From 572350d2f29867af46b48f2727e823a70653d5e2 Mon Sep 17 00:00:00 2001 From: d-burg Date: Thu, 20 Aug 2026 20:38:38 -0400 Subject: [PATCH 01/13] InnerLayer.SLAYER - FEATURE! - Add the Fitzpatrick diffusive-resistive layer width Adds three algebraic scales to `LayerWidths` alongside the Riccati `delta_s`: `delta_norm` (r_s S^-1/3), `delta_visco` (the P^1/6 viscous-resistive broadening) and `delta_dr`, the diffusive-resistive width of Fitzpatrick, Nucl. Fusion 2025 (doi 10.1088/1741-4326/ae4fdd) Eq. (100), which sets the edge layer-overlap criterion. The mapping of Eq. (100) into SLAYER variables is not literal. The paper's tau_A (its Eq. 74) carries no shear, whereas SLAYER's tau_h divides by n*s, so lu = tau_R/tau_h = (n|s|) * (tau_R/tau_A). Substituting that cancels Eq. (100)'s explicit (n|s|)^(-1/2) exactly, leaving delta_dr = r_s^(3/2) * P_perp^(1/4) / ( lu^(1/2) * d_beta^(1/2) ) with no shear factor. Carrying the (n|s|)^(-1/2) on top of SLAYER's lu double-counts the shear and understates the width by sqrt(n|s|) -- a factor of 6.6 at q=7 on the DIII-D-like deck, enough to report no overlap anywhere. Validated against the paper's own Sect. 5.8 JET model, which this reproduces at Psi = 0.9985 for n = 1 (paper: 0.9985) and 0.9936 for n = 4 (paper: 0.9952). Marked `!` because `LayerWidths` gains fields. --- src/InnerLayer/SLAYER/LayerThickness.jl | 41 ++++++++++++++++++++++++- 1 file changed, 40 insertions(+), 1 deletion(-) diff --git a/src/InnerLayer/SLAYER/LayerThickness.jl b/src/InnerLayer/SLAYER/LayerThickness.jl index 0b6db9761..9a70a2d38 100644 --- a/src/InnerLayer/SLAYER/LayerThickness.jl +++ b/src/InnerLayer/SLAYER/LayerThickness.jl @@ -137,6 +137,26 @@ is built from, retained as a drift-scale reference. - `delta_s` -- complex layer thickness `δ_s = dels_db · d_β` [m] - `delta_s_m` -- `|δ_s|`, the resistive layer thickness in meters (primary) - `d_beta` -- β-weighted ion scale `c_β·d_i` in meters (drift reference) + - `delta_norm` -- layer normalization length `r_s · S^(-1/3)` in meters, the + length by which Δ' is made dimensionless (`Δ̂' = Δ'·delta_norm`). Shared by all + four regimes of Burgess et al. (2026) Eqs. (10)-(13), not specific to any one + of them, and **not** the classic non-rotating Furth-Killeen-Rosenbluth (1963) + constant-ψ tearing width, which scales as `S^(-2/5)` and is not computed here. + Exactly the reciprocal of the `delta_n` Δ-normalization already carried on + `SLAYERParameters`, restated as a length for comparison with `delta_s_m` + - `delta_dr` -- diffusive-resistive layer thickness in meters, Fitzpatrick (2025) + Eq. (100). Strong magnetic shear near the separatrix forces every resonant layer in + that region into the diffusive-resistive (`nu = 1/4`) regime, so this is the width the + edge overlap criterion compares against surface spacing. In the paper's normalized + radius, `delta_hat = tau_A^(1/2) / (tau_R^(1/4) tau_E^(1/4) d_beta_hat^(1/2) (n|s|)^(1/2))`; + with `lu = tau_R/tau_A` and `P_perp = tau_R/tau_E` that is + `lu^(-1/2) P_perp^(1/4) / (d_beta_hat^(1/2) (n|s|)^(1/2))`, scaled by `rs` for meters. + Distinct from `delta_visco`, which is the 2/3 power of the same timescale grouping and + carries neither the `d_beta` nor the shear factor + - `delta_visco` -- viscous-resistive scale `delta_norm · P_perp^(1/6)` in meters, + from the `P^(1/6)` broadening of the VR-regime growth rate, Burgess et al. + (2026) Eq. (11). The paper gives the growth rate rather than an explicit width; + this is the corresponding length `delta_s_m` should sit within a few orders of magnitude of `d_beta` for a well-posed surface (`dels_db` is O(1)); a large gap flags a normalisation @@ -150,6 +170,9 @@ struct LayerWidths delta_s::ComplexF64 delta_s_m::Float64 d_beta::Float64 + delta_norm::Float64 + delta_visco::Float64 + delta_dr::Float64 end """ @@ -161,11 +184,27 @@ surface. Runs [`riccati_del_s`](@ref) for the dimensionless `δ_s / d_β` and scales by `p.d_beta` to obtain `δ_s` in meters. Keyword arguments are forwarded to `riccati_del_s`. + +The two algebraic comparison scales `delta_norm` and `delta_visco` come from +`p` directly and do not depend on the Riccati solve. """ function slayer_layer_thickness(p::SLAYERParameters; kwargs...) dels_db = riccati_del_s(p; kwargs...) delta_s = dels_db * p.d_beta + # Layer normalization length: exactly 1/delta_n (delta_n = S^(1/3)/r_s), computed + # from rs and lu so it reads as a length. Burgess et al. (2026), the Δ̂' = Δ'/S^(1/3) + # normalization preceding Eq. (10). + delta_norm = p.rs * p.lu^(-1.0 / 3.0) + # Viscous-resistive broadening, P^(1/6) coefficient of Burgess et al. (2026) Eq. (11). + delta_visco = delta_norm * p.P_perp^(1.0 / 6.0) + # Diffusive-resistive width, Fitzpatrick (2025) Eq. (100), in meters. d_beta_hat is the + # normalized ion scale d_beta/rs; the shear is the r-based |s| SLAYER already carries. + # The paper's tau_A (its Eq. 74) carries no shear, whereas SLAYER's tau_h divides by n*s, + # so lu = tau_R/tau_h = (n|s|) * (tau_R/tau_A). Substituting that into Eq. (100) cancels its + # explicit (n|s|)^(-1/2) exactly, leaving no shear dependence in terms of lu. + d_beta_hat = p.d_beta / p.rs + delta_dr = d_beta_hat > 0 ? p.rs * p.lu^(-0.5) * p.P_perp^(0.25) / sqrt(d_beta_hat) : NaN return LayerWidths(p.ising, p.m, p.n, dels_db, delta_s, abs(delta_s), - p.d_beta) + p.d_beta, delta_norm, delta_visco, delta_dr) end From b6d8eba056ff1bd69294699eaf1f0570e8df5f46 Mon Sep 17 00:00:00 2001 From: d-burg Date: Thu, 20 Aug 2026 20:38:55 -0400 Subject: [PATCH 02/13] Equilibrium - FEATURE! - Share the separatrix edge q-law with the layer-overlap scan Factors the diverging edge model q ~ -A*ln(1-psi) out of the grid-refinement density floor into `edge_q_law`, so one fit serves both that floor and the resistive-layer overlap scan's search for rational surfaces beyond the equilibrium grid. A cubic in psi (on q or on iota) saturates instead of diverging and is not usable for the extrapolation; measured on the DIII-D-like deck, extrapolating from a grid ending at psi=0.97 to the true q=8 surface at psi=0.99976, the log law lands within 5% while a cubic iota undershoots by 18%. `edge_q_law` returns nothing when the diverging model does not describe the equilibrium, judged by knot count, sign of A, and the log fit beating a plain linear one. That test now gates the edge density floor, which was previously applied unconditionally: a limited plasma with finite edge q is no longer packed as if q blew up. Marked `!` because that changes the auto grid, and so results, for limited decks (Solovev, LAR); diverted decks are unaffected. Also adds an optional `psihigh` to `refined_psi_grid`, which truncates the measured knot density so a pass-1 equilibrium can supply the density for a reduced domain. --- src/Equilibrium/GridRefinement.jl | 123 +++++++++++++++++++++++++++++- 1 file changed, 121 insertions(+), 2 deletions(-) diff --git a/src/Equilibrium/GridRefinement.jl b/src/Equilibrium/GridRefinement.jl index e58eb81dc..87aee692c 100644 --- a/src/Equilibrium/GridRefinement.jl +++ b/src/Equilibrium/GridRefinement.jl @@ -57,6 +57,86 @@ const CORE_MODEL_PSI_MAX = 0.03 const EDGE_MODEL_PSI_MIN = 0.9 # θ-lines subsample stride for the 2D geometry channels const THETA_STRIDE = 8 +# --- shared separatrix edge q-law ------------------------------------------------------------- +# Minimum knots in the edge band before a fit is attempted. +const EDGE_FIT_MIN_KNOTS = 4 +# The diverging model must explain the edge q this well in absolute terms. Measured over the +# shipped decks: DIII-D-like 0.9957 and 0.9989 (diverted, q -> inf at the separatrix) against +# 0.972 for the a10 fixed-boundary case, 0.9035 for LAR and 0.7600 for Solovev (all limited, +# finite edge q). Rejecting is the safe direction -- it only means no extrapolation. +const EDGE_FIT_MIN_R2 = 0.99 + +# Least-squares slope and coefficient of determination for y = a + b*x. +function _linfit_r2(x::Vector{Float64}, y::Vector{Float64}) + x_bar = sum(x) / length(x) + y_bar = sum(y) / length(y) + sxx = sum((x .- x_bar) .^ 2) + sxx > 0 || return (NaN, NaN, NaN, NaN) + b = sum((x .- x_bar) .* (y .- y_bar)) / sxx + ss_res = sum((y .- (y_bar .+ b .* (x .- x_bar))) .^ 2) + ss_tot = sum((y .- y_bar) .^ 2) + r2 = ss_tot > 0 ? 1 - ss_res / ss_tot : NaN + return (b, r2, x_bar, y_bar) +end + +""" + edge_q_law(equil; psi_max, psi_min=EDGE_MODEL_PSI_MIN, min_knots=EDGE_FIT_MIN_KNOTS, + min_r2=EDGE_FIT_MIN_R2) -> nothing | (; A, q_bar, u_bar, n_knots, r2_log, r2_linear) + +Least-squares fit of the separatrix edge law `q = q̄ + A·(ln(1−ψ) − ū)` over the equilibrium's +outer knots — the single shared statement of that model, used both by the grid-refinement edge +density floor and by the resistive-layer overlap scan's out-of-grid surface search. + +Returns `nothing` when the diverging model does **not** describe this equilibrium's edge, so a +plasma with finite edge q is never extrapolated as if q blew up: + + - fewer than `min_knots` knots in the band; + - `A ≥ 0`, i.e. q not rising toward ψ = 1; + - `r2_log < min_r2` — the log law does not actually fit; + - `r2_log ≤ r2_linear` — a plain linear-in-ψ fit explains the edge q at least as well, which is + what a **limited** plasma looks like. This comparison carries no scale and is what separates + the shipped limited decks (Solovev 0.760 vs 0.9996 linear; LAR 0.904 vs 0.998) from the + diverted ones (DIII-D 0.996 vs 0.865, 0.999 vs 0.594). + +This is a test of the **model**, not a topology classification: it asks whether q diverges +logarithmically here, not whether an x-point exists. Geometric x-point detection is +[`classify_topology`](@ref), which is a separate concern. +""" +function edge_q_law(equil::PlasmaEquilibrium; + psi_max::Real=Float64(equil.profiles.xs[end]), + psi_min::Real=EDGE_MODEL_PSI_MIN, + min_knots::Int=EDGE_FIT_MIN_KNOTS, + min_r2::Real=EDGE_FIT_MIN_R2) + xs = collect(Float64, equil.profiles.xs) + band = findall(x -> x >= psi_min && x < psi_max, xs) + if length(band) < min_knots + n_tail = max(min_knots, length(xs) ÷ 10) + band = filter(i -> xs[i] < psi_max, collect(max(1, length(xs) - n_tail + 1):length(xs))) + end + length(band) >= min_knots || return nothing + + q = [Float64(equil.profiles.q_spline(xs[i])) for i in band] + u = [log(1.0 - xs[i]) for i in band] + all(isfinite, u) && all(isfinite, q) || return nothing + + A, r2_log, u_bar, q_bar = _linfit_r2(u, q) + _, r2_linear, _, _ = _linfit_r2([xs[i] for i in band], q) + (isfinite(A) && A < 0) || return nothing # q must rise toward the edge + (isfinite(r2_log) && r2_log >= min_r2) || return nothing + (isfinite(r2_linear) && r2_log > r2_linear) || return nothing + + return (A=A, q_bar=q_bar, u_bar=u_bar, n_knots=length(band), r2_log=r2_log, r2_linear=r2_linear) +end + +""" +ψ at which the edge law reaches `q_target`; closed form, no root-finding needed. +""" +edge_q_law_psi(fit, q_target::Real) = 1.0 - exp(fit.u_bar + (q_target - fit.q_bar) / fit.A) + +""" +dq/dψ from the edge law: q = q̄ + A·ln(1−ψ) + const ⇒ dq/dψ = −A/(1−ψ). +""" +edge_q_law_dqdpsi(fit, psi::Real) = -fit.A / (1.0 - psi) # Rational-surface bracketing (Δ′ robustness). The ideal-MHD Δ′ asymptotic matching samples the # cubic equilibrium splines' 2nd/3rd derivatives across each rational ψ_s over the matching stencil # [ψ_s − dpsi, ψ_s + dpsi], dpsi = singfac_min/|n·q′|. A cubic 3rd derivative is piecewise constant @@ -248,10 +328,15 @@ function _knot_density(equil::PlasmaEquilibrium; tau::Float64, kin::Union{Nothin # nodal data of the smallest flux surfaces is dominated by integration and axis # extrapolation error, so measured curvature is not trusted below the core split. dlog = (4.0 * tau)^(1 / 3) + # The edge floor encodes the DIVERGING edge law q ≈ -A·ln(1-ψ), so it is applied only where + # that model actually describes the equilibrium. A limited plasma has finite edge q and must + # not be packed as if q blew up. The density itself stays A-independent (that is the point of + # the form: uniform relative q′ error regardless of A) -- the fit supplies validity, not slope. + edge_diverges = edge_q_law(equil) !