6e}'.format( + mixture_weak_residual)) + print('TFM discrete all-IME mixture strong L2 defect: {:.6e}'.format( + mixture_strong_l2)) + assert mixture_residual == pytest.approx(0.0, abs=1e-10) + assert dispersed_residual == pytest.approx(0.0, abs=1e-10) + assert mixture_weak_residual < 1e-10 + + +@pytest.mark.parametrize('mechanism', + ['drag', 'dispersion', 'virtual_mass', 'lift']) +def test_ime_action_reaction_conservation(mechanism): + mesh = ngs.Mesh('pytests/mesh_files/unit_square_coarse.vol') + force_d, force_c = _physical_ime_forces(mechanism) + residual = _integrate_vector(force_d + force_c, mesh) + print('TFM {} action-reaction residual: ({:.6e}, {:.6e})'.format( + mechanism, residual[0], residual[1])) + assert math.hypot(*residual) < 1e-12 + + +def test_combined_ime_action_reaction_conservation(): + mesh = ngs.Mesh('pytests/mesh_files/unit_square_coarse.vol') + total = ngs.CoefficientFunction((0.0, 0.0)) + for mechanism in ('drag', 'dispersion', 'virtual_mass', 'lift'): + force_d, force_c = _physical_ime_forces(mechanism) + total += force_d + force_c + residual = _integrate_vector(total, mesh) + print('TFM combined IME action-reaction residual: ({:.6e}, {:.6e})'.format( + residual[0], residual[1])) + assert math.hypot(*residual) < 1e-12 diff --git a/pytests/full_system/tfm/test_tfm_convergence.py b/pytests/full_system/tfm/test_tfm_convergence.py new file mode 100644 index 0000000..14495ca --- /dev/null +++ b/pytests/full_system/tfm/test_tfm_convergence.py @@ -0,0 +1,98 @@ +import math +from pathlib import Path + +import ngsolve as ngs +import pytest + +from opencmp.config_functions import ConfigParser +from opencmp.models import get_model_class +from opencmp.solvers import get_solver_class +from import_functions import exact_solution, set_active_ime + + +def _l2_errors(solution, model, time): + exact = exact_solution(time) + errors = {} + for name, component in model.model_components.items(): + difference = solution.components[component] - exact[component] + if name == 'p': + difference -= ngs.Integrate(difference, model.mesh) / ngs.Integrate(1, model.mesh) + errors[name] = math.sqrt(ngs.Integrate(difference * difference, model.mesh)) + uc = solution.components[model.model_components['u_c']] + ud = solution.components[model.model_components['u_d']] + ac = exact[3] + grad_ac = ngs.CoefficientFunction((ac.Diff(ngs.x), ac.Diff(ngs.y))) + mixture_defect = ( + ac * ngs.div(uc) + grad_ac * uc + + ngs.div(ud) - ac * ngs.div(ud) - grad_ac * ud + - model.f['p'][0] + ) + errors['mixture_mass'] = math.sqrt(ngs.Integrate( + mixture_defect**2, model.mesh)) + return errors + + +def _solve_about_exact_picard_state(solver): + exact = exact_solution(0.0) + for name, component in solver.model.model_components.items(): + solver.model.UIter.components[component].Set(exact[component]) + + solver._create_linear_and_bilinear_forms() + solver._create_preconditioners() + solver._assemble() + solver.gfu.vec.data = solver.gfu_0_list[0].vec + solver._apply_boundary_conditions() + solver.model.linear_solve(solver.a[0], solver.L[0], + solver.preconditioners[0], solver.gfu) + return solver.gfu + + +@pytest.mark.parametrize('ime', [ + (), + ('drag',), + ('drag', 'dispersion'), + ('lift',), + ('virtual_mass',), + ('drag', 'dispersion', 'virtual_mass', 'lift'), +], ids=['no-ime', 'drag', 'drag-dispersion', 'lift', 'virtual-mass', 'all-ime']) +def test_tfm_manufactured_solution_h_convergence(tmp_path: Path, ime) -> None: + set_active_ime(ime) + case_name = '+'.join(ime) if ime else 'no-ime' + errors = [] + element_counts = [] + base_mesh = 'pytests/mesh_files/unit_square_coarse.vol' + + for level in range(1, 5): + mesh = ngs.Mesh(base_mesh) + for _ in range(level): + mesh.Refine() + mesh_file = tmp_path / ('unit_square_refined_{}.vol'.format(level)) + mesh.ngmesh.Save(str(mesh_file)) + + config = ConfigParser('pytests/full_system/tfm/config') + config.set('MESH', 'filename', str(mesh_file)) + config.set('TFM', 'IME', ', '.join(ime)) + config.set('TFM', 'lift_wall_deactivation', 'False') + solver = get_solver_class(config)(get_model_class('TwoFluidModel', False), config) + solver.gfu_0_list[0].vec.data = solver.model.IC.vec + solution = _solve_about_exact_picard_state(solver) + errors.append(_l2_errors(solution, solver.model, 0.0)) + element_counts.append(solver.model.mesh.ne) + + for variable in ('u_c', 'u_d', 'p', 'alpha_c', 'mixture_mass'): + assert errors[-1][variable] < errors[0][variable] + rates = [ + math.log(errors[level][variable] / errors[level + 1][variable]) + / math.log(math.sqrt(element_counts[level + 1] / element_counts[level])) + for level in range(len(errors) - 1) + ] + print('TFM MMS [{}] {}: errors={}, orders={}'.format( + case_name, variable, + ['{:.6e}'.format(level[variable]) for level in errors], + ['{:.3f}'.format(rate) for rate in rates])) + # The strong mixture residual contains derivatives of the HDiv + # velocity error and therefore converges one order below the velocity + # L2 error. All solution variables should exceed first order; the + # strong mixture defect should approach its expected first order. + minimum_order = 0.9 if variable == 'mixture_mass' else 1.0 + assert min(rates[-2:]) > minimum_order, (variable, errors, rates) diff --git a/pytests/models/test_tfm.py b/pytests/models/test_tfm.py new file mode 100644 index 0000000..18a0062 --- /dev/null +++ b/pytests/models/test_tfm.py @@ -0,0 +1,180 @@ +from pathlib import Path +import math +import re + +import ngsolve as ngs +import pytest + +from opencmp.config_functions import ConfigParser +from opencmp.config_functions.boundary_conditions import BCFunctions +from opencmp.models.tfm import TwoFluidModel +import opencmp.models.tfm as tfm_module + + +def _tfm_from_config(tmp_path: Path, tfm: dict[str, str], other=None) -> TwoFluidModel: + config_path = tmp_path / 'config' + config_path.write_text('') + config = ConfigParser(str(config_path)) + config['TFM'] = tfm + config['OTHER'] = other or {} + model = TwoFluidModel.__new__(TwoFluidModel) + model.config = config + model._pre_init() + return model + + +def test_tfm_ime_enables_requested_mechanisms(tmp_path: Path) -> None: + model = _tfm_from_config(tmp_path, { + 'canonical_form': 'Ishii', + 'IME': 'drag, virtual_mass, dispersion, lift', + 'drag_model': 'Tomiyama', + 'lift_model': 'LegendreMagnaudet', + 'lift_wall_deactivation': 'True', + 'lift_wall_boundaries': 'wall|bottom', + }) + + assert model.canonical_form == 'Ishii' + assert model.drag_switch + assert model.VM_switch + assert model.Disp_switch + assert model.Lift_switch + assert model.lift_wall_deactivation + assert model.lift_wall_boundaries == 'wall|bottom' + + +@pytest.mark.parametrize(('tfm', 'message'), [ + ({'IME': 'drag, buoyancy'}, 'Unknown [TFM] IME mechanism'), + ({'IME': 'dispersion'}, "'dispersion' requires 'drag'"), + ({'canonical_form': 'invalid'}, 'canonical_form'), + ({'drag_model': 'invalid'}, 'drag_model'), + ({'lift_model': 'invalid'}, 'lift_model'), + ({'unexpected': 'value'}, 'Unknown [TFM] option'), + ({'IME': 'drag', 'lift_wall_deactivation': 'True'}, + 'lift_wall_deactivation requires lift'), +]) +def test_tfm_configuration_rejects_invalid_values( + tmp_path: Path, tfm: dict[str, str], message: str) -> None: + with pytest.raises(ValueError, match=re.escape(message)): + _tfm_from_config(tmp_path, tfm) + + +def test_slip_accepts_marker_only_syntax(tmp_path: Path) -> None: + bc_path = tmp_path / 'bc_config' + bc_path.write_text('[SLIP]\nu_d = wall|bottom\n') + + functions = BCFunctions(str(bc_path), str(tmp_path), None, + ['dirichlet', 'neumann', 'slip']) + boundary_conditions, dirichlet_names = functions.set_boundary_conditions( + ['dirichlet', 'neumann', 'slip']) + + assert boundary_conditions['slip']['u_d'] == {'wall': [], 'bottom': []} + assert 'u_d' not in dirichlet_names + + +def test_hdiv_space_combines_dirichlet_and_slip_markers(monkeypatch) -> None: + model = TwoFluidModel.__new__(TwoFluidModel) + model.element = {'u_c': 'HDiv', 'u_d': 'HDiv', 'p': 'L2', 'alpha_c': 'L2'} + model.interp_ord = 2 + model.mesh = object() + model.DG = True + model.BC = { + 'dirichlet': {'u_c': {'inlet': []}, 'u_d': {'outlet': []}}, + 'slip': {'u_c': {}, 'u_d': {'wall': [], 'bottom': []}}, + } + + hdiv_calls = [] + + def fake_hdiv(mesh, **kwargs): + hdiv_calls.append(kwargs) + return object() + + monkeypatch.setattr(tfm_module.ngs, 'HDiv', fake_hdiv) + monkeypatch.setattr(tfm_module.ngs, 'L2', lambda mesh, **kwargs: object()) + monkeypatch.setattr(tfm_module, 'FESpace', lambda spaces, **kwargs: spaces) + + model._construct_fes() + + assert hdiv_calls[0]['dirichlet'] == 'inlet' + assert hdiv_calls[1]['dirichlet'] == 'outlet|wall|bottom' + + +def test_dirichlet_and_slip_cannot_overlap() -> None: + model = TwoFluidModel.__new__(TwoFluidModel) + model.BC = { + 'dirichlet': {'u_d': {'wall': []}}, + 'slip': {'u_d': {'wall': []}}, + } + + with pytest.raises(ValueError, match='both DIRICHLET and SLIP'): + model._velocity_space_boundaries('u_d') + + +def test_hdiv_slip_constrains_normal_but_preserves_tangential_velocity() -> None: + mesh = ngs.Mesh('pytests/mesh_files/unit_square_coarse.vol') + for _ in range(2): + mesh.Refine() + + # In HDiv, marking the bottom as Dirichlet constrains only u.n. Project a + # horizontal field with a nonzero tangential component toward that wall. + fes = ngs.HDiv(mesh, order=2, dirichlet='bottom') + u, v = fes.TnT() + a = ngs.BilinearForm(fes) + a += (u * v + 1e-3 * ngs.div(u) * ngs.div(v)) * ngs.dx + L = ngs.LinearForm(fes) + target = ngs.CoefficientFunction((1.0, 0.0)) + L += target * v * ngs.dx + a.Assemble() + L.Assemble() + + velocity = ngs.GridFunction(fes) + velocity.vec.data = a.mat.Inverse( + freedofs=fes.FreeDofs(), inverse='umfpack') * L.vec + + normal = ngs.specialcf.normal(mesh.dim) + normal_l2_squared = ngs.Integrate( + (velocity * normal)**2, mesh, ngs.BND, + definedon=mesh.Boundaries('bottom')) + near_wall_tangential_energy = ngs.Integrate( + ngs.IfPos(0.125 - ngs.y, 1.0, 0.0) * velocity[0]**2, mesh) + projection_error = ngs.Integrate((velocity - target)**2, mesh) + + print('TFM SLIP bottom normal L2^2: {:.6e}'.format(normal_l2_squared)) + print('TFM SLIP near-wall tangential energy: {:.6e}'.format( + near_wall_tangential_energy)) + assert normal_l2_squared == pytest.approx(0.0, abs=1e-14) + assert near_wall_tangential_energy > 0.1 + assert math.sqrt(projection_error) < 1e-12 + + +def test_ime_closures_are_finite_and_zero_without_a_driver() -> None: + config = ConfigParser('pytests/full_system/tfm/config') + config.set('TFM', 'IME', 'drag, dispersion, virtual_mass, lift') + config.set('TFM', 'lift_wall_deactivation', 'False') + model = TwoFluidModel(config, [ngs.Parameter(0.0)]) + + velocity = ngs.CoefficientFunction((1.0, 0.0)) + for alpha_c in (0.1, 0.5, 0.9): + model.UIter.components[model.model_components['u_c']].Set(velocity) + model.UIter.components[model.model_components['u_d']].Set(velocity) + model.UIter.components[model.model_components['alpha_c']].Set(alpha_c) + + wc = model.UIter.components[model.model_components['u_c']] + wd = model.UIter.components[model.model_components['u_d']] + ac = model.UIter.components[model.model_components['alpha_c']] + ad = 1 - ac + cd = model._get_drag_coeff(wd, wc, ad, 0) + cl = model._get_lift_coeff(wd, wc, 0) + + # With no slip, drag and dispersion have zero magnitude; lift also has + # zero slip and zero carrier vorticity. Virtual mass is covered by its + # MMS convergence and action-reaction regression tests. + drag = cd * ngs.Norm(wd - wc) * (wd - wc) + dispersion = cd * ngs.Norm(wd - wc)**2 * ngs.grad(ac) + curl_wc = ngs.grad(wc)[1] - ngs.grad(wc)[2] + lift = cl * curl_wc * ngs.CoefficientFunction( + (wd[1] - wc[1], -(wd[0] - wc[0]))) + + for closure in (drag, dispersion, lift): + magnitude_squared = ngs.Integrate(closure * closure, model.mesh) + assert math.isfinite(magnitude_squared) + assert magnitude_squared == pytest.approx(0.0, abs=1e-24) From 8255de19f3fabb57fc8560085a1a36c4d2c2ca70 Mon Sep 17 00:00:00 2001 From: arshiiyyaa Date: Fri, 14 Aug 2026 15:28:04 -0400 Subject: [PATCH 5/8] route nonlinear solve failures through the adaptive reject path A diverged nonlinear solve leaves an error estimate that is meaningless or NaN, and NaN compared as an acceptable error. --- opencmp/models/tfm.py | 11 ++++++----- 1 file changed, 6 insertions(+), 5 deletions(-) diff --git a/opencmp/models/tfm.py b/opencmp/models/tfm.py index 9e1c1de..357d5cd 100644 --- a/opencmp/models/tfm.py +++ b/opencmp/models/tfm.py @@ -836,7 +836,7 @@ def solve_single_step(self, L_lst: List[LinearForm], precond_lst: List[Preconditioner], gfu: GridFunction, - time_step: int = 0) -> None: + time_step: int = 0) -> bool: # Cold-start guard: the adaptive solvers hand us fresh GridFunctions # (gfu_long/gfu_short) on the first step with only the velocity Dirichlet # BCs applied -- alpha_c is still zero. A zero alpha_c is a degenerate @@ -898,10 +898,11 @@ def solve_single_step(self, if converged: logging.info(f'TFM Picard converged in {_it + 1} iteration(s).') - break - else: - logging.warning('TFM Picard did NOT converge within ' - f'{self.nonlinear_max_iters} iterations.') + return True + + logging.warning('TFM Picard did NOT converge within ' + f'{self.nonlinear_max_iters} iterations.') + return False def update_linearization(self, gfu: GridFunction) -> None: self.UIter.vec.data = gfu.vec From e3054e028bc23cf4b1506d867a2734c4a1fc99ff Mon Sep 17 00:00:00 2001 From: arshiiyyaa Date: Sat, 15 Aug 2026 11:34:37 -0400 Subject: [PATCH 6/8] rework TFM configuration: IME closure map and named boundary conditions --- examples/TFM/bc_dir/bc_config | 15 +- examples/TFM/config | 42 +++-- examples/TFM/model_dir/model_config | 4 +- .../config_functions/boundary_conditions.py | 7 +- opencmp/models/tfm.py | 168 +++++++++++------- pytests/full_system/tfm/bc_dir/bc_config | 2 - pytests/full_system/tfm/config | 2 +- pytests/full_system/tfm/import_functions.py | 9 +- .../full_system/tfm/test_tfm_conservation.py | 12 +- .../full_system/tfm/test_tfm_convergence.py | 8 +- pytests/models/test_tfm.py | 31 ++-- 11 files changed, 173 insertions(+), 127 deletions(-) diff --git a/examples/TFM/bc_dir/bc_config b/examples/TFM/bc_dir/bc_config index 4242882..921516e 100644 --- a/examples/TFM/bc_dir/bc_config +++ b/examples/TFM/bc_dir/bc_config @@ -1,18 +1,13 @@ [DIRICHLET] -# No-slip continuous phase on the column sides and base. u_c = wall -> [0.0, 0.0] bottom -> [0.0, 0.0] [SLIP] -# Impermeable dispersed phase with zero tangential traction. u_d = wall|bottom -[NEUMANN] -# Free outlet for both phase momentum. -u_c = outlet -> [0.0, 0.0] -u_d = outlet -> [0.0, 0.0] +[ZERO_STRESS] +u_c = outlet +u_d = outlet -# zero alpha_c back-flux -alpha_c = outlet -> 0.0 - wall -> 0.0 - bottom -> 0.0 +[ZERO_BACKFLOW] +alpha_c = outlet|wall|bottom diff --git a/examples/TFM/config b/examples/TFM/config index 19d123c..fc351ec 100644 --- a/examples/TFM/config +++ b/examples/TFM/config @@ -6,7 +6,7 @@ elements = u_c -> HDiv u_d -> HDiv p -> L2 alpha_c -> L2 -interpolant_order = 2 +interpolant_order = 3 [DG] DG = True @@ -17,29 +17,27 @@ linear_solver = direct preconditioner = default linearization_method = Picard nonlinear_solver = default -nonlinear_tolerance = relative -> 1e-4 - absolute -> 1e-4 +nonlinear_tolerance = relative -> 1e-5 + absolute -> 1e-5 nonlinear_max_iterations = 10 relaxation_factors = 1.0, 1.0, 1.0, 1.0 [TRANSIENT] -transient = True -scheme = adaptive three step -time_range = 0.0, 3 -dt = 1e-4 -dt_tolerance = relative -> 0.0 - absolute -> 1e-4 -dt_range = 1e-8, 1e-2 -maximum_rejected_solves = 10 +transient = True +scheme = implicit euler +time_range = 0.0, 5.0 +dt = 2e-3 [VISUALIZATION] -save_to_file = True -save_type = .vtu +save_to_file = True +save_type = .sol +#save_vtu_each_timestep = False save_frequency = 5, numit [OTHER] -#resume_from_previous = True -#restart_from = LATEST +#mean_zero_pressure = True +resume_from_previous = True +restart_from = LATEST num_threads = 1 model = TwoFluidModel run_dir = . @@ -47,9 +45,15 @@ slope_limiter = True diffusion_switch = True [TFM] -canonical_form = Brennen -IME = drag, virtual_mass, dispersion, lift -drag_model = Tomiyama -lift_model = Tomiyama +canonical_form = C-TFM +IME = drag -> Tomiyama + lift -> Tomiyama + virtual_mass -> ConstantCoefficient + laminar_dispersion -> ConstantCoefficient lift_wall_deactivation = True lift_wall_boundaries = wall|bottom + + + + + diff --git a/examples/TFM/model_dir/model_config b/examples/TFM/model_dir/model_config index ffe32a3..cd05652 100644 --- a/examples/TFM/model_dir/model_config +++ b/examples/TFM/model_dir/model_config @@ -16,9 +16,9 @@ dp = all -> 3e-3 # Interphase force constants c_vm = all -> 0.5 cdis = all -> 4.545 -d_artificial = all -> 1e-3 +d_artificial = all -> 1e-5 [INJECTION] region = injection mass_flow_rate = 0.3 -velocity = 0.0 +velocity = 0.2 diff --git a/opencmp/config_functions/boundary_conditions.py b/opencmp/config_functions/boundary_conditions.py index 079afab..3c886f5 100644 --- a/opencmp/config_functions/boundary_conditions.py +++ b/opencmp/config_functions/boundary_conditions.py @@ -33,9 +33,10 @@ def __init__(self, config_rel_path: str, import_dir: str, mesh: Mesh, bc_types: super().__init__(config_rel_path, import_dir, mesh, t_param) # Load the BC dict from the BC configfile. - # SLIP is marker-only (for example ``u_d = wall|bottom``), whereas the - # general three-level parser expects ``marker -> value`` entries. - marker_only_types = {'SLIP'} & set(bc_types) + # These types are fully determined by their name, so they are marker-only + # (``u_d = wall|bottom``) instead of the parser's ``marker -> value``. + marker_only_types = ({'SLIP', 'ZERO_STRESS', 'ZERO_GRADIENT', 'ZERO_BACKFLOW'} + & set(bc_types)) self.bc_dict, self.bc_re_parse_dict = self.config.get_three_level_dict(self.import_dir, None, self.t_param, new_variables, white_list=[bc_type for bc_type in bc_types diff --git a/opencmp/models/tfm.py b/opencmp/models/tfm.py index 357d5cd..1cd6204 100644 --- a/opencmp/models/tfm.py +++ b/opencmp/models/tfm.py @@ -41,6 +41,12 @@ class TwoFluidModel(Model): subclass (cf. INS / KEpsilonINS). """ + # Interphase momentum exchange mechanisms and the closure models available to each. + IME_MODELS = {'drag': ('Tomiyama', 'SchillerNaumann'), + 'lift': ('Tomiyama', 'LegendreMagnaudet'), + 'virtual_mass': ('ConstantCoefficient',), + 'laminar_dispersion': ('ConstantCoefficient',)} + # ------------------------------------------------------------------ # Abstract-method overrides — bookkeeping # ------------------------------------------------------------------ @@ -62,7 +68,7 @@ def _define_num_weak_forms(self) -> int: return 1 def _define_bc_types(self) -> List[str]: - return ['dirichlet', 'neumann', 'slip'] + return ['dirichlet', 'zero_stress', 'zero_gradient', 'zero_backflow', 'slip'] # ------------------------------------------------------------------ # Phase 1 — lifecycle hooks @@ -83,39 +89,48 @@ def _other_option(self, key: str, val_type, default): return default return self.config.get_item(['OTHER', key], val_type, quiet=True) + def _parse_ime(self) -> Dict[str, str]: + """Read [TFM] IME, which maps each active mechanism to its closure model.""" + if not self.config.has_option('TFM', 'ime'): + return {'drag': 'Tomiyama'} + if not self.config['TFM']['ime'].strip(): + return {} + + ime = {key.lower(): value for key, value in + self.config.get_dict(['TFM', 'ime'], '', None, all_str=True).items()} + + unknown_ime = set(ime) - set(self.IME_MODELS) + if unknown_ime: + raise ValueError('Unknown [TFM] IME mechanism(s): {}.'