== nothing @inbounds for i in 1:n if xs[i] <= CORE_MODEL_PSI_MAX rho_s[i] = 1.0 / (dlog * xs[i]) - elseif xs[i] >= EDGE_MODEL_PSI_MIN + elseif edge_diverges && xs[i] >= EDGE_MODEL_PSI_MIN rho_s[i] = max(rho_s[i], 1.0 / (dlog * (1.0 - xs[i]))) end rho_s[i] = max(rho_s[i], 1.0 / H_TARGET_MAX) @@ -409,9 +494,33 @@ function bracket_mandatory_nodes(grid::Vector{Float64}, centers::Vector{Float64} return merged end +""" + _truncate_density(xs, rho, psihigh) -> (xs_t, rho_t) + +Restrict a measured knot density to `[xs[1], psihigh]`, linearly interpolating `rho` at the new +outer endpoint so the density integral stays continuous in `psihigh`. Errors when `psihigh` lies +outside the sampled grid, where the density is unmeasured. +""" +function _truncate_density(xs, rho::Vector{Float64}, psihigh::Float64) + xs_v = collect(Float64, xs) + psihigh > xs_v[1] || + error("_truncate_density: psihigh=$psihigh must exceed the inner grid bound $(xs_v[1])") + psihigh <= xs_v[end] + 1e-12 || + error( + "_truncate_density: psihigh=$psihigh exceeds the pass-1 grid end $(xs_v[end]); " * + "the knot density is unmeasured there — form the enlarged domain first, then refine against it" + ) + psihigh >= xs_v[end] - 1e-12 && return (xs_v, rho) + + k = searchsortedlast(xs_v, psihigh) + frac = (psihigh - xs_v[k]) / (xs_v[k+1] - xs_v[k]) + rho_end = rho[k] + frac * (rho[k+1] - rho[k]) + return (vcat(xs_v[1:k], psihigh), vcat(rho[1:k], rho_end)) +end + """ refined_psi_grid(equil::PlasmaEquilibrium; tau, kin=nothing, mandatory=Float64[], - singfac_min=1e-4, n_min=1, bracket_coef=BRACKET_COEF, + psihigh=nothing, singfac_min=1e-4, n_min=1, bracket_coef=BRACKET_COEF, min_spacing=MIN_KNOT_SPACING, N_cap=1024) -> Vector{Float64} Build the refined pass-2 ψ grid from a formed pass-1 equilibrium: measured-curvature knot @@ -423,11 +532,18 @@ whose pedestal gradients attract knots; `mandatory` lists rational-surface ψ va `dpsi = singfac_min/(n_min·|q′|)`, and the bracket half-width is `bracket_coef·dpsi` (floored at `min_spacing`). Rational surfaces are bracketed, not pinned: a knot on the surface would make the Δ′ extraction's cubic 3rd derivative jump mid-stencil (see `BRACKET_COEF`). + +`psihigh` builds the grid for a domain *smaller* than the one `equil` was formed on: the measured +density is truncated there and the last node lands exactly on it. This lets a pass-1 equilibrium +supply the density for a re-form on a reduced domain without an extra solve. Passing a `psihigh` +beyond the pass-1 grid is an error — the density out there is unmeasured, so an enlarged domain +must be formed first and refined against that. """ function refined_psi_grid(equil::PlasmaEquilibrium; tau::Float64, kin::Union{Nothing,KineticProfileSplines}=nothing, mandatory::Vector{Float64}=Float64[], + psihigh::Union{Nothing,Real}=nothing, singfac_min::Float64=1e-4, n_min::Int=1, bracket_coef::Float64=BRACKET_COEF, @@ -435,6 +551,9 @@ function refined_psi_grid(equil::PlasmaEquilibrium; N_cap::Int=REFINED_N_CAP) xs = equil.profiles.xs rho = _knot_density(equil; tau, kin) + if psihigh !== nothing + xs, rho = _truncate_density(xs, rho, Float64(psihigh)) + end # Floor the density to a fixed (τ-independent) locally-uniform fine patch around each rational # so Δ′ has the resolution to sample 3rd derivatives there at any accuracy target (see # RATIONAL_RES_SPACING). From 96c8d9586e8a5001463b8e7ee1f11eb6a9c4a0e2 Mon Sep 17 00:00:00 2001 From: d-burg Date: Thu, 20 Aug 2026 20:38:55 -0400 Subject: [PATCH 03/13] Tearing - FEATURE - Add the resistive-layer overlap scan Locates the q = m/n rational surfaces, computes each one's resistive layer width, and reports the outermost psi at which adjacent layers are still separated -- the outermost domain the matched-asymptotic treatment supports, per Fitzpatrick, Nucl. Fusion 2025 Sect. 5.9. Surfaces beyond the equilibrium grid are located on the shared separatrix edge q-law, so the scan can report an overlap point lying outside psihigh; that is recorded rather than clipped, since it is the bookkeeping a user needs to see whether the domain was constrained by layer physics at all. Widths are compared in normalized flux, converted from metres by the Jacobian of whichever radial label `rs_method` selects -- the same label that sets the shear, tau_R and d_beta/r, because Eq. (100) is not covariant (delta ~ J^(1/2) under a change of radial variable) and is only valid in the coordinate it was derived in. On the DIII-D-like deck the label is worth one rational surface: the cut sits at psi=0.99752 under `:midplane` and 0.99939 under `:flux`, Fitzpatrick's Eq. (30) label. Reports both the |delta_s| and Eq. (100) channels separately so the two can be compared; they disagree by about two surfaces, which is the subject of issue #411. --- src/Tearing/LayerOverlap.jl | 385 ++++++++++++++++++++++++++++++++++++ src/Tearing/Tearing.jl | 2 + 2 files changed, 387 insertions(+) create mode 100644 src/Tearing/LayerOverlap.jl diff --git a/src/Tearing/LayerOverlap.jl b/src/Tearing/LayerOverlap.jl new file mode 100644 index 000000000..1e67f7e5e --- /dev/null +++ b/src/Tearing/LayerOverlap.jl @@ -0,0 +1,385 @@ +# LayerOverlap.jl +# +# Resistive-layer overlap scan: how far out in ψ the equilibrium domain needs +# to extend before adjacent rational surfaces' resistive layers run into each +# other. Once two neighbouring layers overlap, neither surface has a +# well-separated inner region, so the matched-asymptotic treatment stops being +# meaningful there and extending `psihigh` past that point buys nothing. +# Criterion: Fitzpatrick, Nucl. Fusion 2025 (doi 10.1088/1741-4326/ae4fdd) Sect. 5.9 — +# retain surfaces with psi < 1 - eps_c, where overlap is judged with the +# diffusive-resistive layer width of its Eq. (100), the regime strong shear forces +# near the separatrix. +# +# Lives in `Tearing` rather than `InnerLayer/SLAYER` for the same reason +# `build_ggj_inputs` does: it needs `ForceFreeStates._find_rational_surfaces`, +# and `InnerLayer` loads before `ForceFreeStates`. +# +# Surfaces beyond the equilibrium's own ψ grid are located on the separatrix edge +# law q ≈ -A·ln(1-ψ), via the shared `Equilibrium.edge_q_law` helper that also gates +# the grid-refinement edge density model -- one statement of the model, one fit, one +# limited-plasma guard. The log form is the only one that survives the +# extrapolation: a cubic in ψ (on q or on ι = 1/q) saturates instead of diverging. Measured on the DIII-D-like deck, extrapolating +# from a grid ending at ψ=0.97 to the true q=8 surface at ψ=0.99976, the edge law +# lands within 5% while a cubic ι undershoots by 18% — enough to miss the surface +# entirely and report no overlap where there is one. +# +# The extrapolated surfaces inform the *choice* of domain only; the final +# equilibrium is always re-formed and solved on the accepted domain. + +using ..Utilities: KineticProfiles +using ..ForceFreeStates: _find_rational_surfaces, SingType +using ..InnerLayer.SLAYER: SLAYERParameters, build_slayer_inputs, slayer_layer_thickness, + surface_minor_radius, surface_da_dpsi, radial_label +using ..Utilities.NeoclassicalResistivity: NeoResistivityModel, SauterNeoModel +using ..Equilibrium: edge_q_law, edge_q_law_psi, edge_q_law_dqdpsi, InverseIngest +using FastInterpolations: cubic_interp, ExtendExtrap, DerivOp +using Roots: find_zero, Brent +using Printf: @sprintf + +""" + LayerOverlapScan + +Per-surface resistive layer widths and the `psihigh` they imply, from +[`resistive_layer_overlap`](@ref). + +All widths are in **normalized flux**, converted from the metre-valued +`LayerWidths` scales by `Δψ = w / |da/dψ|` so they can be compared against +surface *separations* in ψ. Comparing the metre values directly against ψ is a +dimensional error. + +# Fields + + - `m`, `n` -- resonant mode numbers per surface, ordered by increasing ψ + - `psi` -- surface location in normalized flux + - `rs` -- minor radius at the surface in meters + - `delta_s_m` -- `|δ_s|`, the Riccati resistive layer width, in meters + - `width_delta_s` -- the same width in normalized flux, `|δ_s|/|da/dψ|` + - `width_visco` -- the visco-resistive comparison scale as a Δψ width + - `width_dr` -- the diffusive-resistive width of Fitzpatrick (2025) Eq. (100) as a Δψ + width. This is the criterion the recommendation uses: the paper's Sect. 5.6 shows that + strong shear near the separatrix forces every layer there into the DR regime + - `extrapolated` -- true when the surface was located outside the + equilibrium's ψ grid via the edge q-law + - `psihigh_delta_s`, `psihigh_visco` -- domain implied by each width channel, + `nothing` when that channel never overlaps within the scanned range + - `psihigh` -- the recommendation: the smaller of the two, or `nothing` + - `first_overlap` -- index of the first surface that overlaps its inner + neighbour, `nothing` when none do + - `notes` -- surfaces that were located but could not be scored, and why +""" +struct LayerOverlapScan + m::Vector{Int} + n::Vector{Int} + psi::Vector{Float64} + rs::Vector{Float64} + delta_s_m::Vector{Float64} + width_delta_s::Vector{Float64} + width_visco::Vector{Float64} + width_dr::Vector{Float64} + extrapolated::Vector{Bool} + psihigh_delta_s::Union{Float64,Nothing} + psihigh_visco::Union{Float64,Nothing} + psihigh_dr::Union{Float64,Nothing} + psihigh::Union{Float64,Nothing} + first_overlap::Union{Int,Nothing} + notes::Vector{String} +end + +# Inverse equilibria (CHEASE) are solved on a PRESCRIBED boundary: `InverseIngest.sq_xs` spans +# [0, 1] and `sq_fs[:, 3]` is the code's own q there, finite at ψ = 1 (6.90 on the shipped +# fixture). So beyond `psihigh` there is nothing to model -- the real q is already known, and the +# scan reads it instead of extrapolating. That also means the search runs all the way to ψ = 1 +# rather than stopping short of a separatrix that a fixed-boundary equilibrium does not have. +# +# The direct/EFIT path cannot do this: a g-file also carries q on [0, 1], but it is the +# reconstruction's q, which goes to a finite qa where a diverted plasma's q diverges. GPEC +# recomputes q by field-line tracing out to psihigh, and past that nothing has been traced. +_inverse_q_spline(ingest::InverseIngest) = + cubic_interp(collect(Float64, ingest.sq_xs), collect(Float64, ingest.sq_fs[:, 3]); + extrap=ExtendExtrap()) + +# Locate q = q_target on the real q profile, between `psi_lo` and `psi_hi`. Returns nothing when +# the target is outside the range this equilibrium actually reaches. +function _real_q_surface(qspl, q_target::Real, psi_lo::Float64, psi_hi::Float64) + q_lo, q_hi = Float64(qspl(psi_lo)), Float64(qspl(psi_hi)) + (q_lo - q_target) * (q_hi - q_target) <= 0 || return nothing + return find_zero(p -> Float64(qspl(p)) - q_target, (psi_lo, psi_hi), Brent()) +end + +""" + resistive_layer_overlap(equil, profiles::KineticProfiles; n_tor, kwargs...) + -> LayerOverlapScan + +Locate the q = m/`n_tor` rational surfaces, compute each one's resistive layer +width, and report the outermost `psihigh` at which adjacent layers are still +separated. + +Surfaces inside the equilibrium grid come from +`ForceFreeStates._find_rational_surfaces` (Brent root-finding segmented between +q-extrema, so reverse shear is handled). Surfaces beyond the grid come from the +separatrix edge law `q ≈ -A·ln(1-ψ)` fitted over the outer knots when +`extrapolate=true`, which is what lets the scan recommend a domain *larger* than +the one it was handed. See the file header for why a cubic extrapolation is not +usable here. + +Layer widths come from [`slayer_layer_thickness`](@ref) via +[`build_slayer_inputs`](@ref), so the scan uses the same plasma inputs and the +same resistivity closure as the SLAYER analysis itself. + +# Arguments + + - `equil` -- a formed `PlasmaEquilibrium` + - `profiles` -- `KineticProfiles` spanning the scanned ψ range + +# Keyword arguments + + - `n_tor` -- toroidal mode number; surfaces are q = m/`n_tor` + + - `m_max` -- runaway backstop on the poloidal mode number (default `2000`). This is **not** + the physics limit: the outward search terminates when the edge law places a surface at or + beyond `psi_cap`, i.e. when it is indistinguishable from the separatrix. On a diverted + equilibrium rational surfaces accumulate without bound toward ψ = 1, so some cap is needed, + but it should never be what stops the scan — if it is, the scan says so in `notes`, because + "no overlap found" would otherwise be reported for a non-physical reason + - `psihigh_safe` -- treat this as the outer edge of trusted equilibrium data + (default `equil.profiles.xs[end]`) + - `psi_cap` -- never place a surface beyond this ψ on the **direct** path (default + `1 - 1e-9`). Purely numerical: it is not derived from the contour clamp or from any topology + test, and it stops the outward search from crowding indefinitely onto ψ = 1 where surfaces + become indistinguishable. Loosening it is cheap (1e-6 → 1e-9 adds ~5 surfaces on the + DIII-D-like deck at no measurable cost and does not change the answer) and guards against + missing an overlap that lies further out than the cap. Inverse equilibria ignore it: they + have a prescribed boundary and the search runs to ψ = 1 on the real q. + + Note the accuracy limit here is **not** `psi_cap` but `surface_da_dpsi`, which clamps its + finite-difference stencil to `1 - 1e-4`; surfaces closer than that to the boundary get + geometry evaluated at `1 - 1e-4` rather than at their own ψ (da/dψ = 0.348729 identically + for every ψ beyond it on the DIII-D-like deck). Their widths are therefore approximate + - `extrapolate` -- search past `psihigh_safe` on the edge q-law (default `true`) + - `theta` -- poloidal angle for the minor-radius chord (default `0.0`) + - `mu_i`, `zeff`, `chi_perp`, `chi_tor`, `resistivity_model`, `lnLambda_form` + -- passed through to `build_slayer_inputs` + +The overlap criterion is that surface `k` overlaps its inner neighbour when +`ψ_k − w_k/2 < ψ_{k-1} + w_{k-1}/2`. When that happens **both** surfaces are +contaminated, so the recommendation cuts at the inner edge of surface `k-1`, +leaving `k-2` as the outermost trustworthy surface. +""" +function resistive_layer_overlap(equil, profiles::KineticProfiles; + n_tor::Integer, + m_max::Integer=2000, + max_layer_solves::Integer=64, + psihigh_safe::Real=Float64(equil.profiles.xs[end]), + psi_cap::Real=1.0 - 1e-9, + extrapolate::Bool=true, + theta::Real=0.0, + rs_method::Symbol=:midplane, + mu_i::Real=2.0, + zeff::Real=1.0, + chi_perp=1.0, + chi_tor=1.0, + resistivity_model::NeoResistivityModel=SauterNeoModel(), + lnLambda_form::Symbol=:nrl) + + n_tor > 0 || throw(ArgumentError("resistive_layer_overlap: n_tor must be positive, got $n_tor")) + # Widths come back in metres of whichever radial label `rs_method` selects, so the + # conversion into normalised flux must use that same label's Jacobian. + _, _dr_dpsi = radial_label(equil; rs_method=rs_method, theta=theta) + psihigh_safe = Float64(psihigh_safe) + psi_cap = Float64(psi_cap) + notes = String[] + + # In-grid surfaces for this n, ordered outward. + found = [(m=s.m, psi=s.psifac, extrap=false) + for s in _find_rational_surfaces(equil, Int(n_tor), Int(n_tor)) + if s.psifac <= psihigh_safe && s.m <= m_max] + sort!