.format(', '.join(sorted(unknown_ime)))) + for mechanism, model in ime.items(): + if model not in self.IME_MODELS[mechanism]: + raise ValueError("[TFM] IME '{}' must use one of: {}.".format( + mechanism, ', '.join(self.IME_MODELS[mechanism]))) + if 'laminar_dispersion' in ime and 'drag' not in ime: + raise ValueError("[TFM] IME 'laminar_dispersion' requires 'drag'.") + + return ime + def _pre_init(self) -> None: - allowed_keys = {'canonical_form', 'ime', 'drag_model', 'lift_model', - 'lift_wall_deactivation', 'lift_wall_boundaries'} + allowed_keys = {'canonical_form', 'ime', 'lift_wall_deactivation', 'lift_wall_boundaries'} unknown_keys = set(self.config['TFM']) - allowed_keys if self.config.has_section('TFM') else set() if unknown_keys: raise ValueError('Unknown [TFM] option(s): {}.'.format(', '.join(sorted(unknown_keys)))) - self.canonical_form = self._tfm_option('canonical_form', str, 'Brennen') - if self.canonical_form not in ('Brennen', 'Ishii'): - raise ValueError("[TFM] canonical_form must be 'Brennen' or 'Ishii'.") + self.canonical_form = self._tfm_option('canonical_form', str, 'B-TFM') + if self.canonical_form not in ('B-TFM', 'C-TFM'): + raise ValueError("[TFM] canonical_form must be 'B-TFM' or 'C-TFM'.") self.slope_limiter = self._other_option('slope_limiter', bool, True) - ime_items = (self.config.get_list(['TFM', 'ime'], str, quiet=True) - if self.config.has_option('TFM', 'ime') else ['drag']) - ime = {item.strip().lower() for item in ime_items if item.strip()} - allowed_ime = {'drag', 'virtual_mass', 'dispersion', 'lift'} - unknown_ime = ime - allowed_ime - if unknown_ime: - raise ValueError('Unknown [TFM] IME mechanism(s): {}.'.format(', '.join(sorted(unknown_ime)))) - if 'dispersion' in ime and 'drag' not in ime: - raise ValueError("[TFM] IME 'dispersion' requires 'drag'.") + ime = self._parse_ime() self.drag_switch = 'drag' in ime self.VM_switch = 'virtual_mass' in ime - self.Disp_switch = 'dispersion' in ime + self.Disp_switch = 'laminar_dispersion' in ime self.Lift_switch = 'lift' in ime - self.drag_model = self._tfm_option('drag_model', str, 'Tomiyama') - self.lift_model = self._tfm_option('lift_model', str, 'Tomiyama') - if self.drag_model not in ('Tomiyama', 'SchillerNaumann'): - raise ValueError("[TFM] drag_model must be 'Tomiyama' or 'SchillerNaumann'.") - if self.lift_model not in ('Tomiyama', 'LegendreMagnaudet'): - raise ValueError("[TFM] lift_model must be 'Tomiyama' or 'LegendreMagnaudet'.") + self.drag_model = ime.get('drag', 'Tomiyama') + self.lift_model = ime.get('lift', 'Tomiyama') # Artificial diffusion on the alpha_c transport. self.diffusion_switch = self._other_option('diffusion_switch', bool, False) @@ -211,6 +226,7 @@ def _set_model_parameters(self) -> None: self.gravity = ngs.CoefficientFunction((0.0, -9.81, 0.0)) def _post_init(self) -> None: + self._validate_bc_variables() self.nonlinear = True self.linearize = 'Picard' @@ -260,9 +276,28 @@ def _post_init(self) -> None: # Internal helpers — closure coefficients # ------------------------------------------------------------------ - def _neumann_regex(self, varname: str) -> str: - keys = list(self.BC.get('neumann', {}).get(varname, {}).keys()) - return '|'.join(keys) + def _bc_regex(self, bc_type: str, varname: str) -> str: + return '|'.join(self.BC.get(bc_type, {}).get(varname, {}).keys()) + + # Each outflow condition applies to exactly one kind of variable. + BC_VARIABLES = {'zero_stress': ('u_c', 'u_d'), + 'zero_gradient': ('alpha_c',), + 'zero_backflow': ('alpha_c',)} + + def _validate_bc_variables(self) -> None: + for bc_type, allowed in self.BC_VARIABLES.items(): + for var in self.BC.get(bc_type, {}): + if var not in allowed: + raise ValueError( + "[{}] is only meaningful for {}, not '{}'." + .format(bc_type.upper(), ' and '.join(allowed), var)) + + overlap = set(self.BC.get('zero_gradient', {}).get('alpha_c', {})) \ + & set(self.BC.get('zero_backflow', {}).get('alpha_c', {})) + if overlap: + raise ValueError( + "Boundary marker(s) {} cannot be both ZERO_GRADIENT and ZERO_BACKFLOW " + "for 'alpha_c'.".format(', '.join(sorted(overlap)))) def time_derivative_terms(self, gfu_lst: List[List[GridFunction]], scheme: str, step: int = 1): @@ -336,7 +371,8 @@ def _get_lift_coeff(self, wd, wc, ts: int) -> ngs.CoefficientFunction: Re = ngs.Norm(wd - wc) * dp / nu_c Sr = dp**2 / (Re * nu_c + 1e-30) * ngs.Norm(ngs.grad(wc)) if self.lift_model == 'LegendreMagnaudet': - ClLow = (6*2.255)**2 * Sr**2 / (ngs.pi**4 * Re * (Sr + 0.2*Re)**3) + # Guarded denominator: at zero slip Re and Sr both vanish, giving 0/0. + ClLow = (6*2.255)**2 * Sr**2 / (ngs.pi**4 * Re * (Sr + 0.2*Re)**3 + 1e-10) ClHigh = (0.5 * (Re + 16) / (Re + 29))**2 Cl = (ClLow + ClHigh)**0.5 else: # Tomiyama @@ -370,8 +406,8 @@ def _NF_UDS_mass(self, u, w, facet: str = 'Interior', bl: bool = True): sign = 1.0 if bl else -1.0 return 0.5 * u * (w * n) + sign * 0.5 * u * ngs.Norm(w * n) if facet == 'Neumann': - #return u * Max(w * n, ngs.CoefficientFunction(0.0)) - return u * w * n + return u * Max(w * n, ngs.CoefficientFunction(0.0)) + #return u * w * n def _NF_UDS_mom(self, u, w, facet: str = 'Interior', bl: bool = True): """UDS numerical flux for momentum (vector) advection.""" @@ -420,12 +456,14 @@ def construct_bilinear_time_ODE(self, dp = self.dp[ts] # BC regex