(found; by=s -> s.psi) + + # Surfaces past the grid. An inverse equilibrium already knows its real q out to ψ = 1, so + # it is read rather than modelled; only the direct path needs the edge law. + edge_fit = nothing + inv_q = (getfield(equil, :ingest) isa InverseIngest) ? _inverse_q_spline(equil.ingest) : nothing + if extrapolate && inv_q !== nothing + psi_top = 1.0 # a prescribed boundary, not a separatrix + m_start = isempty(found) ? 1 : maximum(s.m for s in found) + 1 + reached_end = false + for m in m_start:Int(m_max) + psi_m = _real_q_surface(inv_q, m / n_tor, psihigh_safe, psi_top) + if psi_m === nothing + reached_end = true # q never reaches m/n inside this equilibrium + break + end + psi_m > psihigh_safe || continue + push!(found, (m=m, psi=psi_m, extrap=true)) + end + !reached_end && m_start <= m_max && + push!(notes, + "outward search stopped at the m_max = $m_max backstop rather than at the boundary " * + "q; a \"no overlap\" result here is not conclusive -- raise m_max") + push!(notes, "inverse equilibrium: surfaces beyond ψ = $(@sprintf("%.6f", psihigh_safe)) " * + "read from the real q profile out to ψ = 1 (no edge-law extrapolation)") + elseif extrapolate && psihigh_safe < psi_cap + edge_fit = edge_q_law(equil; psi_max=psihigh_safe) + if edge_fit === nothing + push!( + notes, + "edge q-law rejected: the diverging model q ~ -A*ln(1-ψ) does not describe " * + "this edge (limited plasma with finite edge q, q not rising, or too few outer " * + "knots), so no surfaces are placed beyond ψ = $(@sprintf("%.6f", psihigh_safe))" + ) + else + m_start = isempty(found) ? 1 : maximum(s.m for s in found) + 1 + # Terminates on psi_cap -- surfaces indistinguishable from the separatrix -- not on + # m_max. Reaching m_max means the scan was cut short for a non-physical reason and + # any "no overlap" verdict from it is unsafe, so record that. + reached_cap = false + for m in m_start:Int(m_max) + psi_m = edge_q_law_psi(edge_fit, m / n_tor) + psi_m > psihigh_safe || continue # already inside the grid + if psi_m >= psi_cap + reached_cap = true # separatrix reached: the physical end of the scan + break + end + push!(found, (m=m, psi=psi_m, extrap=true)) + end + if !reached_cap && m_start <= m_max + push!(notes, + "outward search stopped at the m_max = $m_max backstop rather than at the " * + "separatrix; a \"no overlap\" result here is not conclusive -- raise m_max") + end + end + end + + isempty(found) && return LayerOverlapScan(Int[], Int[], Float64[], Float64[], Float64[], Float64[], + Float64[], Bool[], nothing, nothing, nothing, nothing, + push!(notes, "no q = m/$n_tor surfaces found")) + + ms, ns, psis, rss = Int[], Int[], Float64[], Float64[] + dels_m, w_dels, w_visc, w_dr, extraps = Float64[], Float64[], Float64[], Float64[], Bool[] + + # Overlap is decided by the first crossing walking outward, so surfaces far beyond it cannot + # change the answer -- but each one costs a Riccati layer solve, and this scan runs whenever + # kinetic profiles are readable, flag or no flag. Bound the work rather than only the m index, + # and say so when the bound bites, since a "no overlap" verdict from a truncated list is not + # conclusive. + if length(found) > max_layer_solves + push!(notes, + "surface list truncated from $(length(found)) to the innermost $max_layer_solves for " * + "the layer solve (max_layer_solves); a \"no overlap\" verdict here is not conclusive") + found = found[1:max_layer_solves] + end + + for s in found + q_val = s.m / n_tor + # dq/dψ from the equilibrium spline in-grid, from the edge law outside it. + q1_val = if !s.extrap + Float64(equil.profiles.q_deriv(s.psi)) + elseif inv_q !== nothing + Float64(inv_q(s.psi; deriv=DerivOp(1))) # real profile, not a model + else + edge_q_law_dqdpsi(edge_fit, s.psi) + end + da_dpsi = _dr_dpsi(s.psi) + if !isfinite(da_dpsi) || da_dpsi == 0.0 + push!(notes, "m=$(s.m): da/dψ = $da_dpsi at ψ=$(@sprintf("%.6f", s.psi)); cannot convert width to flux units") + continue + end + + sing = SingType(; m=[s.m], n=[Int(n_tor)], psifac=s.psi, rho=sqrt(s.psi), q=q_val, q1=q1_val) + # Built one surface at a time so a single degenerate surface (e.g. ω_*e == ω_*i, + # which makes iota_e singular) is recorded and skipped rather than aborting the scan. + params = try + build_slayer_inputs(equil, [sing], profiles; rs_method=rs_method, + mu_i=mu_i, zeff=zeff, chi_perp=chi_perp, chi_tor=chi_tor, + dr_val=0.0, dc_type=:none, theta=theta, + resistivity_model=resistivity_model, lnLambda_form=lnLambda_form) + catch err + err isa ArgumentError || rethrow() + push!(notes, "m=$(s.m) at ψ=$(@sprintf("%.6f", s.psi)): $(err.msg)") + continue + end + + lw = slayer_layer_thickness(params[1]) + if !isfinite(lw.delta_s_m) + push!(notes, "m=$(s.m) at ψ=$(@sprintf("%.6f", s.psi)): del_s Riccati did not converge") + continue + end + # Both widths must be finite. A NaN delta_visco would compare false against every + # neighbour in _first_overlap_limit, so the viscous criterion would silently report "no + # overlap" and `recommended` would quietly lose its more conservative half -- biasing the + # domain outward, which is the unsafe direction. + if !isfinite(lw.delta_dr) + push!(notes, "m=$(s.m) at ψ=$(@sprintf("%.6f", s.psi)): Eq. (100) width is not finite; " * + "surface excluded so the DR criterion cannot fail open") + continue + end + if !isfinite(lw.delta_visco) + push!(notes, "m=$(s.m) at ψ=$(@sprintf("%.6f", s.psi)): viscous width is not finite; " * + "surface excluded so the viscous criterion cannot fail open") + continue + end + + # Metres → normalized flux. This conversion is the whole reason the scan + # can compare a layer width against a surface separation. + push!(ms, s.m) + push!(ns, Int(n_tor)) + push!(psis, s.psi) + push!(rss, params[1].rs) + push!(dels_m, lw.delta_s_m) + push!(w_dels, lw.delta_s_m / abs(da_dpsi)) + push!(w_visc, lw.delta_visco / abs(da_dpsi)) + push!(w_dr, lw.delta_dr / abs(da_dpsi)) + push!(extraps, s.extrap) + end + + ph_dels, k_dels = _first_overlap_limit(psis, w_dels) + ph_visc, k_visc = _first_overlap_limit(psis, w_visc) + ph_dr, k_dr = _first_overlap_limit(psis, w_dr) + # The DR width is the criterion: near the separatrix the shear is strong enough that + # Fitzpatrick (2025) Sect. 5.6 puts every layer in that regime. The delta_s ODE and the + # viscous scale stay reported so the three can be compared, but they do not set the domain. + recommended = ph_dr + + return LayerOverlapScan(ms, ns, psis, rss, dels_m, w_dels, w_visc, w_dr, extraps, + ph_dels, ph_visc, ph_dr, recommended, k_dr, notes) +end + +# Walk outward and return (recommended psihigh, index of first overlapping surface). +# Overlap at k means surfaces k and k-1 are both contaminated, so the domain is cut +# at the inner edge of k-1. +function _first_overlap_limit(psi::Vector{Float64}, w::Vector{Float64}) + for k in 2:length(psi) + if psi[k] - w[k] / 2 < psi[k-1] + w[k-1] / 2 + return (psi[k-1] - w[k-1] / 2, k) + end + end + return (nothing, nothing) +end + +function Base.show(io::IO, ::MIME"text/plain", s::LayerOverlapScan) + println(io, "LayerOverlapScan: $(length(s.psi)) surface(s), n = ", + isempty(s.n) ? "-" : string(s.n[1])) + if !isempty(s.psi) + println(io, rpad("q", 8), rpad("psi", 13), rpad("r_s [m]", 11), + rpad("dpsi(del_s)", 14), rpad("dpsi(visco)", 14), rpad("dpsi(DR)", 14), "source") + for i in eachindex(s.psi) + println(io, + rpad("$(s.m[i])/$(s.n[i])", 8), + rpad(@sprintf("%.7f", s.psi[i]), 13), + rpad(@sprintf("%.5f", s.rs[i]), 11), + rpad(@sprintf("%.4e", s.width_delta_s[i]), 14), + rpad(@sprintf("%.4e", s.width_visco[i]), 14), + rpad(@sprintf("%.4e", s.width_dr[i]), 14), + s.extrapolated[i] ? "extrapolated" : "in-grid") + end + end + _fmt(x) = x === nothing ? "none (no overlap in range)" : @sprintf("%.7f", x) + println(io, " psihigh from |del_s| : ", _fmt(s.psihigh_delta_s)) + println(io, " psihigh from visco : ", _fmt(s.psihigh_visco)) + println(io, " psihigh from Eq.(100): ", _fmt(s.psihigh_dr)) + println(io, " recommended psihigh : ", _fmt(s.psihigh)) + for note in s.notes + println(io, " note: ", note) + end + return nothing +end diff --git a/src/Tearing/Tearing.jl b/src/Tearing/Tearing.jl index 745a30857..80bce7b23 100644 --- a/src/Tearing/Tearing.jl +++ b/src/Tearing/Tearing.jl @@ -22,6 +22,7 @@ using ..Utilities import ..InnerLayer as InnerLayer include("LayerInputs.jl") +include("LayerOverlap.jl") include("Dispersion/Dispersion.jl") include("Runner/Runner.jl") @@ -30,5 +31,6 @@ import .Runner as Runner export InnerLayer, Dispersion, Runner export build_ggj_inputs +export resistive_layer_overlap, LayerOverlapScan end # module Tearing From f66ebb5ce5a1935316d714f00f254981d6a31800 Mon Sep 17 00:00:00 2001 From: d-burg Date: Thu, 20 Aug 2026 20:39:17 -0400 Subject: [PATCH 04/13] ForceFreeStates - FEATURE - Cap the integration domain at the resistive-layer overlap `sing_lim!` gains an optional `psilim_cap`. Where the resistive layers of adjacent rational surfaces overlap, no surface retains a well-separated inner region and matched asymptotics is not defined, so that location is an upper bound on the useful domain. It is applied as a cap on `qlim` rather than by assigning `psilim` directly, which keeps it a bound rather than a setpoint: the existing `dmlim` / `qhigh` truncation still selects the final surface from inside it, and a cap lying beyond `psihigh` is inert by construction with no special case -- it simply loses the `min`. The domain can therefore only shrink, never grow, so no equilibrium ever has to be re-formed. Measured on the shipped DIII-D decks with the Eq. (100) width in the `:flux` label, the cap changes no retained surface on any of them: it is beyond `psihigh` for the ideal (0.995), riccati (0.995) and gal_resistive (0.993) decks, and on the SLAYER deck (0.9995) it binds by 1.1e-4 in psi without crossing a rational. The scan needs kinetic profiles, which two of those decks do not carry, so it is inert there regardless. --- src/ForceFreeStates/Surfaces/Finding.jl | 17 ++++++++++++++++- 1 file changed, 16 insertions(+), 1 deletion(-) diff --git a/src/ForceFreeStates/Surfaces/Finding.jl b/src/ForceFreeStates/Surfaces/Finding.jl index 2c7bdac14..cbe7c805a 100644 --- a/src/ForceFreeStates/Surfaces/Finding.jl +++ b/src/ForceFreeStates/Surfaces/Finding.jl @@ -110,7 +110,8 @@ performed to find the corresponding `psilim` to integrate to. Note that the Newton iteration will be triggered if either `set_psilim_via_dmlim` is true or `ctrl.qhigh < equil.params.qmax`. Otherwise, the equilibrium edge values are used. """ -function sing_lim!(intr::ForceFreeStatesInternal, ctrl::ForceFreeStatesControl, equil::Equilibrium.PlasmaEquilibrium) +function sing_lim!(intr::ForceFreeStatesInternal, ctrl::ForceFreeStatesControl, equil::Equilibrium.PlasmaEquilibrium; + psilim_cap::Union{Nothing,Real}=nothing) profiles = equil.profiles @@ -119,6 +120,20 @@ function sing_lim!(intr::ForceFreeStatesInternal, ctrl::ForceFreeStatesControl, intr.q1lim = profiles.q_deriv(profiles.xs[end]; hint=Ref(profiles.npts_minus_1)) intr.psilim = equil.params.psihigh_resolved + # Resistive-layer overlap imposes an UPPER BOUND on the domain: past the first pair of + # overlapping layers no surface retains a well-separated inner region, so matched asymptotics + # is not defined out there. Applied as a cap on qlim rather than as psilim directly, so the + # dmlim / qhigh truncation below still selects the final surface from inside the bound. + # Never widens the domain: a cap beyond psihigh is inert by construction. + if psilim_cap !== nothing && psilim_cap < intr.psilim + q_cap = profiles.q_spline(Float64(psilim_cap)) + if q_cap < intr.qlim + @info "Resistive-layer overlap caps the domain: qlim $(@sprintf("%.3f", intr.qlim)) -> " * + "$(@sprintf("%.3f", q_cap)) (psi $(@sprintf("%.6f", intr.psilim)) -> $(@sprintf("%.6f", Float64(psilim_cap))))" + intr.qlim = q_cap + end + end + # Optionally override qlim based on dmlim (Fortran sas_flag=t equivalent). The cutoff reads # the *resolved* toroidal range on `intr`, so callers must assign intr.nlow / intr.nhigh # before calling; an unresolved range is an error rather than a silent change of truncation From f30d110ad3b4b5a3cdd3431411bc99e58023a935 Mon Sep 17 00:00:00 2001 From: d-burg Date: Fri, 21 Aug 2026 11:39:06 -0400 Subject: [PATCH 05/13] InnerLayer.SLAYER - TEST - Check the layer width against the published Fitzpatrick JET case Rebuilds the model JET equilibrium of Fitzpatrick, Nucl. Fusion 2025 Sect. 5.8 from the paper's own definitions -- the Eqs. (32)-(35) safety factor with alpha-/alpha+ solved self-consistently against Eq. (36), and mtanh edge profiles anchored to its Fig. 8 -- and checks where adjacent resistive layers first overlap against the values the paper reports. The widths are driven through `slayer_parameters` and `slayer_layer_thickness` rather than recomputed here, so the test covers the shipped tau_R / tau_A / d_beta chain and the `delta_dr` formula itself. That distinction matters: the bug this test would have caught -- carrying Eq. (100)'s explicit (n|s|)^(-1/2) on top of a `lu` that already contains it -- lives in exactly that chain, and a test that reimplemented the width would have passed while the shipped one was wrong. Measured against the paper: Psi = 0.9985111 for n = 1 (paper 0.9985, deviation 1.1e-5) and 0.9949738 for n = 4 (paper 0.9952, deviation 2.3e-4). Bounds are set at 1e-4 and 1e-3, leaving roughly 9x and 4x margin; the model is quadrature and root-finding with no BLAS, so platform spread is orders of magnitude below either. The test logs both deviations so a future failure reports how far it moved rather than only that it moved. This is the suite's second check pinned to an external published reference rather than to GPEC's own history. --- test/runtests.jl | 1 + test/runtests_layer_overlap_fitzpatrick.jl | 129 +++++++++++++++++++++ 2 files changed, 130 insertions(+) create mode 100644 test/runtests_layer_overlap_fitzpatrick.jl diff --git a/test/runtests.jl b/test/runtests.jl index 7845eea60..540d99a28 100644 --- a/test/runtests.jl +++ b/test/runtests.jl @@ -40,6 +40,7 @@ else include("./runtests_slayer_params.jl") include("./runtests_slayer_riccati.jl") include("./runtests_slayer_inputs.jl") + include("./runtests_layer_overlap_fitzpatrick.jl") include("./runtests_dispersion_residual.jl") include("./runtests_dispersion_coupled.jl") include("./runtests_dispersion_coupled_full.jl") diff --git a/test/runtests_layer_overlap_fitzpatrick.jl b/test/runtests_layer_overlap_fitzpatrick.jl new file mode 100644 index 000000000..21b1efb50 --- /dev/null +++ b/test/runtests_layer_overlap_fitzpatrick.jl @@ -0,0 +1,129 @@ +# External-reference check of the diffusive-resistive layer width against a published +# result: Fitzpatrick, Nucl. Fusion 2025 (doi 10.1088/1741-4326/ae4fdd), Sect. 5.8-5.9. +# +# The paper reports that for its model JET equilibrium the resistive layers of adjacent +# rational surfaces first overlap at Psi = 0.9985 for n = 1 (its Fig. 9) and Psi = 0.9952 +# for n = 4 (its Fig. 10). This rebuilds that equilibrium from the paper's own definitions +# and drives GPEC's `delta_dr` through `slayer_parameters`, so the width formula and the +# tau_R / tau_A / d_beta chain feeding it are checked against a number in print rather than +# against GPEC's own history. +@testset "Layer overlap vs Fitzpatrick (2025) JET model" begin + using GeneralizedPerturbedEquilibrium.InnerLayer.SLAYER: slayer_parameters, + slayer_layer_thickness, SpitzerHarmModel + using QuadGK: quadgk + using Roots: find_zero, Bisection + + # Sect. 5.8 parameters. + B0, R0, A_MIN = 3.45, 2.96, 1.25 + ZEFF, MNUM, CHI = 10.0, 2.0, 1.0 + Q0, Q95, Q105 = 1.01, 3.5, 4.0 + + # Model safety factor, Eqs. (32)-(35). alpha- depends on rhat95, which depends on the + # profile through Eq. (36), so the pair is solved self-consistently. + q_in(r, am) = Q0 - am * log(1 - r^2) + q_out(r, ap) = -ap * log(r^2 - 1) + q_any(r, am, ap) = r < 1 ? q_in(r, am) : q_out(r, ap) + psi_raw(r, am, ap) = quadgk(x -> x / q_any(x, am, ap), 0.0, r; rtol=1e-11)[1] + + am, ap = 1.0, 1.0 + for _ in 1:200 + psi_sep = psi_raw(1.0 - 1e-12, am, ap) + r95 = find_zero(r -> psi_raw(r, am, ap) / psi_sep - 0.95, (0.5, 1 - 1e-9), Bisection()) + f105(r) = (psi_sep + quadgk(x -> x / q_out(x, ap), 1 + 1e-12, r; rtol=1e-10)[1]) / psi_sep - 1.05 + hi = 1.0 + 1e-9 + while hi < 1.40 && f105(hi) < 0 # q_out turns negative past r = sqrt(2) + hi += 0.005 + end + r105 = hi >= 1.40 ? 1.20 : find_zero(f105, (1 + 1e-9, hi), Bisection()) + am_new = -(Q95 - Q0) / log(1 - r95^2) + ap_new = -Q105 / log(r105^2 - 1) + converged = abs(am_new - am) < 1e-12 && abs(ap_new - ap) < 1e-12 + am, ap = am_new, ap_new + converged && break + end + psi_sep = psi_raw(1.0 - 1e-12, am, ap) + q_of(r) = q_any(r, am, ap) + Psi_of(r) = r < 1 ? psi_raw(r, am, ap) / psi_sep : + (psi_sep + quadgk(x -> x / q_out(x, ap), 1 + 1e-12, r; rtol=1e-10)[1]) / psi_sep + dq_dr(r) = r < 1 ? am * 2r / (1 - r^2) : -ap * 2r / (r^2 - 1) + s_of(r) = r * dq_dr(r) / q_of(r) + + # mtanh edge profiles read off the paper's Fig. 8, anchored at Psi = 0.96 and at the + # separatrix (Sect. 5.9 states Te ~ 100 eV there). + function make_tanh(f096, f100, f_ped, f_sol) + a = (f_ped - f_sol) / 2 + x1 = atanh(clamp(1 - (f096 - f_sol) / a, -0.999, 0.999)) + x2 = atanh(clamp(1 - (f100 - f_sol) / a, -0.999, 0.999)) + d = 0.04 / (x2 - x1) + p0 = 0.96 - x1 * d + return P -> f_sol + a * (1 - tanh((P - p0) / d)) + end + te_of = make_tanh(400.0, 100.0, 600.0, 20.0) + ne_of = make_tanh(3.5e19, 1.2e19, 5.0e19, 3.0e18) + + # Width in units of rhat, through the shipped code path. + function width_hat(r, n) + P = Psi_of(r) + te = te_of(P) + ne = ne_of(P) + p = slayer_parameters(; n_e=ne, t_e=te, t_i=te, + omega=0.0, omega_e=1.0e4, omega_i=5.0e3, + qval=q_of(r), sval_r=s_of(r), bt=B0, + rs=r * A_MIN, R0=R0, mu_i=MNUM, zeff=ZEFF, + chi_perp=CHI, chi_tor=CHI, m=1, n=n, + resistivity_model=SpitzerHarmModel(), lnLambda_form=:nrl) + return slayer_layer_thickness(p).delta_dr / A_MIN + end + + function surfaces(n; rmin=0.90, rmax=1.35) + out = Tuple{Int,Float64}[] + for m in 1:400 + qt = m / n + qt < q_of(rmin) && continue + r = if qt < q_of(1 - 1e-13) + find_zero(x -> q_of(x) - qt, (rmin, 1 - 1e-13), Bisection()) + elseif qt > q_of(1 + 1e-13) && qt < q_of(rmax) + find_zero(x -> q_of(x) - qt, (1 + 1e-13, rmax), Bisection()) + else + nothing + end + r === nothing || push!(out, (m, r)) + end + sort!(out; by=t -> t[2]) + return out + end + + # Inner boundary of the overlap region: the first surface whose layer runs into its + # inner neighbour, reported at that neighbour's location. + function overlap_psi(n) + S = surfaces(n) + for k in 2:length(S) + gap = S[k][2] - S[k-1][2] + (width_hat(S[k-1][2], n) + width_hat(S[k][2], n)) / 2 >= gap && return Psi_of(S[k-1][2]) + end + return nothing + end + + # The self-consistent profile must reproduce the paper's own inputs before the widths + # mean anything. + @test isapprox(q_of(0.0), Q0; atol=1e-10) + @test am > 0 && ap > 0 + + psi1 = overlap_psi(1) + @test psi1 !== nothing + psi1 === nothing || @info "Fitzpatrick 2025 overlap, n = 1" psi=psi1 paper=0.9985 deviation=abs(psi1 - 0.9985) atol=1e-4 + # Paper: Psi = 0.9985 (n = 1); measured deviation 1.1e-5. The bound covers the pedestal read + # off Fig. 8 and the resistivity closure (Spitzer-Harm here against the paper's Eqs. 70-72), + # and still leaves ~9x margin. Pure quadrature and root-finding, no BLAS, so platform spread + # sits far below this. + @test isapprox(psi1, 0.9985; atol=1e-4) + + psi4 = overlap_psi(4) + @test psi4 !== nothing + psi4 === nothing || @info "Fitzpatrick 2025 overlap, n = 4" psi=psi4 paper=0.9952 deviation=abs(psi4 - 0.9952) atol=1e-3 + # Paper: Psi = 0.9952 (n = 4); measured deviation 2.3e-4. Looser than n = 1 because these + # surfaces sit further in, where the digitised pedestal shape matters more. + @test isapprox(psi4, 0.9952; atol=1e-3) + # The overlap region must move inward with n, which is the paper's reported scaling. + @test psi4 < psi1 +end From eb8aafd165794d32273e8ee7a6cf683e52d36fa8 Mon Sep 17 00:00:00 2001 From: d-burg Date: Wed, 26 Aug 2026 23:51:50 -0400 Subject: [PATCH 06/13] Docs - MINOR - Index the SLAYER inner-layer references Adds an InnerLayer (SLAYER) section to the per-module citation list, covering the two-fluid slab layer paper the module is built on and the Fitzpatrick 2025 paper whose Eq. (100) width and Sect. 5.9 overlap criterion the layer-overlap scan uses. Both PDFs now live in docs/resources. Co-Authored-By: Claude Opus 5 --- docs/development/references.md | 13 +++++++++++++ ...sma to a resonant magnetic perturbation.pdf | Bin 0 -> 831642 bytes 2 files changed, 13 insertions(+) create mode 100644 docs/resources/2025-Fitzpatrick-Response of a magnetically diverted tokamak plasma to a resonant magnetic perturbation.pdf diff --git a/docs/development/references.md b/docs/development/references.md index e19b92e32..43f3daf74 100644 --- a/docs/development/references.md +++ b/docs/development/references.md @@ -68,6 +68,19 @@ The PerturbedEquilibrium module implements GPEC-style perturbed equilibrium calc - Published: Physics of Plasmas **24**, 032505 (2017) - Describes: Self-consistent coupling with neoclassical effects +## InnerLayer Module (SLAYER) + +The SLAYER slab inner-layer solver and the resistive-layer width diagnostics are based on: + +- **Burgess et al. (2026)**: "Tearing Stability Prediction Combining Toroidal Calculations With a Two-Fluid Slab Layer" + - Location: `docs/resources/2026-Burgess-Tearing Stability Prediction Combining Toroidal Calculations With a Two-Fluid Slab Layer.pdf` + - Describes: The two-fluid slab layer, its four regimes, and the `S^(1/3)` outer-inner matching + +- **Fitzpatrick (2025)**: "Response of a magnetically diverted tokamak plasma to a resonant magnetic perturbation" + - Location: `docs/resources/2025-Fitzpatrick-Response of a magnetically diverted tokamak plasma to a resonant magnetic perturbation.pdf` + - Published: Nuclear Fusion (2025), doi 10.1088/1741-4326/ae4fdd (open access: arXiv:2511.07666) + - Describes: Diffusive-resistive layer width (Eq. 100) and the resistive-layer-overlap truncation `0 < Ψ < 1 − ε_c` (Sect. 5.9) + ## Resistive MHD Stability Analysis (Future Work) GPEC will eventually implement resistive MHD stability analysis based on: diff --git a/docs/resources/2025-Fitzpatrick-Response of a magnetically diverted tokamak plasma to a resonant magnetic perturbation.pdf b/docs/resources/2025-Fitzpatrick-Response of a magnetically diverted tokamak plasma to a resonant magnetic perturbation.pdf new file mode 100644 index 0000000000000000000000000000000000000000..b12990f3220bf28e549d2f1a35e53ddde30ee30d GIT binary patch literal 831642 zcmcG$1z45Y_CHQbcb7-HySp2uySwwy9TL(dogytMjig9OiF7wegLL^n2s3x)I(NQv z@ALo7<8wUwJ?~zhReSBV*4`tzf|vw7GXp0)dE0s39XvCD31Dwz1<%I^V3aon8k!ga z4FRm6he`lO1w(UFX8_y7K*hts6u>A7`q{?b93UV7Z)#_9Kau4R1cY6H7WPg6DkTPh zgeB0^!4T+VX>3gmn&xC`2)zHr&`HD66(DJ92jT*tLj^Q-XK^qw<6-CIU}iEh)1d~v zEA~PfKxF|0Iymz%GMd<1GT1wrGcq$VuyL`oGco=oz`(-J%*?>V$-%(^njmLsY-;Ch z`Y;JJ$M_!1($&=1-qzOM&iUtjn}>It8I3&X?TqQ|Oc>c1m>5Bm6;#AE7$jV5Y>W); z>`Xx%s#sV$13-U3Y^j)P&;is;ot!Q0?EtI{%xui;+$!3k(;0sz`u8`>IL0~~A&oox+4 zL(rQ}rq1?uhIYW;rvMy4FS|GyffQkH2ZB~{GIVeNO=grZv;mQSP@}ZizZ7lgi zZW9tg0eC)l9(P*@Tab4G+-+^_oO#^&Nen^GXUYTme*c(}1n~0}pfx|qqiRV6-~oJ2 zAlFg?IoiW4(1@Sp-mySF;^yYY;KuskTHM^+j7%(yEG+b(H|U)`?0|;u^mfjqzmpI% zbvAagbhuX~;GU$Rk-ZC$pM*q!&%~Gq_|tL^2qwnA130)i+59ALV$5i2V`^(^2Xtm+ zW?*In&AO){Yy*7wVqQoojE^=JH3ginW2jfkVN4BjVtgm-hYuRrUvTp$kpLhV z2Nxq7OJ@sHCyDC{u08#;iD%>?qxKl%$uM-DuX zp-{!%-sX}1Z{hIYqapQQ0soQSPychWG`9dc|M%+uKOOLKrTp_~`fq0Y-M1b%{C{mV zOB2u%voy23H`{N!$A1oL|46mYE=E?S#=!qxw|{hP2MZ5pOJiq-pW&L`!Q$Vv^t*FE zg8g$f{V&et=-*&Et zT<2eD&Hc1L)BG1nW~QHWneTHaB>?k%1_b)+A!%ZMNSBx&U_s;+44puZ`R6R^-@)#= z`;TA`tTR9G&iueU^8@!R4~(!pF!B$ z&}su%9~1#%O4QyCc)zjVKYUON>w`?J4>GYm$OL**-qgg>P{iIH^yd9D4v^Dua1wt{ui(ZJ^u%=d$PZRJt*{l z0eh77A!Yn`$?iG%73@Lf{|nfIUH*e)_cHtn_FzLsNhf<32LRiHDgOs(_6O_#2k3hx z`~uDXX!HkY_W#+Q?0;*|du9F#{bX*|9fbTM^pVZ^q&LMqtqOaHhP5qr_1RVg>(Gf za{9SL{3`V$k^e!?zgtc}_n}|G{TL<~eSi|*C9pq7I|MEtzzjctmj4oV{4)PFPxc=#a z{}uXC&3|dZpE=vFN_`~q2>nm(`3p4n-`VqLp7;wi_n-DpP=fWdkNJQ4?XS>(w}1Z3 zO@D>{rvdy|u)ho7KQrK8!Tx7^a{sM8?`8NE?2+UDQ;m<7{+Hi!KR)?u=eZaA7cgd~ zN2~w$Xv|EH*8gj`KSmp2znL5d&l`d_YCeEp#Vk^<)3raLCoI|pUVTN z%s{pk0Fi1KS7l{`3S)X@Omt14> zsc+T%rRP)X3R@n8Ahxp^uRHb|XO_@UXR3zVS8?Y3+h5stE6eN2hfnrGcgT(h`n;FI zoo$;E8h!n~uQDLra1FR!D_l1AUyQZt5-r z$9{4Qn=1w!2eAbOu?T)ns(eD#ImU}0nivv(UcKFxA%Eb02T3Y3#&G(bO(Bx<#HGk> zCWhqMIU@u%!|-gW9Hb;OA?_v5E8G*+ucxYlCsd!g4)?Wtf|4iOdq$q^o!k~Y?eBLT zzSzk=^F|WS`hfmNfo6$Fz~$+nbDVJ9=Nmrh-kijKVHE&)=7nJz6Zh~z z(?V(<&IJ&>O`ST7PW;MPP?6fcfjh6VdSGYZ!(K(#fY;n2Bm_E(21nL=SXPpM3hUM36m+hD8s?&i?|-W%k)PSF;2RNm%Ic zwVeZi0HFv|RF$YAowc_Qv-k4LYX=cx3l-b_)75V>%|{vKJcMyO#3ux#189c;?T)lu zJ1&0>PcG5{^!EJrB!?F%g$rF@IQaBu7MhgDRR+N+jW!U~318xH`FA0d=iWIK6QpR| zv9xf}ggm!am(@in*YBM^W6hYVbVc1TAVA2gds`NR_Hs)9ILYU25up1*1e>V`Cr!fV z_V~&?@su^I*zoU;*6~Bw3O*4D&MhGqpGAvPi=S-3lf$}uO0Tu1cD#-LcZ1#-1h-{+5lGjG_<6A zUk5t)>qj~4?1K02Wb2-1w5L>yfDx-AvO9*9$Y9GBxgC!B)h~HrLf18rE*ELI_r>De zl+k{MJX)8$BXL`K_Dv$((kh9r1tWu8nmyP~uYD@$Dw>4ZajtG8Gi?yFL)ZcfYWRf| zaKEp^1W-98`msZUOhbrp3n=o6`jx8zflpmGE%&-WXBk(6M97}MBOm;Sf<4o!^+jGM zHrfP9Jj{X`T>F(Urv&yb60}1#xGeaLrd7jPh4(?a2wi%_%y=9kypX(-7~SF1$0-n` zQ1MRg*K%_(Z9~Mp=be1#5YkUCNqpv%2rpjq6JtVfU*hG|7eJ;heER|ib|Y`|0pvSUXh!x z1@-}fhz2U!?dKn?U+@_vi{j9su%vBAI&?gj+{g8-@YDlP_Sm9|KW8;M&ZdW6UQtf# zQx?32%+T9fZ{B&^To&{FuI?=};{xy<6JQd)K8cX(MfhO1m2jZBxUhoV|T)FJ4u8jH0(0@2Kl+ic2H=h&R=-$)$n?5<^o&5Z8Jj zil@oTe?x@7ym(P6^8=-%zfM(L?If|JeIZ*(6`6kRM{Wt7QTr!wMtzZ!Yq?P=)Jdq zW{Fc85&y74JW)GV`C62jvsAI+bHGJxK86Bs#>>&S0u^!jd`Dr(7ScI&-EekgtM0ox zPQ`pnZ2OW1D+~BV$aDvsdD|wA6ZFPepC!eK_*9zT%>ts(U#rQ`lws1+@rCAL5(x{U z4uTOtiS&Gi9))UAIvWe^kS2<%9INVJd?H0*#-LmL#*8}>k9JiCJyugpyDMkSl7XfZ zu>?h1Z3ufVEmD$#&IQ$=`nkZg`0!`vwQ=hDAC|7m04C->s85nk z@rk2g@+sxUD6}-v@0l*cQOAM^+b8ueHS&G;W^W|_v=e(Xyc4%hH z5U>3PV^SmK!Ez;s?qwneX~45Agc&$RRDm(wkn5rZvtpyzXjJ4W%+V1kW!^VRH!amE z5S^~wI#6v>-BLHA5MMSI!I?`E`#xH5SlK#a$(+QCP9?c4hCBA#OW4G<1^NYnZ)D#| zm@<8^X%9{byW?fQZ@FVUopL2QVFW%6h>cLg7ZO^Aqt>ZYc#$dv9=ha&mc+o2=P<+d z*}vvaPCgMD^-?yX9wi-_e^J$(L z+NMPTgIFu-O7@m+VERPF^*nnRdP)zGflyQjtt3%-yjWO03G4=kJZ8)%Qvu)4kN|Ls zRV0~E9Edi@GR0zbo<^r;ikz3?)GdwRH9=>}qfg3W+KAA36~ai>XMoRbdMP`(zQ#lq zJKQGLhkysmE5{E4@V7md>tBa4bLdEsh0=W`w5ca2id5A9Tw~wOv2%9V3%2XjpfMA~ z3N*!h<+oDSSh{`060Fv%f;Oor6u>@-jFb?Cq0jr0?3oTBYg&$^D4}%Y_?C%fQ7-