strings - ac_d_reg = self.dirichlet_names.get('alpha_c', '') - ac_n_reg = self._neumann_regex('alpha_c') - uc_d_reg = self.dirichlet_names.get('u_c', '') - uc_n_reg = self._neumann_regex('u_c') - ud_d_reg = self.dirichlet_names.get('u_d', '') - ud_n_reg = self._neumann_regex('u_d') + ac_d_reg = self.dirichlet_names.get('alpha_c', '') + ac_zg_reg = self._bc_regex('zero_gradient', 'alpha_c') + ac_zb_reg = self._bc_regex('zero_backflow', 'alpha_c') + ac_n_reg = '|'.join(reg for reg in (ac_zg_reg, ac_zb_reg) if reg) + uc_d_reg = self.dirichlet_names.get('u_c', '') + uc_n_reg = self._bc_regex('zero_stress', 'u_c') + ud_d_reg = self.dirichlet_names.get('u_d', '') + ud_n_reg = self._bc_regex('zero_stress', 'u_d') a = ngs.CoefficientFunction(0.0) * ngs.dx @@ -439,8 +477,11 @@ def construct_bilinear_time_ODE(self, a += (dt * jump(r) * self._NF_UDS_mass(alpha_c, wd)) * ngs.dx(skeleton=True) if ac_d_reg: a += (dt * r * self._NF_UDS_mass(alpha_c, wd, 'Dirichlet', True)) * self._ds(ac_d_reg) - if ac_n_reg: - a += (dt * r * alpha_c * Max(wd * n, ngs.CoefficientFunction(0.0))) * self._ds(ac_n_reg) + if ac_zg_reg: + a += (dt * r * alpha_c * (wd * n)) * self._ds(ac_zg_reg) + if ac_zb_reg: + # Outflow only; the inflow half is prescribed in construct_linear. + a += (dt * r * alpha_c * Max(wd * n, ngs.CoefficientFunction(0.0))) * self._ds(ac_zb_reg) # Artificial diffusion (SIPG) on alpha_c -- stabilises sharp fronts. if self.diffusion_switch: @@ -497,9 +538,9 @@ def construct_bilinear_time_ODE(self, self._NF_UDS_mom(u_tr, w_pi, 'Neumann', True))) \ * self._ds(n_reg) - # Viscous: Brennen (phase c only) or Ishii (both phases) - do_viscous = (self.canonical_form == 'Brennen' and phase == 'c') or \ - (self.canonical_form == 'Ishii') + # Viscous: B-TFM (phase c only) or C-TFM (both phases) + do_viscous = (self.canonical_form == 'B-TFM' and phase == 'c') or \ + (self.canonical_form == 'C-TFM') if do_viscous: nu = ngs.CoefficientFunction(nu_lam) @@ -508,12 +549,12 @@ def construct_bilinear_time_ODE(self, # -grad(A_c) with the actual A_c iterate (also tracks Picard updates). grad_A = ngs.grad(Ac) if phase == 'c' else -ngs.grad(Ac) - if self.canonical_form == 'Brennen': + if self.canonical_form == 'B-TFM': factor = nu / A_pi factor_avg = avg(nu / A_pi) a += (dt * -nu * ngs.InnerProduct( tau, ngs.OuterProduct(v_ts, grad_A / (A_pi**2)))) * ngs.dx - else: # Ishii + else: # C-TFM factor = ngs.CoefficientFunction(nu) factor_avg = avg(ngs.CoefficientFunction(nu)) if phase == 'c': @@ -680,12 +721,14 @@ def construct_linear(self, dp = self.dp[ts] # BC regex - ac_d_reg = self.dirichlet_names.get('alpha_c', '') - ac_n_reg = self._neumann_regex('alpha_c') - uc_d_reg = self.dirichlet_names.get('u_c', '') - uc_n_reg = self._neumann_regex('u_c') - ud_d_reg = self.dirichlet_names.get('u_d', '') - ud_n_reg = self._neumann_regex('u_d') + ac_d_reg = self.dirichlet_names.get('alpha_c', '') + ac_zg_reg = self._bc_regex('zero_gradient', 'alpha_c') + ac_zb_reg = self._bc_regex('zero_backflow', 'alpha_c') + ac_n_reg = '|'.join(reg for reg in (ac_zg_reg, ac_zb_reg) if reg) + uc_d_reg = self.dirichlet_names.get('u_c', '') + uc_n_reg = self._bc_regex('zero_stress', 'u_c') + ud_d_reg = self.dirichlet_names.get('u_d', '') + ud_n_reg = self._bc_regex('zero_stress', 'u_d') L = ngs.CoefficientFunction(0.0) * ngs.dx @@ -709,9 +752,9 @@ def construct_linear(self, for marker, val_list in self.BC.get('dirichlet', {}).get('alpha_c', {}).items(): val = val_list[ts] L += (dt * -r * self._NF_UDS_mass(val, wd, 'Dirichlet', False)) * self._ds(marker) - for marker, val_list in self.BC.get('neumann', {}).get('alpha_c', {}).items(): - val = val_list[ts] - L += (dt * -r * val) * self._ds(marker) + if ac_zb_reg: + # Backflow enters as pure continuous phase (alpha_c = 1). + L += (dt * -r * Min(wd * n, ngs.CoefficientFunction(0.0))) * self._ds(ac_zb_reg) # Artificial diffusion — Dirichlet boundary (linear part). if self.diffusion_switch: art = self.D_art[ts] @@ -723,19 +766,19 @@ def construct_linear(self, # ============================================================ # 2 & 3. Phase momentum — linear terms (gravity + BCs) # ============================================================ - for (v_ts, w_pi, A_pi, rho, nu_lam, d_var, n_var, phase) in [ - (vc, wc, Ac, rho_c, nu_c, 'u_c', 'u_c', 'c'), - (vd, wd, Ad, rho_d, nu_d, 'u_d', 'u_d', 'd'), + for (v_ts, w_pi, A_pi, rho, nu_lam, d_var, phase) in [ + (vc, wc, Ac, rho_c, nu_c, 'u_c', 'c'), + (vd, wd, Ad, rho_d, nu_d, 'u_d', 'd'), ]: # Body force L += (dt * self.gravity * v_ts) * ngs.dx # Viscous parameters (needed for Nitsche BC terms) - do_viscous = (self.canonical_form == 'Brennen' and phase == 'c') or \ - (self.canonical_form == 'Ishii') + do_viscous = (self.canonical_form == 'B-TFM' and phase == 'c') or \ + (self.canonical_form == 'C-TFM') if do_viscous: nu_eff = ngs.CoefficientFunction(nu_lam) - factor = nu_eff / A_pi if self.canonical_form == 'Brennen' else ngs.CoefficientFunction(nu_eff) + factor = nu_eff / A_pi if self.canonical_form == 'B-TFM' else ngs.CoefficientFunction(nu_eff) # Convective Dirichlet BC (linear part: outflow from prescribed BC) for marker, u_bc_list in self.BC.get('dirichlet', {}).get(d_var, {}).items(): @@ -753,10 +796,7 @@ def construct_linear(self, L += (dt * -factor * ngs.InnerProduct( ngs.OuterProduct(u_bc, n), ngs.grad(v_ts).trans)) * self._ds(marker) - # Neumann (stress) BC - for marker, val_list in self.BC.get('neumann', {}).get(n_var, {}).items(): - val = val_list[ts] - L += (dt * -val * v_ts) * self._ds(marker) + # ZERO_STRESS contributes no data by definition. # ============================================================ # 4. Virtual mass — l_dt (NOT dt-scaled, uses UOld) + l (dt-scaled) @@ -783,14 +823,6 @@ def construct_linear(self, L += (dt * VM_c * ngs.InnerProduct(ngs.OuterProduct(vc, n), self._NF_UDS_mom(u_bc, wc, 'Dirichlet', False))) \ * self._ds(marker) - for marker, val_list in self.BC.get('neumann', {}).get('u_d', {}).items(): - val = val_list[ts] - L += (dt * -VM_d * val * vd) * self._ds(marker) - L += (dt * -VM_c * val * vc) * self._ds(marker) - for marker, val_list in self.BC.get('neumann', {}).get('u_c', {}).items(): - val = val_list[ts] - L += (dt * VM_d * val * vd) * self._ds(marker) - L += (dt * VM_c * val * vc) * self._ds(marker) # ============================================================ # 5. Laminar dispersion (linear source term) diff --git a/pytests/full_system/tfm/bc_dir/bc_config b/pytests/full_system/tfm/bc_dir/bc_config index d92f2b5..c2b1104 100644 --- a/pytests/full_system/tfm/bc_dir/bc_config +++ b/pytests/full_system/tfm/bc_dir/bc_config @@ -12,6 +12,4 @@ alpha_c = bottom -> 0.9+0.002*sin(pi*x+pi/4)*cos(pi*y) top -> 0.9+0.002*sin(pi*x+pi/4)*cos(pi*y) left -> 0.9+0.002*sin(pi*x+pi/4)*cos(pi*y) -[NEUMANN] - [SLIP] diff --git a/pytests/full_system/tfm/config b/pytests/full_system/tfm/config index 8d50760..25fedd1 100644 --- a/pytests/full_system/tfm/config +++ b/pytests/full_system/tfm/config @@ -42,6 +42,6 @@ diffusion_switch = False mean_zero_pressure = True [TFM] -canonical_form = Ishii +canonical_form = C-TFM IME = lift_wall_deactivation = False diff --git a/pytests/full_system/tfm/import_functions.py b/pytests/full_system/tfm/import_functions.py index f9d607c..5581458 100644 --- a/pytests/full_system/tfm/import_functions.py +++ b/pytests/full_system/tfm/import_functions.py @@ -1,5 +1,6 @@ import ngsolve as ngs from opencmp.helpers.math import Max, Min, tanh +from opencmp.models.tfm import TwoFluidModel ACTIVE_IME = frozenset() @@ -10,6 +11,12 @@ def set_active_ime(ime): ACTIVE_IME = frozenset(ime) +def ime_config(ime): + """Build a [TFM] IME value from mechanism names, using each one's first closure model.""" + return '\n'.join('{} -> {}'.format(mechanism, TwoFluidModel.IME_MODELS[mechanism][0]) + for mechanism in ime) + + def exact_solution(t=None): k = ngs.pi uc = ngs.CoefficientFunction(( @@ -133,7 +140,7 @@ def _momentum_source(phase): coefficient = (rho_c / rho_d if phase == 'd' else -ad / alpha_c) source += cl * coefficient * curl_uc * lift_vector - if 'dispersion' in ACTIVE_IME: + if 'laminar_dispersion' in ACTIVE_IME: hindered = 1 - 1.166 * ad + 0.5 * ad**2 coefficient = (0.75 * cd * cdis * rho_c / rho_d * hindered * relative_speed**2 if phase == 'd' diff --git a/pytests/full_system/tfm/test_tfm_conservation.py b/pytests/full_system/tfm/test_tfm_conservation.py index 7d3e9fc..ea96ae4 100644 --- a/pytests/full_system/tfm/test_tfm_conservation.py +++ b/pytests/full_system/tfm/test_tfm_conservation.py @@ -9,7 +9,7 @@ from opencmp.models import get_model_class from opencmp.solvers import get_solver_class from import_functions import (_div_tensor, _div_vector, _grad_scalar, - exact_solution, set_active_ime) + exact_solution, ime_config, set_active_ime) def _integrate_vector(field, mesh): @@ -38,7 +38,7 @@ def _physical_ime_forces(mechanism): if mechanism == 'drag': per_mass_d = 0.75 * cd * rho_c / (rho_d * dp) * speed * relative per_mass_c = -0.75 * cd * ad / (ac * dp) * speed * relative - elif mechanism == 'dispersion': + elif mechanism == 'laminar_dispersion': hindered = 1 - 1.166 * ad + 0.5 * ad**2 per_mass_d = (0.75 * cd * cdis * rho_c / rho_d * hindered * speed**2 * _grad_scalar(ac)) @@ -95,7 +95,7 @@ def test_global_mass_conservation(capsys): def test_discrete_all_ime_global_mass_conservation(tmp_path: Path): - ime = ('drag', 'dispersion', 'virtual_mass', 'lift') + ime = ('drag', 'laminar_dispersion', 'virtual_mass', 'lift') set_active_ime(ime) mesh = ngs.Mesh('pytests/mesh_files/unit_square_coarse.vol') for _ in range(2): @@ -105,7 +105,7 @@ def test_discrete_all_ime_global_mass_conservation(tmp_path: Path): config = ConfigParser('pytests/full_system/tfm/config') config.set('MESH', 'filename', str(mesh_file)) - config.set('TFM', 'IME', ', '.join(ime)) + config.set('TFM', 'IME', ime_config(ime)) config.set('TFM', 'lift_wall_deactivation', 'False') solver = get_solver_class(config)(get_model_class('TwoFluidModel', False), config) @@ -166,7 +166,7 @@ def test_discrete_all_ime_global_mass_conservation(tmp_path: Path): @pytest.mark.parametrize('mechanism', - ['drag', 'dispersion', 'virtual_mass', 'lift']) + ['drag', 'laminar_dispersion', 'virtual_mass', 'lift']) def test_ime_action_reaction_conservation(mechanism): mesh = ngs.Mesh('pytests/mesh_files/unit_square_coarse.vol') force_d, force_c = _physical_ime_forces(mechanism) @@ -179,7 +179,7 @@ def test_ime_action_reaction_conservation(mechanism): def test_combined_ime_action_reaction_conservation(): mesh = ngs.Mesh('pytests/mesh_files/unit_square_coarse.vol') total = ngs.CoefficientFunction((0.0, 0.0)) - for mechanism in ('drag', 'dispersion', 'virtual_mass', 'lift'): + for mechanism in ('drag', 'laminar_dispersion', 'virtual_mass', 'lift'): force_d, force_c = _physical_ime_forces(mechanism) total += force_d + force_c residual = _integrate_vector(total, mesh) diff --git a/pytests/full_system/tfm/test_tfm_convergence.py b/pytests/full_system/tfm/test_tfm_convergence.py index 14495ca..61fc22c 100644 --- a/pytests/full_system/tfm/test_tfm_convergence.py +++ b/pytests/full_system/tfm/test_tfm_convergence.py @@ -7,7 +7,7 @@ from opencmp.config_functions import ConfigParser from opencmp.models import get_model_class from opencmp.solvers import get_solver_class -from import_functions import exact_solution, set_active_ime +from import_functions import exact_solution, ime_config, set_active_ime def _l2_errors(solution, model, time): @@ -50,10 +50,10 @@ def _solve_about_exact_picard_state(solver): @pytest.mark.parametrize('ime', [ (), ('drag',), - ('drag', 'dispersion'), + ('drag', 'laminar_dispersion'), ('lift',), ('virtual_mass',), - ('drag', 'dispersion', 'virtual_mass', 'lift'), + ('drag', 'laminar_dispersion', 'virtual_mass', 'lift'), ], ids=['no-ime', 'drag', 'drag-dispersion', 'lift', 'virtual-mass', 'all-ime']) def test_tfm_manufactured_solution_h_convergence(tmp_path: Path, ime) -> None: set_active_ime(ime) @@ -71,7 +71,7 @@ def test_tfm_manufactured_solution_h_convergence(tmp_path: Path, ime) -> None: config = ConfigParser('pytests/full_system/tfm/config') config.set('MESH', 'filename', str(mesh_file)) - config.set('TFM', 'IME', ', '.join(ime)) + config.set('TFM', 'IME', ime_config(ime)) config.set('TFM', 'lift_wall_deactivation', 'False') solver = get_solver_class(config)(get_model_class('TwoFluidModel', False), config) solver.gfu_0_list[0].vec.data = solver.model.IC.vec diff --git a/pytests/models/test_tfm.py