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  • nBQv z8PKt|Ln>|dd$MT8Wv%U0(X5z3Fv+~TCK!rRQ%sleSeCTYW%D~ZYhPVK9Lb7F4rE|w zSWyObOJB*MnBQbsF;QXXQWE)^N}|s8T*4W1}oUim2T~;Yi5pc3kD8nG7%EOG$O3+6wYgk zqM5l)tnCbu$q2=e&76ytb}AO1?we{ZDs87b6uJhgE;1R0nXx?rX1b@AaW#l0`g@wF zvGoIHYHn*^(O^12Q$(4rv!+O9{$FcfMP_@h8M+y%wzSh75F8W}3`UDC3QX?m&=qu@ zbu2v_Lv=8o)K$UsX|1$iLny!Ks$wSAChfRR)>WP9P+c|5(pA>Jn!xnFuJQH5N|~jb zNMBW<=SbIdCfjw*FiVSA`|1L-Ep(`4$}hSuGak})m9Gm3WVGl8Un|4Gcw9HQy`dWt zpD)YA8#>I5aYebF zEWsn7>jI3;SAy7O^HmH^vtm#=j&vCUepB!EE&G%UA@e z-(Vg%sICA8$A^v!(N5O|FSj{;ia}+k49(4WLxyR=#(=_Pm=4iFX)zqsW{_n=rZ$(X zI2_au0H(1stqA<=D}v5s6R4wd4UVb8$G}H5L{7?zY1ol@nDURFBL#zS%wRmEs3O(p z*bdJ3ie^xI1A_{@uWs=5GbFZe*j_dd6}A-R4Y*8fZmJ+t+Yt|4MJ6LuOoOfgrc3oI z9BgLSnHcq5fN5s+E6aIPQ4)uqK@|stV+!Lx6)%RU+)x#P`m1Z!?V6{Lut$d#s=55x&wwgp-&fJp)#!KNup&hb-`e|Ru?78r%-P?mBmm|4r(7L zlFZ~4q!sfa6a^}jtP5Ow1b(bEEAV>EBDN3GtUzATxhYsb>gT}`cTgWp!O~M128k$A zT2w({cCo2a=)QpxNDeD~Di(qIx+*$TpH9^vpJ`tMAs!-g;NUPj76uYTrFC3Qltn5J zG}!1=4nYtrG@b*D`L)1w%99$*cB=PHjM_BN0D?;P7Yd5gC*w6C*zOIG#>R4 zp#Yc;0D#HSzNW#(Feb-g2uM`NLkVJKXkS&PIsok;uxLBT95y!y7)GDYcnxCLLF25z z1m4$xXGX?_0F?e7im8Zap>U=$TrZw2C z)ISHt;y%FOn9=zv%&&zc(P-=ofqLdcV22!Re>KPwItJVdc8-AYz5BIO1;aw`5z(ELJ)87*e8bj6)uVd#I;U>1{aD}MdgoqYIARWWB02u~rg<%Gj z&l)JEHoB%mC{o@Sv!NpZ4r!Rz5y`&C1b!U zp)q~UKR;1RVQUI&m(9Zv3>rVcC64*(#G*ril|Ua<6tRcU z4uN#q7a>c^2XN`AeuII@;v2wNYzY|WT|<_rO`{pI#?GL@@BOgh%nk!q!rH3>wGT9? zLB5wNiwU9~P6%BW6--1i4G}DcsniG43{Xh<)PSmBYme9x<$I`UYReae`5Ao(A~X8H zyo^31bw7w44uMP&5oPsNW4S&f*ckV2IJaU`aMEY)7(3x&uKxqI-ZbeF+S~FFFP; z;K*J=d9b@3U`(Ext_D4CraGeX3Yb7`TVN8^@xY*MDSc3^Y+c~Q625|qqf)*C#(Z(8 zMg*Yg7}#>QF1U1HYmc8}eQ|sleFhFN9m8N}6$TQE7Xy>1zX}XN6!Lq5fR+p^s>1T1 zjRcpD*}%Yb#?SD;*m)ChAy4;15SeYE3lf4Eloo_a>G_2@MD;5AviOTG@cThv2sF?! zkT8Jm2f})M3|uiYTHuzk-&0uJR>#u?s%vp0$Ku|=n5_p4Af*`rEP8$gh&9#@0T_<4 zJ3d5DA+qQg&;e{eaKF!f51|&eesI}YI~W{{*KmK%<^g5Pe$Qa>PJ|C|NkwTk(3xN& z#5mm}5urXhU%2el|9}}QP`}$WZ6CBdhYpVF(?52wyP4J?XkgDl?x4v%!o7LKpg}|3 zF^2j74t)|(?gLhL^PrdA-*^$1)P@!VvpG5jf!7!)TN(dI(X!mr5JXM!eNpXUDlZ7&Ulk(UUgweq2|ay}Sa#0-gT@cHHi# literal 0 HcmV?d00001 From 9f1906f688d6b160920a9e823d78c4b41d64f880 Mon Sep 17 00:00:00 2001 From: d-burg Date: Thu, 27 Aug 2026 01:21:10 -0400 Subject: [PATCH 07/13] InnerLayer.SLAYER - BUGFIX - Use the shear magnitude in the layer timescales and widths slayer_parameters took sval_r with its sign in five places that are magnitudes: the parallel diffusivity chi_par_lmfp (twice), the island width Wd, the :lar critical-Delta, and the Alfven time tau_h. On a reverse-shear surface tau_h came out negative, hence a negative Lundquist number, and tauk = lu^(1/3)*tau_h threw a DomainError before any layer quantity was produced. Found on DIII-D 153072_3415, whose q dips to 1.855 off-axis. The layer timescales and widths depend on |dq/dr|, not its sign -- the module's own delta_dr derivation already states the convention as (n|s|). abs(s) == s wherever the shear is positive, so no currently-working surface changes. Co-Authored-By: Claude Opus 5 --- src/InnerLayer/SLAYER/LayerParameters.jl | 14 ++++++++------ 1 file changed, 8 insertions(+), 6 deletions(-) diff --git a/src/InnerLayer/SLAYER/LayerParameters.jl b/src/InnerLayer/SLAYER/LayerParameters.jl index 28976e6d3..638f456f9 100644 --- a/src/InnerLayer/SLAYER/LayerParameters.jl +++ b/src/InnerLayer/SLAYER/LayerParameters.jl @@ -146,11 +146,11 @@ function _solve_dc_tmp(; dc_type::Symbol, dr_val::Real, dgeo_val::Real, Wd = 0.1 converged = false for _ in 1:max_iter - chi_par_lmfp = (2.0 * R0 * vte) / (sqrt(π) * n_tor * sval_r * Wd) + chi_par_lmfp = (2.0 * R0 * vte) / (sqrt(π) * n_tor * abs(sval_r) * Wd) chi_par = (chi_par_smfp * chi_par_lmfp) / (chi_par_smfp + chi_par_lmfp) Wd_new = sqrt(8.0) * (chi_perp / chi_par)^0.25 * - (1.0 / sqrt((rs / R0) * sval_r * n_tor)) + (1.0 / sqrt((rs / R0) * abs(sval_r) * n_tor)) if abs(Wd_new - Wd) / max(abs(Wd), 1e-30) < tol Wd = Wd_new converged = true @@ -160,13 +160,13 @@ function _solve_dc_tmp(; dc_type::Symbol, dr_val::Real, dgeo_val::Real, end converged || error("SLAYERParameters: Wd iteration failed to converge") - chi_par_lmfp = (2.0 * R0 * vte) / (sqrt(π) * n_tor * sval_r * Wd) + chi_par_lmfp = (2.0 * R0 * vte) / (sqrt(π) * n_tor * abs(sval_r) * Wd) chi_par = (chi_par_smfp * chi_par_lmfp) / (chi_par_smfp + chi_par_lmfp) if dc_type === :lar return 0.5 * (-dr_val) * π^1.5 * (chi_par / chi_perp)^0.25 * - sqrt((n_tor * sval_r) / (R0 * rs)) + sqrt((n_tor * abs(sval_r)) / (R0 * rs)) elseif dc_type === :rfitzp return -(sqrt(2.0) * π^1.5 * dr_val) / Wd elseif dc_type === :toroidal @@ -318,8 +318,10 @@ function slayer_parameters(; # Alfven time uses minor-radius shear directly (sval enters the # b_l = (n/m) r_s sval bt / R0 expression and cancels through to - # tau_h = R0 sqrt(mu0 rho) / (n sval bt)). - tau_h = R0 * sqrt(MU_0 * rho) / (n * sval_r * bt) + # tau_h = R0 sqrt(mu0 rho) / (n sval bt)). Magnitude only: the layer timescales and + # widths depend on |dq/dr|, not its sign, and a reverse-shear surface would otherwise + # give tau_h < 0, hence lu < 0 and a DomainError in lu^(1/3) below. + tau_h = R0 * sqrt(MU_0 * rho) / (n * abs(sval_r) * bt) # Resistive diffusion time τ_R = μ₀ r_s² / η (Fitzpatrick 2023), with # the selected η closure — neoclassical by default — setting the # Lundquist number. From 6781b639f5b7c7e9f94c0305ec7c6ffd55ef722c Mon Sep 17 00:00:00 2001 From: d-burg Date: Thu, 27 Aug 2026 01:21:10 -0400 Subject: [PATCH 08/13] Tearing - BUGFIX - Keep one failed surface from aborting the layer-overlap scan The per-surface guard caught only ArgumentError, so a DomainError from any single surface propagated and killed the whole scan. The scan already builds surfaces one at a time precisely so a degenerate one can be recorded and skipped; this makes that hold for the error type it is most likely to hit -- kinetic profiles that stop short of an extrapolated surface, or a fractional power reached with a negative argument. Co-Authored-By: Claude Opus 5 --- src/Tearing/LayerOverlap.jl | 8 ++++++-- 1 file changed, 6 insertions(+), 2 deletions(-) diff --git a/src/Tearing/LayerOverlap.jl b/src/Tearing/LayerOverlap.jl index 1e67f7e5e..98f03f2d8 100644 --- a/src/Tearing/LayerOverlap.jl +++ b/src/Tearing/LayerOverlap.jl @@ -294,8 +294,12 @@ function resistive_layer_overlap(equil, profiles::KineticProfiles; dr_val=0.0, dc_type=:none, theta=theta, resistivity_model=resistivity_model, lnLambda_form=lnLambda_form) catch err - err isa ArgumentError || rethrow() - push!(notes, "m=$(s.m) at ψ=$(@sprintf("%.6f", s.psi)): $(err.msg)") + # Any single-surface failure is recorded and skipped, never fatal. A DomainError is + # the common one: profiles that stop short of the extrapolated surfaces, or a + # negative-shear surface reaching a sqrt/fractional power in the layer parameters. + err isa Union{ArgumentError,DomainError} || rethrow() + msg = err isa ArgumentError ? err.msg : sprint(showerror, err) + push!(notes, "m=$(s.m) at ψ=$(@sprintf("%.6f", s.psi)): skipped -- $(first(split(msg, '\n')))") continue end From d4ce058ff4d9706d77f755ed21cb6a3ae6677eb3 Mon Sep 17 00:00:00 2001 From: d-burg Date: Thu, 27 Aug 2026 01:21:10 -0400 Subject: [PATCH 09/13] Equilibrium - BUGFIX! - Gate the edge q-law on the log-vs-linear test rather than an absolute r2 EDGE_FIT_MIN_R2 = 0.99 was calibrated against the synthetic TokaMaker deck (r2_log 0.9957, 0.9989). Real EFIT/CAKE reconstructions of diverted DIII-D plasmas carry reconstruction noise in the edge q and fit the log law at r2_log = 0.929-0.977, so every one of them was rejected: no surfaces were placed past the equilibrium grid and the layer-overlap scan reported "no overlap" on 8 of 9 real shots -- a silent fail-open on the exact case the criterion exists for. No absolute threshold can do this job: the limited a10 fixed-boundary deck sits at 0.972, inside the diverted band. The r2_log > r2_linear comparison does separate the classes (diverted 0.96 vs 0.75; Solovev 0.760 vs 0.9996) and is unchanged. The floor is lowered to 0.90 rather than removed so a fit describing nothing is still rejected. Carries ! because the gate also controls the auto-grid edge density floor: an equilibrium that was previously rejected now receives it, changing its refined grid. Every shipped deck is unaffected (the DIII-D-like deck passed both thresholds; Solovev and LAR reject on the relative test; a10 rejects on knot count), so no harness case moves -- but a user running a real reconstruction on grid_type = "auto" will see a different grid. Co-Authored-By: Claude Opus 5 --- src/Equilibrium/GridRefinement.jl | 12 +++++++----- 1 file changed, 7 insertions(+), 5 deletions(-) diff --git a/src/Equilibrium/GridRefinement.jl b/src/Equilibrium/GridRefinement.jl index 87aee692c..b5a1accee 100644 --- a/src/Equilibrium/GridRefinement.jl +++ b/src/Equilibrium/GridRefinement.jl @@ -60,11 +60,13 @@ const THETA_STRIDE = 8 # --- shared separatrix edge q-law ------------------------------------------------------------- # Minimum knots in the edge band before a fit is attempted. const EDGE_FIT_MIN_KNOTS = 4 -# The diverging model must explain the edge q this well in absolute terms. Measured over the -# shipped decks: DIII-D-like 0.9957 and 0.9989 (diverted, q -> inf at the separatrix) against -# 0.972 for the a10 fixed-boundary case, 0.9035 for LAR and 0.7600 for Solovev (all limited, -# finite edge q). Rejecting is the safe direction -- it only means no extrapolation. -const EDGE_FIT_MIN_R2 = 0.99 +# Weak absolute floor on the diverging fit. The discrimination is done by the r2_log > r2_linear +# comparison below, not by this number: measured EFIT/CAKE reconstructions of diverted DIII-D +# plasmas fit the log law at r2 = 0.929-0.977 (reconstruction noise in the edge q), which overlaps +# the 0.972 of the limited a10 fixed-boundary deck, so no absolute threshold separates the two +# classes. The relative test does separate them cleanly (diverted 0.96 vs 0.75 linear; Solovev +# 0.760 vs 0.9996 linear). This floor only rejects fits that describe nothing at all. +const EDGE_FIT_MIN_R2 = 0.90 # Least-squares slope and coefficient of determination for y = a + b*x. function _linfit_r2(x::Vector{Float64}, y::Vector{Float64}) From d10d8b4172646b9f58143de7a64afd4c353e6909 Mon Sep 17 00:00:00 2001 From: d-burg Date: Thu, 27 Aug 2026 01:47:39 -0400 Subject: [PATCH 10/13] Tearing - BUGFIX! - Cut the domain at the last clean surface, not half a layer inside it The scan returned psi[k-1] - w[k-1]/2, which drops the outermost surface the criterion found to be clean. Fitzpatrick (2025) Sect. 5.9 retains the rational surfaces in 0 < psi < 1 - eps_c, and psi[k-1] is 1 - eps_c: the surface itself is the boundary. The branch's own external check, runtests_layer_overlap_fitzpatrick.jl, already reports Psi_of(S[k-1]) and matches the paper's 0.9985 / 0.9952 with it, so the scan and its validation were using different conventions. Measured over ten equilibria (the shipped DIII-D-like deck and nine IDA DIII-D reconstructions), this moves the limit outward by 1.2e-3 to 4.6e-3 in psi, which is consistently one rational surface. The symmetric alternative, psi[k-1] + w[k-1]/2, is not usable: it exceeds psi = 1 on four of the ten, and on those same four it also overshoots surface k, the layer half-widths there being larger than the surface separation. Also refreshes four docstrings left stale by earlier revisions: the psihigh field described a "smaller of the two" rule the code no longer uses, psihigh_dr was undocumented, the psi_cap note described a finite-difference stencil clamp removed with the analytic radial_label derivatives, and the finite-width guard cited the same defunct rule. Co-Authored-By: Claude Opus 5 --- src/Tearing/LayerOverlap.jl | 34 +++++++++++++++++++--------------- 1 file changed, 19 insertions(+), 15 deletions(-) diff --git a/src/Tearing/LayerOverlap.jl b/src/Tearing/LayerOverlap.jl index 98f03f2d8..44cbd7039 100644 --- a/src/Tearing/LayerOverlap.jl +++ b/src/Tearing/LayerOverlap.jl @@ -60,9 +60,11 @@ dimensional error. strong shear near the separatrix forces every layer there into the DR regime - `extrapolated` -- true when the surface was located outside the equilibrium's ψ grid via the edge q-law - - `psihigh_delta_s`, `psihigh_visco` -- domain implied by each width channel, - `nothing` when that channel never overlaps within the scanned range - - `psihigh` -- the recommendation: the smaller of the two, or `nothing` + - `psihigh_delta_s`, `psihigh_visco`, `psihigh_dr` -- domain implied by each width + channel, `nothing` when that channel never overlaps within the scanned range + - `psihigh` -- the recommendation, equal to `psihigh_dr`: the DR width is the criterion + (Sect. 5.6 puts every near-separatrix layer in that regime). The other two channels are + reported for comparison and do not set the domain - `first_overlap` -- index of the first surface that overlaps its inner neighbour, `nothing` when none do - `notes` -- surfaces that were located but could not be scored, and why @@ -151,10 +153,9 @@ same resistivity closure as the SLAYER analysis itself. missing an overlap that lies further out than the cap. Inverse equilibria ignore it: they have a prescribed boundary and the search runs to ψ = 1 on the real q. - Note the accuracy limit here is **not** `psi_cap` but `surface_da_dpsi`, which clamps its - finite-difference stencil to `1 - 1e-4`; surfaces closer than that to the boundary get - geometry evaluated at `1 - 1e-4` rather than at their own ψ (da/dψ = 0.348729 identically - for every ψ beyond it on the DIII-D-like deck). Their widths are therefore approximate + Geometry is evaluated at each surface's own ψ: `radial_label` derivatives are analytic + and valid under extrapolation, so no stencil clamp limits how close to the boundary a + width can be taken - `extrapolate` -- search past `psihigh_safe` on the edge q-law (default `true`) - `theta` -- poloidal angle for the minor-radius chord (default `0.0`) - `mu_i`, `zeff`, `chi_perp`, `chi_tor`, `resistivity_model`, `lnLambda_form` @@ -308,10 +309,9 @@ function resistive_layer_overlap(equil, profiles::KineticProfiles; push!(notes, "m=$(s.m) at ψ=$(@sprintf("%.6f", s.psi)): del_s Riccati did not converge") continue end - # Both widths must be finite. A NaN delta_visco would compare false against every - # neighbour in _first_overlap_limit, so the viscous criterion would silently report "no - # overlap" and `recommended` would quietly lose its more conservative half -- biasing the - # domain outward, which is the unsafe direction. + # Both widths must be finite. A NaN width compares false against every neighbour in + # _first_overlap_limit, so that channel would silently report "no overlap" rather than + # showing a gap -- the reported comparison between channels would be quietly wrong. if !isfinite(lw.delta_dr) push!(notes, "m=$(s.m) at ψ=$(@sprintf("%.6f", s.psi)): Eq. (100) width is not finite; " * "surface excluded so the DR criterion cannot fail open") @@ -348,13 +348,17 @@ function resistive_layer_overlap(equil, profiles::KineticProfiles; ph_dels, ph_visc, ph_dr, recommended, k_dr, notes) end -# Walk outward and return (recommended psihigh, index of first overlapping surface). -# Overlap at k means surfaces k and k-1 are both contaminated, so the domain is cut -# at the inner edge of k-1. +# Walk outward and return (recommended psilim, index of first overlapping surface). +# Overlap at k puts the inner boundary of the overlap region at surface k-1, and the domain +# limit is that surface's own position -- Fitzpatrick (2025) Sect. 5.9 retains the rational +# surfaces in 0 < psi < 1 - eps_c, and psi[k-1] is 1 - eps_c. Deliberately not psi[k-1] -+ +# w[k-1]/2: subtracting drops the last clean surface the paper keeps, and adding can exceed +# psi = 1 (measured on 4 of 10 real DIII-D reconstructions, where it also overshoots surface +# k itself, the layers there being wider than their separation). function _first_overlap_limit(psi::Vector{Float64}, w::Vector{Float64}) for k in 2:length(psi) if psi[k] - w[k] / 2 < psi[k-1] + w[k-1] / 2 - return (psi[k-1] - w[k-1] / 2, k) + return (psi[k-1], k) end end return (nothing, nothing) From c9569c0ec821a35ed7aab5cabc58e472818b3ebb Mon Sep 17 00:00:00 2001 From: d-burg Date: Thu, 27 Aug 2026 18:47:38 -0400 Subject: [PATCH 11/13] ForceFreeStates - FEATURE - Cap the integration domain at the resistive-layer overlap point Wires the resistive-layer overlap scan into the stability workflow. The scan runs whenever kinetic profiles are readable and its result is always recorded under ForceFreeStates/LayerOverlap/, so a run shows where layer physics would cut the domain whether or not it did. The cap is applied only under the new opt-in ForceFreeStates control psilim_from_layer_overlap (default false). Architecture as agreed on the PR: an upper bound on qlim at the top of sing_lim!, so dmlim / qhigh still select the final surface from inside it and a bound beyond psihigh is inert by construction. Nothing re-forms the equilibrium. Profiles are taken from whichever of [KineticForces] kinetic_file or [SLAYER] profile_file exists on disk -- the shipped DIII-D SLAYER deck carries only the latter, so keying on the NTV path alone would have left the feature dead on the one deck it matters for. The scan is driven at rs_method = :flux rather than the SLAYER default. Eq. (100) is not covariant and is anchored to the toroidal-flux label of the paper's Eq. (30); running it in the midplane label would apply the formula in a coordinate it was not derived in. Verified end to end on the DIII-D-like SLAYER deck. At its shipped psihigh = 0.9995 the overlap point (0.999695) lies outside the domain, so the scan is recorded with applied = 0 and nothing moves. Raising psihigh to 0.99995 makes it bind: qlim 8.536 -> 8.000 at psi 0.999756, dmlim then selects 7.200 from inside it and the q = 8 surface is filtered out. Co-Authored-By: Claude Opus 5 --- src/ForceFreeStates/CoreTypes.jl | 2 + src/GeneralizedPerturbedEquilibrium.jl | 95 ++++++++++++++++++++-- src/HDF5Schema.jl | 27 ++++++ test/runtests_layer_overlap_fitzpatrick.jl | 45 ++++++++++ 4 files changed, 161 insertions(+), 8 deletions(-) diff --git a/src/ForceFreeStates/CoreTypes.jl b/src/ForceFreeStates/CoreTypes.jl index 98d4807e1..cbce9f841 100644 --- a/src/ForceFreeStates/CoreTypes.jl +++ b/src/ForceFreeStates/CoreTypes.jl @@ -135,6 +135,7 @@ gpec.toml. - `numunorms_init::Int` - Initial array size for solution normalization data - `singfac_min::Float64` - Fractional distance from rational q at which ideal jump condition is enforced - `set_psilim_via_dmlim::Bool` - Truncate the integration domain at `(last_rational_q + dmlim) / n` rather than at `qhigh` / `psihigh`. Fortran STRIDE found that truncating ~20 % above the outermost rational (`dmlim = 0.2`) avoids a numerical kink instability in δW that appears when the integration ends too close to or just below a rational surface. **For diverted equilibria where q → ∞ at the separatrix** (e.g. DIII-D geqdsks, the bulk of production use) this costs negligible physical domain because rationals get arbitrarily dense near the LCFS — `set_psilim_via_dmlim = true` is the safe and recommended default. **For limited circular / analytical equilibria with finite q at the edge** (Solovev, LAR scans), rationals are sparse and 20 % above the last rational chops off too much edge, so set `set_psilim_via_dmlim = false` and let `qhigh` / `psihigh` control the truncation. Multi-`n` runs are not supported by this truncation (the "outermost rational + dmlim / n" depends on which `n`); when `set_psilim_via_dmlim = true` with `nn_low != nn_high`, `sing_lim!` warns and falls back to `qhigh` / `psihigh`. Default `true`. + - `psilim_from_layer_overlap::Bool` - Cap the integration domain at the point where adjacent rational surfaces' resistive layers overlap, after Fitzpatrick, Nucl. Fusion 2025 Sect. 5.9. Past that point no surface retains a well-separated inner region, so the matched-asymptotic treatment is not defined there. Applied as an upper bound on `qlim` at the top of `sing_lim!`, so `dmlim` / `qhigh` still select the final surface from inside it, and a bound beyond `psihigh` is inert. The scan needs kinetic profiles and is run whenever they are readable — its result is recorded under `ForceFreeStates/LayerOverlap/` regardless of this flag, so a run always shows whether layer physics would have constrained the domain. Single-`n` only, like `dmlim`. Default `false`. - `dmlim::Float64` - Distance beyond last rational surface (normalised ∈ [0,1) in units of 1/n). Only used when `set_psilim_via_dmlim` is true. Fortran STRIDE convention is 0.2 (truncate 20 % of one rational-surface spacing above the last surface), retained here. - `sing_order::Int` - Order of singular layer (Frobenius) expansion at rational surfaces. Default 6 (Fortran STRIDE convention for Δ' calculations; lower values trade accuracy for speed). - `qhigh::Float64` - Integration terminated at q limit determined by minimum of qhigh and qa from equil @@ -172,6 +173,7 @@ gpec.toml. numunorms_init::Int = 100 singfac_min::Float64 = 1e-4 # Matches Fortran STRIDE; required nonzero for the Riccati path. set_psilim_via_dmlim::Bool = true # Safe default for diverted equilibria (most production use); set false for limited/analytical (LAR, Solovev). Auto-skipped for multi-n. See docstring. + psilim_from_layer_overlap::Bool = false # Cap psilim where adjacent resistive layers overlap. Opt-in; the scan is recorded either way. See docstring. dmlim::Float64 = 0.2 sing_order::Int = 6 qhigh::Float64 = 1e3 diff --git a/src/GeneralizedPerturbedEquilibrium.jl b/src/GeneralizedPerturbedEquilibrium.jl index f2ed4ef65..001f49f46 100755 --- a/src/GeneralizedPerturbedEquilibrium.jl +++ b/src/GeneralizedPerturbedEquilibrium.jl @@ -241,7 +241,9 @@ function main_from_inputs( ffs_start = time() locstab, ballooning_boundary = run_local_stability(ctrl, equil) - metric, mats = prepare_force_free_states!(intr, ctrl, equil, kf_ctrl, kinetic_profiles; species=kf_species) + metric, mats, layer_overlap = prepare_force_free_states!(intr, ctrl, equil, kf_ctrl, kinetic_profiles; + species=kf_species, + overlap_profile_file=_overlap_profile_path(inputs, kf_ctrl, intr.dir_path)) ffs_result = run_force_free_states(ctrl, equil, mats, intr, metric) if ctrl.write_outputs_to_HDF5 @@ -251,7 +253,8 @@ function main_from_inputs( inputs=inputs, forcing_modes=forcing_modes_snapshot, locstab=locstab, - ballooning_boundary=ballooning_boundary + ballooning_boundary=ballooning_boundary, + layer_overlap=layer_overlap ) @info "Results written to $(ctrl.HDF5_filename)" end @@ -479,8 +482,50 @@ function run_local_stability(ctrl::ForceFreeStatesControl, equil::Equilibrium.Pl return locstab, ballooning_boundary end +# Kinetic profiles for the overlap scan can come from either the NTV path +# (`[KineticForces] kinetic_file`) or the tearing path (`[SLAYER] profile_file`); the shipped +# DIII-D SLAYER deck carries only the latter. Prefer whichever exists on disk. +function _overlap_profile_path(inputs, kf_ctrl::KineticForces.KineticForcesControl, dir_path::AbstractString) + _resolve(f) = isempty(f) ? nothing : (isabspath(f) ? String(f) : joinpath(dir_path, f)) + for cand in (_resolve(kf_ctrl.kinetic_file), + (inputs isa AbstractDict && haskey(inputs, "SLAYER")) ? + _resolve(get(inputs["SLAYER"], "profile_file", "")) : nothing) + cand !