b/pytests/models/test_tfm.py index 18a0062..5bf3d16 100644 --- a/pytests/models/test_tfm.py +++ b/pytests/models/test_tfm.py @@ -23,33 +23,42 @@ def _tfm_from_config(tmp_path: Path, tfm: dict[str, str], other=None) -> TwoFlui return model +_ALL_IME = ('drag -> Tomiyama\n' + 'lift -> LegendreMagnaudet\n' + 'virtual_mass -> ConstantCoefficient\n' + 'laminar_dispersion -> ConstantCoefficient') + + def test_tfm_ime_enables_requested_mechanisms(tmp_path: Path) -> None: model = _tfm_from_config(tmp_path, { - 'canonical_form': 'Ishii', - 'IME': 'drag, virtual_mass, dispersion, lift', - 'drag_model': 'Tomiyama', - 'lift_model': 'LegendreMagnaudet', + 'canonical_form': 'C-TFM', + 'IME': _ALL_IME, 'lift_wall_deactivation': 'True', 'lift_wall_boundaries': 'wall|bottom', }) - assert model.canonical_form == 'Ishii' + assert model.canonical_form == 'C-TFM' assert model.drag_switch assert model.VM_switch assert model.Disp_switch assert model.Lift_switch + assert model.drag_model == 'Tomiyama' + assert model.lift_model == 'LegendreMagnaudet' assert model.lift_wall_deactivation assert model.lift_wall_boundaries == 'wall|bottom' @pytest.mark.parametrize(('tfm', 'message'), [ - ({'IME': 'drag, buoyancy'}, 'Unknown [TFM] IME mechanism'), - ({'IME': 'dispersion'}, "'dispersion' requires 'drag'"), + ({'IME': 'drag -> Tomiyama\nbuoyancy -> Tomiyama'}, 'Unknown [TFM] IME mechanism'), + ({'IME': 'laminar_dispersion -> ConstantCoefficient'}, + "'laminar_dispersion' requires 'drag'"), ({'canonical_form': 'invalid'}, 'canonical_form'), - ({'drag_model': 'invalid'}, 'drag_model'), - ({'lift_model': 'invalid'}, 'lift_model'), + ({'IME': 'drag -> invalid'}, "IME 'drag' must use one of"), + ({'IME': 'lift -> invalid'}, "IME 'lift' must use one of"), + ({'IME': 'virtual_mass -> Tomiyama'}, "IME 'virtual_mass' must use one of"), + ({'drag_model': 'Tomiyama'}, 'Unknown [TFM] option'), ({'unexpected': 'value'}, 'Unknown [TFM] option'), - ({'IME': 'drag', 'lift_wall_deactivation': 'True'}, + ({'IME': 'drag -> Tomiyama', 'lift_wall_deactivation': 'True'}, 'lift_wall_deactivation requires lift'), ]) def test_tfm_configuration_rejects_invalid_values( @@ -148,7 +157,7 @@ def test_hdiv_slip_constrains_normal_but_preserves_tangential_velocity() -> None def test_ime_closures_are_finite_and_zero_without_a_driver() -> None: config = ConfigParser('pytests/full_system/tfm/config') - config.set('TFM', 'IME', 'drag, dispersion, virtual_mass, lift') + config.set('TFM', 'IME', _ALL_IME) config.set('TFM', 'lift_wall_deactivation', 'False') model = TwoFluidModel(config, [ngs.Parameter(0.0)]) From 10c280c593c6feb64ed5e5ef5f81090e1d53f093 Mon Sep 17 00:00:00 2001 From: arshiiyyaa Date: Sat, 15 Aug 2026 12:12:03 -0400 Subject: [PATCH 7/8] add tutorial for 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b/docs/tutorials/index.rst index 32200d0..d59d573 100644 --- a/docs/tutorials/index.rst +++ b/docs/tutorials/index.rst @@ -24,3 +24,4 @@ Before attempting the tutorials, make sure to review :ref:`getting_started` and, tutorial_9 tutorial_10 tutorial_11 + tutorial_12 diff --git a/docs/tutorials/tutorial_12.rst b/docs/tutorials/tutorial_12.rst new file mode 100644 index 0000000..53dd485 --- /dev/null +++ b/docs/tutorials/tutorial_12.rst @@ -0,0 +1,234 @@ +.. Contains the twelfth tutorial. +.. _tutorial_12: + +Tutorial 12 - Simulating a Two-Fluid-Model Bubble Column (2D) +================================================================ + +The files for this tutorial can be found in ``examples/TFM``. + +This tutorial demonstrates OpenCMP's transient ``TwoFluidModel`` using a +two-dimensional air--water bubble column. It is a reduced-dimensional version +of the three-dimensional configuration studied by Fazeli, Rhebergen, and +Abukhdeir [1]_. The equations, material properties, interphase-momentum +closures, and injection concept follow that work. + +Governing Equations +------------------- + +The continuous liquid phase and dispersed gas phase are treated as +interpenetrating continua. Their volume fractions satisfy +:math:`\alpha_c+\alpha_d=1`. Writing :math:`\alpha_d=1-\alpha_c`, the +constant-density phase mass balances can be expressed as + +.. math:: + \partial_t\alpha_c + +\nabla\cdot\bigl((\alpha_c-1)\boldsymbol{u}_d\bigr) + &= -S_d, \\ + \nabla\cdot\bigl(\alpha_c\boldsymbol{u}_c + +(1-\alpha_c)\boldsymbol{u}_d\bigr) + &= S_d. + +Here :math:`S_d` is nonzero only in the gas-injection region. The interphase +momentum exchange is equal and opposite between the phases. This example +includes drag, lift, virtual-mass, and laminar-dispersion contributions: + +.. math:: + \boldsymbol{\mathcal{M}}'_d + =\boldsymbol{F}_D+\boldsymbol{F}_L+\boldsymbol{F}_{VM} + +\boldsymbol{F}_{LD}, \qquad + \boldsymbol{\mathcal{M}}'_c=-\boldsymbol{\mathcal{M}}'_d. + +The effect of the laminar-dispersion force is investigated in [1]_. + +OpenCMP provides two canonical forms through ``canonical_form``. They use the +same mass balances, pressure, gravity, and interphase momentum closures, but +differ in their treatment of molecular momentum fluxes. The B-TFM formulation +is due to Brennen [2]_; its momentum equations in primitive form are + +.. math:: + \partial_t\boldsymbol{u}_c + +\boldsymbol{u}_c\cdot\nabla\boldsymbol{u}_c + &= -\frac{\nabla p}{\rho_c} + +\frac{1}{\alpha_c\rho_c}\nabla\cdot\boldsymbol{\tau}^{\mathrm{eff}}_c + +\boldsymbol{g} + -\frac{\boldsymbol{\mathcal{M}}'_d}{\alpha_c\rho_c}, \\ + \partial_t\boldsymbol{u}_d + +\boldsymbol{u}_d\cdot\nabla\boldsymbol{u}_d + &= -\frac{\nabla p}{\rho_d} + +\boldsymbol{g} + +\frac{\boldsymbol{\mathcal{M}}'_d}{\alpha_d\rho_d}. + +The classical C-TFM formulation described by Ishii and Hibiki [3]_ instead +retains phase-weighted molecular stress terms in both phase momentum equations: + +.. math:: + \partial_t\boldsymbol{u}_c + +\boldsymbol{u}_c\cdot\nabla\boldsymbol{u}_c + &= -\frac{\nabla p}{\rho_c} + +\frac{1}{\alpha_c\rho_c} + \nabla\cdot(\alpha_c\boldsymbol{\tau}^{\mathrm{eff}}_c) + +\boldsymbol{g} + -\frac{\boldsymbol{\mathcal{M}}'_d}{\alpha_c\rho_c}, \\ + \partial_t\boldsymbol{u}_d + +\boldsymbol{u}_d\cdot\nabla\boldsymbol{u}_d + &= -\frac{\nabla p}{\rho_d} + +\frac{1}{\alpha_d\rho_d} + \nabla\cdot(\alpha_d\boldsymbol{\tau}_d) + +\boldsymbol{g} + +\frac{\boldsymbol{\mathcal{M}}'_d}{\alpha_d\rho_d}. + +The