== nothing && isfile(cand) && return cand + end + return nothing +end + +# Run the resistive-layer overlap scan for the run's toroidal mode number, or return `nothing` +# when it cannot be run (no kinetic file, multi-n, or the scan itself refuses). Reads the kinetic +# file directly rather than reusing `kinetic_profiles`, which is a `KineticProfileSplines` built +# for the NTV path and carries a different field set than the layer builders take. +function _layer_overlap_scan(path::Union{Nothing,AbstractString}, + intr::ForceFreeStatesInternal, equil::Equilibrium.PlasmaEquilibrium) + (path === nothing || !isfile(path)) && return nothing + if intr.nlow != intr.nhigh + @info "Layer-overlap scan skipped: the overlap point depends on n, and this is a multi-n run (nn_low=$(intr.nlow), nn_high=$(intr.nhigh))." + return nothing + end + try + data = Equilibrium.read_kinetic_file(path) + (data.n_e === nothing || data.T_e === nothing || data.T_i === nothing) && return nothing + npsi = length(data.psi) + omega = data.omega_E === nothing ? zeros(npsi) : collect(Float64, data.omega_E) + profiles = Utilities.KineticProfiles(; psi=collect(Float64, data.psi), + n_e=collect(Float64, data.n_e), T_e=collect(Float64, data.T_e), + T_i=collect(Float64, data.T_i), omega=omega, + omega_e=zeros(npsi), omega_i=zeros(npsi)) + # Eq. (100) is not covariant -- it is anchored to the toroidal-flux label of the paper's + # Eq. (30), so the scan is driven in that label regardless of the SLAYER default. + return Tearing.resistive_layer_overlap(equil, profiles; n_tor=intr.nlow, rs_method=:flux) + catch err + @warn "Layer-overlap scan failed; the integration domain is untouched." exception = err + return nothing + end +end + """ - prepare_force_free_states!(intr, ctrl, equil, kf_ctrl, kinetic_profiles) -> (metric, mats) + prepare_force_free_states!(intr, ctrl, equil, kf_ctrl, kinetic_profiles) -> (metric, mats, overlap) Set up the force-free-states solve on `intr`: integration limits, the surviving singular surfaces and their GGJ coefficients, the poloidal mode range, and the metric plus @@ -492,10 +537,21 @@ function prepare_force_free_states!( equil::Equilibrium.PlasmaEquilibrium, kf_ctrl::KineticForces.KineticForcesControl, kinetic_profiles; - species=nothing + species=nothing, + overlap_profile_file::Union{Nothing,AbstractString}=nothing ) + # Resistive-layer overlap: locate where adjacent rational surfaces' layers run into each + # other, and use it as an upper bound on the integration domain. The scan runs whenever + # kinetic profiles are readable so `ForceFreeStates/LayerOverlap/` always records the point, + # but it only constrains the domain when the user opts in. + overlap = _layer_overlap_scan(overlap_profile_file, intr, equil) + psilim_cap = (ctrl.psilim_from_layer_overlap && overlap !== nothing) ? overlap.psihigh : nothing + if ctrl.psilim_from_layer_overlap && overlap === nothing + @warn "psilim_from_layer_overlap = true but no layer-overlap scan was available; the domain is untouched." + end + # Determine psilim and qlim (where we will integrate to) - sing_lim!(intr, ctrl, equil) + sing_lim!(intr, ctrl, equil; psilim_cap=psilim_cap) # Find all singular surfaces in the equilibrium sing_find!(intr, equil) @@ -594,7 +650,7 @@ function prepare_force_free_states!( end end - return metric, mats + return metric, mats, overlap end """ @@ -776,7 +832,7 @@ function solve(prob::EulerLagrangeProblem, alg::ForceFreeStates.AbstractIntegrat end locstab, ballooning_boundary = run_local_stability(ctrl, equil) - metric, mats = prepare_force_free_states!(intr, ctrl, equil, kf_ctrl, nothing) + metric, mats, _ = prepare_force_free_states!(intr, ctrl, equil, kf_ctrl, nothing) result = run_force_free_states(ctrl, equil, mats, intr, metric) if ctrl.write_outputs_to_HDF5 @@ -1051,7 +1107,8 @@ function write_outputs_to_HDF5( inputs::Union{Nothing,Dict{String,Any}}=nothing, forcing_modes::Union{Nothing,Vector{ForcingTerms.ForcingMode}}=nothing, locstab::Union{FastInterpolations.CubicSeriesInterpolant,Nothing}=nothing, - ballooning_boundary=(psi=Float64[], alpha=Float64[], alpha_critical=Float64[]) + ballooning_boundary=(psi=Float64[], alpha=Float64[], alpha_critical=Float64[]), + layer_overlap=nothing ) ctrl = result.control @@ -1173,6 +1230,28 @@ function write_outputs_to_HDF5( out_h5["LocalStability/alpha"] = ballooning_boundary.alpha out_h5["LocalStability/alpha_critical"] = ballooning_boundary.alpha_critical + # Resistive-layer overlap scan. Written whenever the scan ran, whether or not it + # constrained the domain, so a run always shows where layer physics would have cut. + if layer_overlap !== nothing + lo = layer_overlap + out_h5["ForceFreeStates/LayerOverlap/m"] = lo.m + out_h5["ForceFreeStates/LayerOverlap/n"] = lo.n + out_h5["ForceFreeStates/LayerOverlap/psi"] = lo.psi + out_h5["ForceFreeStates/LayerOverlap/r_s"] = lo.rs + out_h5["ForceFreeStates/LayerOverlap/delta_s_abs"] = lo.delta_s_m + out_h5["ForceFreeStates/LayerOverlap/width_delta_s"] = lo.width_delta_s + out_h5["ForceFreeStates/LayerOverlap/width_visco"] = lo.width_visco + out_h5["ForceFreeStates/LayerOverlap/width_dr"] = lo.width_dr + out_h5["ForceFreeStates/LayerOverlap/extrapolated"] = Int.(lo.extrapolated) + out_h5["ForceFreeStates/LayerOverlap/psilim_overlap"] = + lo.psihigh === nothing ? NaN : lo.psihigh + out_h5["ForceFreeStates/LayerOverlap/first_overlap_index"] = + lo.first_overlap === nothing ? -1 : lo.first_overlap + out_h5["ForceFreeStates/LayerOverlap/applied"] = + Int(ctrl.psilim_from_layer_overlap && lo.psihigh !== nothing && + lo.psihigh < equil.params.psihigh_resolved) + end + # Write integration data: the ψ trace and integrator diagnostics from the raw ODE state, # the ξ profiles from the solution. Either may be absent (Galerkin has no ODE state; # Riccati has no ξ solution), in which case the datasets are written empty. diff --git a/src/HDF5Schema.jl b/src/HDF5Schema.jl index 274f54f14..7944909c5 100644 --- a/src/HDF5Schema.jl +++ b/src/HDF5Schema.jl @@ -134,6 +134,33 @@ const MAIN_H5_ANNOTATIONS = [ (; long_name="Glasser-Greene-Johnson resistive interchange criterion D_R", dims=("psi",), attach=(1 => "LocalStability/psi",)), "LocalStability/ballooning_Delta_prime" => (; long_name="high-n ballooning Δ' (distinct from the tearing Δ')", dims=("psi",), attach=(1 => "LocalStability/psi",)), + # Resistive-layer overlap scan (Fitzpatrick, Nucl. Fusion 2025, Sect. 5.9). Its own surface + # axis: the list includes surfaces extrapolated beyond the integration domain, so it does not + # align with the SingularSurfaces/ axis. + "ForceFreeStates/LayerOverlap/psi" => + (; long_name="rational-surface location scanned for resistive-layer overlap", scale="surface_overlap"), + "ForceFreeStates/LayerOverlap/m" => + (; long_name="poloidal mode number of each scanned surface", dims=("surface_overlap",), attach=(1 => "ForceFreeStates/LayerOverlap/psi",)), + "ForceFreeStates/LayerOverlap/n" => + (; long_name="toroidal mode number of each scanned surface", dims=("surface_overlap",), attach=(1 => "ForceFreeStates/LayerOverlap/psi",)), + "ForceFreeStates/LayerOverlap/r_s" => + (; long_name="minor radius of each scanned surface in the Fitzpatrick flux label", units="m", dims=("surface_overlap",), attach=(1 => "ForceFreeStates/LayerOverlap/psi",)), + "ForceFreeStates/LayerOverlap/delta_s_abs" => + (; long_name="Riccati resistive layer thickness |δ_s|", units="m", dims=("surface_overlap",), attach=(1 => "ForceFreeStates/LayerOverlap/psi",)), + "ForceFreeStates/LayerOverlap/width_delta_s" => + (; long_name="|δ_s| expressed as a normalized-flux width", dims=("surface_overlap",), attach=(1 => "ForceFreeStates/LayerOverlap/psi",)), + "ForceFreeStates/LayerOverlap/width_visco" => + (; long_name="visco-resistive comparison scale as a normalized-flux width", dims=("surface_overlap",), attach=(1 => "ForceFreeStates/LayerOverlap/psi",)), + "ForceFreeStates/LayerOverlap/width_dr" => + (; long_name="diffusive-resistive layer width (Fitzpatrick 2025 Eq. 100) as a normalized-flux width; the channel the criterion uses", dims=("surface_overlap",), attach=(1 => "ForceFreeStates/LayerOverlap/psi",)), + "ForceFreeStates/LayerOverlap/extrapolated" => + (; long_name="1 where the surface was located beyond the equilibrium grid via the separatrix edge q-law", dims=("surface_overlap",), attach=(1 => "ForceFreeStates/LayerOverlap/psi",)), + "ForceFreeStates/LayerOverlap/psilim_overlap" => + (; long_name="domain limit implied by the first layer overlap, at the last surface with a well-separated inner region (NaN when no overlap was found in range)"), + "ForceFreeStates/LayerOverlap/first_overlap_index" => + (; long_name="index into this group's surface axis of the first surface overlapping its inner neighbour (-1 when none do)"), + "ForceFreeStates/LayerOverlap/applied" => + (; long_name="1 when the overlap limit actually constrained the integration domain; 0 when recorded only"), "LocalStability/ballooning_psi" => (; long_name="normalized poloidal flux ψ_N of the ballooning α boundary scan", scale="psi_ballooning"), "LocalStability/alpha" => diff --git a/test/runtests_layer_overlap_fitzpatrick.jl b/test/runtests_layer_overlap_fitzpatrick.jl index 21b1efb50..d875d9a2c 100644 --- a/test/runtests_layer_overlap_fitzpatrick.jl +++ b/test/runtests_layer_overlap_fitzpatrick.jl @@ -127,3 +127,48 @@ # The overlap region must move inward with n, which is the paper's reported scaling. @test psi4 < psi1 end + +# Wiring of the overlap cap into the integration domain. The scan itself is checked against the +# paper above; this checks that the cap reaches `sing_lim!` and behaves as an upper bound. +@testset "Layer-overlap cap wiring" begin + using GeneralizedPerturbedEquilibrium.ForceFreeStates: sing_lim!, ForceFreeStatesInternal, + ForceFreeStatesControl + using GeneralizedPerturbedEquilibrium.Equilibrium + using TOML + + dir_path = joinpath(dirname(@__DIR__), "examples", "Solovev_ideal_example") + inputs = TOML.parsefile(joinpath(dir_path, "gpec.toml")) + equil = Equilibrium.setup_equilibrium( + Equilibrium.EquilibriumConfig(inputs["Equilibrium"], dir_path), + Equilibrium.SolovevConfig(inputs["SOL_INPUT"])) + + _fresh() = (i = ForceFreeStatesInternal(); i.nlow = 1; i.nhigh = 1; i) + ctrl = ForceFreeStatesControl(; set_psilim_via_dmlim=false, qhigh=1e3) + + # Baseline: no cap. + base = _fresh() + sing_lim!(base, ctrl, equil) + + # A cap inside the domain must pull qlim down and move psilim inward. + inside = _fresh() + cap = 0.5 * (equil.profiles.xs[1] + base.psilim) + sing_lim!(inside, ctrl, equil; psilim_cap=cap) + @test inside.qlim < base.qlim + @test inside.psilim < base.psilim + @test isapprox(inside.psilim, cap; rtol=1e-6) + + # A cap beyond psihigh is inert by construction -- the bound never widens the domain. + beyond = _fresh() + sing_lim!(beyond, ctrl, equil; psilim_cap=base.psilim + 1e-3) + @test beyond.qlim == base.qlim + @test beyond.psilim == base.psilim + + # nothing is the same as not passing it at all. + none = _fresh() + sing_lim!(none, ctrl, equil; psilim_cap=nothing) + @test none.qlim == base.qlim + @test none.psilim == base.psilim + + # The control flag exists and is opt-in. + @test ForceFreeStatesControl().psilim_from_layer_overlap == false +end From c02a3c43d5b8890877fe00d47e99f3885ccff29a Mon Sep 17 00:00:00 2001 From: d-burg Date: Fri, 28 Aug 2026 13:23:51 -0400 Subject: [PATCH 12/13] Tearing - BUGFIX - Return an empty scan instead of throwing when no rational surfaces are found The no-surface early return built LayerOverlapScan with 13 arguments for a 15-field struct (width_dr and first_overlap missing), a MethodError the pipeline's catch downgraded to a spurious scan-failure warning. Also make the JET reproduction fail loudly when its alpha fixed point or Psi=1.05 bracket degenerates instead of proceeding on a silent fallback, document the rs_method and max_layer_solves kwargs, and compress the investigation narratives to the reasoning they support. Co-Authored-By: Claude Fable 5 --- src/Tearing/LayerOverlap.jl | 67 +++++++++------------- test/runtests_layer_overlap_fitzpatrick.jl | 25 +++++++- 2 files changed, 49 insertions(+), 43 deletions(-) diff --git a/src/Tearing/LayerOverlap.jl b/src/Tearing/LayerOverlap.jl index 44cbd7039..1aac9e572 100644 --- a/src/Tearing/LayerOverlap.jl +++ b/src/Tearing/LayerOverlap.jl @@ -17,11 +17,9 @@ # Surfaces beyond the equilibrium's own ψ grid are located on the separatrix edge # law q ≈ -A·ln(1-ψ), via the shared `Equilibrium.edge_q_law` helper that also gates # the grid-refinement edge density model -- one statement of the model, one fit, one -# limited-plasma guard. The log form is the only one that survives the -# extrapolation: a cubic in ψ (on q or on ι = 1/q) saturates instead of diverging. Measured on the DIII-D-like deck, extrapolating -# from a grid ending at ψ=0.97 to the true q=8 surface at ψ=0.99976, the edge law -# lands within 5% while a cubic ι undershoots by 18% — enough to miss the surface -# entirely and report no overlap where there is one. +# limited-plasma guard. The log form is the only one that survives the extrapolation: +# a polynomial in ψ (on q or on ι = 1/q) saturates instead of diverging, undershooting +# the outermost surfaces enough to report no overlap where there is one. # # The extrapolated surfaces inform the *choice* of domain only; the final # equilibrium is always re-formed and solved on the accepted domain. @@ -137,27 +135,25 @@ same resistivity closure as the SLAYER analysis itself. - `n_tor` -- toroidal mode number; surfaces are q = m/`n_tor` - - `m_max` -- runaway backstop on the poloidal mode number (default `2000`). This is **not** - the physics limit: the outward search terminates when the edge law places a surface at or - beyond `psi_cap`, i.e. when it is indistinguishable from the separatrix. On a diverted - equilibrium rational surfaces accumulate without bound toward ψ = 1, so some cap is needed, - but it should never be what stops the scan — if it is, the scan says so in `notes`, because - "no overlap found" would otherwise be reported for a non-physical reason + - `m_max` -- runaway backstop on the poloidal mode number (default `2000`), **not** the + physics limit: the outward search should terminate at `psi_cap` (indistinguishable from + the separatrix), and if `m_max` is what stops it instead, the scan says so in `notes` + because "no overlap found" would then rest on a non-physical cutoff + - `max_layer_solves` -- bound on how many surfaces get a Riccati layer solve (default `64`, + innermost kept). The first overlap decides the answer, so surfaces far beyond it only cost + time; when the bound bites, `notes` records that a "no overlap" verdict is inconclusive - `psihigh_safe` -- treat this as the outer edge of trusted equilibrium data (default `equil.profiles.xs[end]`) - `psi_cap` -- never place a surface beyond this ψ on the **direct** path (default - `1 - 1e-9`). Purely numerical: it is not derived from the contour clamp or from any topology - test, and it stops the outward search from crowding indefinitely onto ψ = 1 where surfaces - become indistinguishable. Loosening it is cheap (1e-6 → 1e-9 adds ~5 surfaces on the - DIII-D-like deck at no measurable cost and does not change the answer) and guards against - missing an overlap that lies further out than the cap. Inverse equilibria ignore it: they - have a prescribed boundary and the search runs to ψ = 1 on the real q. - - Geometry is evaluated at each surface's own ψ: `radial_label` derivatives are analytic - and valid under extrapolation, so no stencil clamp limits how close to the boundary a - width can be taken + `1 - 1e-9`, purely numerical: it stops the outward search from crowding indefinitely onto + ψ = 1 where surfaces become indistinguishable). Inverse equilibria ignore it: they have a + prescribed boundary and the search runs to ψ = 1 on the real q. Geometry needs no clamp of + its own -- `radial_label` derivatives are analytic and valid under extrapolation - `extrapolate` -- search past `psihigh_safe` on the edge q-law (default `true`) - `theta` -- poloidal angle for the minor-radius chord (default `0.0`) + - `rs_method` -- radial label the widths and their ψ-conversion Jacobian are taken in + (default `:midplane`; see `radial_label`). The caller wiring this scan into the domain + truncation passes `:flux`, the label Fitzpatrick Eq. (100) is anchored to - `mu_i`, `zeff`, `chi_perp`, `chi_tor`, `resistivity_model`, `lnLambda_form` -- passed through to `build_slayer_inputs` @@ -252,17 +248,14 @@ function resistive_layer_overlap(equil, profiles::KineticProfiles; end isempty(found) && return LayerOverlapScan(Int[], Int[], Float64[], Float64[], Float64[], Float64[], - Float64[], Bool[], nothing, nothing, nothing, nothing, + Float64[], Float64[], Bool[], nothing, nothing, nothing, nothing, nothing, push!(notes, "no q = m/$n_tor surfaces found")) ms, ns, psis, rss = Int[], Int[], Float64[], Float64[] dels_m, w_dels, w_visc, w_dr, extraps = Float64[], Float64[], Float64[], Float64[], Bool[] - # Overlap is decided by the first crossing walking outward, so surfaces far beyond it cannot - # change the answer -- but each one costs a Riccati layer solve, and this scan runs whenever - # kinetic profiles are readable, flag or no flag. Bound the work rather than only the m index, - # and say so when the bound bites, since a "no overlap" verdict from a truncated list is not - # conclusive. + # Bound the per-surface Riccati work, and say so when the bound bites: a "no overlap" + # verdict from a truncated list is not conclusive. if length(found) > max_layer_solves push!(notes, "surface list truncated from $(length(found)) to the innermost $max_layer_solves for " * @@ -309,17 +302,14 @@ function resistive_layer_overlap(equil, profiles::KineticProfiles; push!(notes, "m=$(s.m) at ψ=$(@sprintf("%.6f", s.psi)): del_s Riccati did not converge") continue end - # Both widths must be finite. A NaN width compares false against every neighbour in - # _first_overlap_limit, so that channel would silently report "no overlap" rather than - # showing a gap -- the reported comparison between channels would be quietly wrong. + # Every width channel must be finite: a NaN width compares false against every + # neighbour in _first_overlap_limit, silently turning that channel into "no overlap". if !isfinite(lw.delta_dr) - push!(notes, "m=$(s.m) at ψ=$(@sprintf("%.6f", s.psi)): Eq. (100) width is not finite; " * - "surface excluded so the DR criterion cannot fail open") + push!(notes, "m=$(s.m) at ψ=$(@sprintf("%.6f", s.psi)): Eq. (100) width is not finite; surface excluded") continue end if !isfinite(lw.delta_visco) - push!(notes, "m=$(s.m) at ψ=$(@sprintf("%.6f", s.psi)): viscous width is not finite; " * - "surface excluded so the viscous criterion cannot fail open") + push!(notes, "m=$(s.m) at ψ=$(@sprintf("%.6f", s.psi)): viscous width is not finite; surface excluded") continue end @@ -349,12 +339,9 @@ function resistive_layer_overlap(equil, profiles::KineticProfiles; end # Walk outward and return (recommended psilim, index of first overlapping surface). -# Overlap at k puts the inner boundary of the overlap region at surface k-1, and the domain -# limit is that surface's own position -- Fitzpatrick (2025) Sect. 5.9 retains the rational -# surfaces in 0 < psi < 1 - eps_c, and psi[k-1] is 1 - eps_c. Deliberately not psi[k-1] -+ -# w[k-1]/2: subtracting drops the last clean surface the paper keeps, and adding can exceed -# psi = 1 (measured on 4 of 10 real DIII-D reconstructions, where it also overshoots surface -# k itself, the layers there being wider than their separation). +# Overlap at k contaminates both k and k-1, so the limit is surface k-1's own position +# (Fitzpatrick 2025 Sect. 5.9 retains 0 < psi < 1 - eps_c with psi[k-1] as 1 - eps_c); +# offsetting by ±w[k-1]/2 either drops the last clean surface or can exceed psi = 1. function _first_overlap_limit(psi::Vector{Float64}, w::Vector{Float64}) for k in 2:length(psi) if psi[k] - w[k] / 2 < psi[k-1] + w[k-1] / 2 diff --git a/test/runtests_layer_overlap_fitzpatrick.jl b/test/runtests_layer_overlap_fitzpatrick.jl index d875d9a2c..aaf0ea198 100644 --- a/test/runtests_layer_overlap_fitzpatrick.jl +++ b/test/runtests_layer_overlap_fitzpatrick.jl @@ -26,6 +26,7 @@ psi_raw(r, am, ap) = quadgk(x -> x / q_any(x, am, ap), 0.0, r; rtol=1e-11)[1] am, ap = 1.0, 1.0 + fp_converged = false for _ in 1:200 psi_sep = psi_raw(1.0 - 1e-12, am, ap) r95 = find_zero(r -> psi_raw(r, am, ap) / psi_sep - 0.95, (0.5, 1 - 1e-9), Bisection()) @@ -34,13 +35,15 @@ while hi < 1.40 && f105(hi) < 0 # q_out turns negative past r = sqrt(2) hi += 0.005 end - r105 = hi >= 1.40 ? 1.20 : find_zero(f105, (1 + 1e-9, hi), Bisection()) + hi < 1.40 || error("Fitzpatrick JET model: failed to bracket the Psi = 1.05 surface before q_out degenerates") + r105 = find_zero(f105, (1 + 1e-9, hi), Bisection()) am_new = -(Q95 - Q0) / log(1 - r95^2) ap_new = -Q105 / log(r105^2 - 1) - converged = abs(am_new - am) < 1e-12 && abs(ap_new - ap) < 1e-12 + fp_converged = abs(am_new - am) < 1e-12 && abs(ap_new - ap) < 1e-12 am, ap = am_new, ap_new - converged && break + fp_converged && break end + fp_converged || error("Fitzpatrick JET model: the alpha-/alpha+ fixed point did not converge in 200 iterations") psi_sep = psi_raw(1.0 - 1e-12, am, ap) q_of(r) = q_any(r, am, ap) Psi_of(r) = r < 1 ? psi_raw(r, am, ap) / psi_sep : @@ -171,4 +174,20 @@ end # The control flag exists and is opt-in. @test ForceFreeStatesControl().psilim_from_layer_overlap == false + + # The no-surfaces path must return an empty scan with a note, not throw (m_max=0 with + # extrapolation off forces it deterministically). + @testset "resistive_layer_overlap: empty surface list" begin + using GeneralizedPerturbedEquilibrium: Tearing, Utilities + npsi = 8 + psi_grid = collect(range(0.0, 1.0; length=npsi)) + profs = Utilities.KineticProfiles(; psi=psi_grid, + n_e=fill(1.0e19, npsi), T_e=fill(500.0, npsi), T_i=fill(500.0, npsi), + omega=zeros(npsi), omega_e=zeros(npsi), omega_i=zeros(npsi)) + scan = Tearing.resistive_layer_overlap(equil, profs; n_tor=1, m_max=0, extrapolate=false) + @test scan isa Tearing.LayerOverlapScan + @test isempty(scan.psi) + @test scan.psihigh === nothing && scan.first_overlap === nothing + @test any(contains("no q ="), scan.notes) + end end From 6a75d0f50792bac9991a639c9fc73413049c9bd5 Mon Sep 17 00:00:00 2001 From: d-burg Date: Fri, 28 Aug 2026 13:23:51 -0400 Subject: [PATCH 13/13] ForceFreeStates - MINOR - Clarify the overlap-cap bookkeeping and scan-failure diagnostics The applied flag records that the bound entered sing_lim! as an active cap, not that it set the final psilim (dmlim/qhigh may truncate deeper) -- say so in the schema. Carry the backtrace in the scan-failure warning so a programming error is not indistinguishable from a physics refusal, and compress the edge-fit floor comment. Co-Authored-By: Claude Fable 5 --- src/Equilibrium/GridRefinement.jl | 9 +++------ src/GeneralizedPerturbedEquilibrium.jl | 4 +++- src/HDF5Schema.jl | 2 +- 3 files changed, 7 insertions(+), 8 deletions(-) diff --git a/src/Equilibrium/GridRefinement.jl b/src/Equilibrium/GridRefinement.jl index b5a1accee..a600f12d5 100644 --- a/src/Equilibrium/GridRefinement.jl +++ b/src/Equilibrium/GridRefinement.jl @@ -60,12 +60,9 @@ const THETA_STRIDE = 8 # --- shared separatrix edge q-law ------------------------------------------------------------- # Minimum knots in the edge band before a fit is attempted. const EDGE_FIT_MIN_KNOTS = 4 -# Weak absolute floor on the diverging fit. The discrimination is done by the r2_log > r2_linear -# comparison below, not by this number: measured EFIT/CAKE reconstructions of diverted DIII-D -# plasmas fit the log law at r2 = 0.929-0.977 (reconstruction noise in the edge q), which overlaps -# the 0.972 of the limited a10 fixed-boundary deck, so no absolute threshold separates the two -# classes. The relative test does separate them cleanly (diverted 0.96 vs 0.75 linear; Solovev -# 0.760 vs 0.9996 linear). This floor only rejects fits that describe nothing at all. +# Weak absolute floor on the diverging fit. The discrimination is the relative +# r2_log > r2_linear comparison below (no absolute threshold separates diverted from limited +# edges); this floor only rejects fits that describe nothing at all. const EDGE_FIT_MIN_R2 = 0.90 # Least-squares slope and coefficient of determination for y = a + b*x. diff --git a/src/GeneralizedPerturbedEquilibrium.jl b/src/GeneralizedPerturbedEquilibrium.jl index 001f49f46..6bca04ea0 100755 --- a/src/GeneralizedPerturbedEquilibrium.jl +++ b/src/GeneralizedPerturbedEquilibrium.jl @@ -519,7 +519,7 @@ function _layer_overlap_scan(path::Union{Nothing,AbstractString}, # Eq. (30), so the scan is driven in that label regardless of the SLAYER default. return Tearing.resistive_layer_overlap(equil, profiles; n_tor=intr.nlow, rs_method=:flux) catch err - @warn "Layer-overlap scan failed; the integration domain is untouched." exception = err + @warn "Layer-overlap scan failed; the integration domain is untouched." exception = (err, catch_backtrace()) return nothing end end @@ -1247,6 +1247,8 @@ function write_outputs_to_HDF5( lo.psihigh === nothing ? NaN : lo.psihigh out_h5["ForceFreeStates/LayerOverlap/first_overlap_index"] = lo.first_overlap === nothing ? -1 : lo.first_overlap + # "applied" records that the bound was active going into sing_lim!, not that it set + # the final psilim -- dmlim/qhigh may truncate deeper inside it. out_h5["ForceFreeStates/LayerOverlap/applied"] = Int(ctrl.psilim_from_layer_overlap && lo.psihigh !== nothing && lo.psihigh < equil.params.psihigh_resolved) diff --git a/src/HDF5Schema.jl b/src/HDF5Schema.jl index 7944909c5..b9d9a62b8 100644 --- a/src/HDF5Schema.jl +++ b/src/HDF5Schema.jl @@ -160,7 +160,7 @@ const MAIN_H5_ANNOTATIONS = [ "ForceFreeStates/LayerOverlap/first_overlap_index" => (; long_name="index into this group's surface axis of the first surface overlapping its inner neighbour (-1 when none do)"), "ForceFreeStates/LayerOverlap/applied" => - (; long_name="1 when the overlap limit actually constrained the integration domain; 0 when recorded only"), + (; long_name="1 when the overlap bound was handed to sing_lim! as an active cap on qlim (dmlim/qhigh may still truncate deeper); 0 when recorded only"), "LocalStability/ballooning_psi" => (; long_name="normalized poloidal flux ψ_N of the ballooning α boundary scan", scale="psi_ballooning"), "LocalStability/alpha" =>