principal distinction is therefore the dispersed-phase molecular stress +:math:`\nabla\cdot(\alpha_d\boldsymbol{\tau}_d)`, which is present in C-TFM +and absent in B-TFM. The continuous-phase stress is also averaged differently: +C-TFM uses :math:`\nabla\cdot(\alpha_c\boldsymbol{\tau}^{\mathrm{eff}}_c)`, +whereas B-TFM uses :math:`\nabla\cdot\boldsymbol{\tau}^{\mathrm{eff}}_c`. +For this tutorial, ``canonical_form = C-TFM`` selects the classical form. + +Geometry and Injection Configuration +------------------------------------ + +The Gmsh geometry in ``2D_sample.msh`` is a :math:`0.20\,\mathrm{m}` wide by +:math:`0.45\,\mathrm{m}` high column. A :math:`0.04\,\mathrm{m}` by +:math:`0.02\,\mathrm{m}` rectangular injection region is centred immediately +above the bottom boundary. The physical surface named ``injection`` activates +the dispersed-phase mass and momentum sources; the remainder is named +``surface``. Boundary curves are marked ``wall``, ``bottom``, and ``outlet``. + +The model configuration supplies the source parameters:: + + [INJECTION] + region = injection + mass_flow_rate = 0.3 + velocity = 0.2 + +Thus gas is introduced only in ``injection`` with an upward injection velocity +of :math:`0.2\,\mathrm{m/s}`. + +The Main Configuration File +--------------------------- + +The velocity spaces are H(div)-conforming, while pressure and continuous-phase +volume fraction use discontinuous L2 spaces:: + + [FINITE ELEMENT SPACE] + elements = u_c -> HDiv + u_d -> HDiv + p -> L2 + alpha_c -> L2 + interpolant_order = 3 + + [DG] + DG = True + interior_penalty_coefficient = 10.0 + +The nonlinear problem is advanced with implicit Euler and Picard iteration:: + + [SOLVER] + linear_solver = direct + linearization_method = Picard + nonlinear_tolerance = relative -> 1e-5 + absolute -> 1e-5 + nonlinear_max_iterations = 10 + + [TRANSIENT] + transient = True + scheme = implicit euler + time_range = 0.0, 3.0 + dt = 2e-3 + +``slope_limiter`` bounds the transported volume fraction, while +``diffusion_switch`` enables the configured artificial diffusion. The TFM +section selects the canonical form and interphase closures:: + + [OTHER] + model = TwoFluidModel + slope_limiter = True + diffusion_switch = True + + [TFM] + canonical_form = C-TFM + IME = drag -> Tomiyama + lift -> Tomiyama + virtual_mass -> ConstantCoefficient + laminar_dispersion -> ConstantCoefficient + lift_wall_deactivation = True + lift_wall_boundaries = wall|bottom + +The Model Configuration File +---------------------------- + +The physical properties represent :math:`3\,\mathrm{mm}` air bubbles in water:: + + [PARAMETERS] + rho_c = all -> 998.2 + rho_d = all -> 1.204 + nu_c = all -> 1.0038e-6 + nu_d = all -> 1.5158e-5 + sigma_c = all -> 0.072 + dp = all -> 3e-3 + c_vm = all -> 0.5 + cdis = all -> 4.545 + d_artificial = all -> 1e-5 + +Boundary and Initial Conditions +------------------------------- + +The liquid satisfies no slip on the side and bottom walls. The dispersed +phase has a slip condition there, constraining its normal velocity while +leaving tangential motion free. Both velocities have zero stress at the open +top, and ``ZERO_BACKFLOW`` supplies the outflow treatment for :math:`\alpha_c`:: + + [DIRICHLET] + u_c = wall -> [0.0, 0.0] + bottom -> [0.0, 0.0] + + [SLIP] + u_d = wall|bottom + + [ZERO_STRESS] + u_c = outlet + u_d = outlet + + [ZERO_BACKFLOW] + alpha_c = outlet|wall|bottom + +The column initially contains quiescent liquid and no gas:: + + [TwoFluidModel] + u_c = all -> [0.0, 0.0] + u_d = all -> [0.0, 0.0] + alpha_c = all -> 1.0 + +Running and Visualizing the Simulation +-------------------------------------- + +From ``examples/TFM``, run: + +.. code-block:: console + + python3 -m opencmp config + +The supplied configuration currently has ``resume_from_previous = True`` and +``restart_from = LATEST``. Keep these settings to continue an existing run; +disable ``resume_from_previous`` when starting from the initial conditions in a +clean output directory. Open the generated output in ParaView to inspect +:math:`\alpha_c`, :math:`\boldsymbol{u}_c`, and :math:`\boldsymbol{u}_d`. + +The following animation shows these three solution fields for the example: + +.. raw:: html + + + +.. [1] A. Fazeli, S. Rhebergen, and N. M. Abukhdeir, "Laminar dispersion + force effects on two-fluid modelling and simulation of bubble column + hydrodynamics," *International Journal of Multiphase Flow*, 105590, 2026. + +.. [2] C. E. Brennen, *Fundamentals of Multiphase Flow*, Cambridge University + Press, 2005. + +.. [3] M. Ishii and T. Hibiki, *Thermo-Fluid Dynamics of Two-Phase Flow*, + Springer Science & Business Media, 2010. doi:10.1007/978-1-4419-7985-8. diff --git a/examples/TFM/config b/examples/TFM/config index fc351ec..4c22a33 100644 --- a/examples/TFM/config +++ b/examples/TFM/config @@ -25,20 +25,17 @@ relaxation_factors = 1.0, 1.0, 1.0, 1.0 [TRANSIENT] transient = True scheme = implicit euler -time_range = 0.0, 5.0 +time_range = 0.0, 3.0 dt = 2e-3 [VISUALIZATION] save_to_file = True -save_type = .sol -#save_vtu_each_timestep = False +save_type = .vtu +save_vtu_each_timestep = True save_frequency = 5, numit [OTHER] -#mean_zero_pressure = True -resume_from_previous = True -restart_from = LATEST -num_threads = 1 +num_threads = 6 model = TwoFluidModel run_dir = . slope_limiter = True From 7ffbc51ef472065e50c324dc0fb3f8279c91d8c8 Mon Sep 17 00:00:00 2001 From: arshiiyyaa Date: Sat, 15 Aug 2026 14:53:17 -0400 Subject: [PATCH 8/8] clean up TFM example configuration formatting --- examples/TFM/config | 7 +------ 1 file changed, 1 insertion(+), 6 deletions(-) diff --git a/examples/TFM/config b/examples/TFM/config index 4c22a33..9e0a650 100644 --- a/examples/TFM/config +++ b/examples/TFM/config @@ -29,7 +29,7 @@ time_range = 0.0, 3.0 dt = 2e-3 [VISUALIZATION] -save_to_file = True +save_to_file = True save_type = .vtu save_vtu_each_timestep = True save_frequency = 5, numit @@ -49,8 +49,3 @@ IME = drag -> Tomiyama laminar_dispersion -> ConstantCoefficient lift_wall_deactivation = True lift_wall_boundaries = wall|bottom - - - - -

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