Time step from the global stability bound, as in cymsim; Resume falls back to the element bound for older runs; accept output.probes
10 changed files+83−15
README.mdmodified+1−1View file
@@ -38,7 +38,7 @@ The bridge listens on `ws://localhost:8765` (127.0.0.1 only) and accepts connect
3838
3939 ## Speed
4040
41-At the default resolution (6 mm elements, about 4700 nodes, 54 sub-steps per audio sample) one second of sound is about 2.4 million sub-steps, or 4.8 million compute dispatches. On a discrete GPU this takes tens of seconds; on an integrated GPU several minutes. The chunk size adapts to keep about 0.4 s of wall time per chunk, so the spectrogram and the playback frontier advance a few times per second regardless of the hardware.
41+At the default resolution (6 mm elements, about 4700 nodes, 38 sub-steps per audio sample) one second of sound is about 1.7 million sub-steps, or 3.4 million compute dispatches. On a discrete GPU this takes tens of seconds; on an integrated GPU several minutes. The chunk size adapts to keep about 0.4 s of wall time per chunk, so the spectrogram and the playback frontier advance a few times per second regardless of the hardware.
4242
4343 ## Tests
4444
THEORY.mdmodified+4−4View file
@@ -4,7 +4,7 @@ The equations, the geometry, the finite elements and the time integration are th
44
55 ## 1. What is the same
66
7-The mesh is produced by the same algorithm (concentric rings, angular stitching, Laplacian smoothing) in float64 and agrees with the Python mesher to round-off. The DKT bending stiffness is the same element, with the derivatives of the rotation shape functions written out instead of obtained by automatic differentiation; the membrane strains use the CST gradients of the nodal displacements and of the nodal heights; the lumped mass, the inflated rotational inertia, the six M-orthonormal rigid modes, the Irons element bound on the stable time step and the number of sub-steps per audio sample are computed as in Python. The contact law, the patches, the release just above the moving surface, the two loss terms and the leapfrog update are the same. The imperfections are drawn from a different generator (xoshiro128** rather than numpy's PCG64), so a given seed produces a different dent pattern than in Python; the statistics are the same, and a dent-free geometry is identical in both.
7+The mesh is produced by the same algorithm (concentric rings, angular stitching, Laplacian smoothing) in float64 and agrees with the Python mesher to round-off. The DKT bending stiffness is the same element, with the derivatives of the rotation shape functions written out instead of obtained by automatic differentiation; the membrane strains use the CST gradients of the nodal displacements and of the nodal heights; the lumped mass, the inflated rotational inertia, the six M-orthonormal rigid modes, the stable time step (the global bound by the same power iteration as Python's, with the same start vector and stopping rule, or the Irons element bound when `numerics.stability_bound` is `element`) and the number of sub-steps per audio sample are computed as in Python. The contact law, the patches, the release just above the moving surface, the two loss terms and the leapfrog update are the same. The imperfections are drawn from a different generator (xoshiro128** rather than numpy's PCG64), so a given seed produces a different dent pattern than in Python; the statistics are the same, and a dent-free geometry is identical in both.
88
99 ## 2. The internal force without automatic differentiation
1010
@@ -58,9 +58,9 @@ Float32 is adequate for the leapfrog at these step sizes: the displacement incre
5858
5959 ## 6. Verification
6060
61-The tests compare three implementations pairwise on a coarse dent-free 18 inch profile (30 mm elements, 227 nodes, ten sub-steps per sample) with a 9.6 J mallet stroke, in the nonlinear and in the linear (reference) setting.
61+The tests compare three implementations pairwise on a coarse dent-free 18 inch profile (30 mm elements, 227 nodes, eight sub-steps per sample) with a 9.6 J mallet stroke, in the nonlinear and in the linear (reference) setting.
6262
63-TypeScript set-up against Python: the mesh is identical to round-off; the DKT stiffness agrees with the autodiff element to $10^{-9}$; mass, stability bound, limiting element, element stiffnesses, lumped masses and rigid modes agree to $10^{-8}$ or better; the contact patch (nodes, weights, offsets, stiffness, free contact time) agrees to $10^{-6}$.
63+TypeScript set-up against Python: the mesh is identical to round-off; the DKT stiffness agrees with the autodiff element to $10^{-9}$; mass, element stability bound, limiting element, element stiffnesses, lumped masses and rigid modes agree to $10^{-8}$ or better; the contact patch (nodes, weights, offsets, stiffness, free contact time) agrees to $10^{-6}$; the global stability bound agrees to $10^{-9}$ and stops at the same iteration.
6464
6565 CPU loop against Python (float64 both): in the linear run the peak force and rebound velocity agree to $10^{-5}$, the energies and max|w|/h to $10^{-4}$; in the nonlinear run, where the trajectory is sensitive, the same quantities agree to $10^{-3}$. The unbaffled and baffled pressures agree to $2$ to $3 \times 10^{-4}$ relative rms in both runs, and the recorded normal accelerations of individual nodes to about $10^{-4}$ (the test requires $10^{-3}$); the only remaining differences are the delay applied at sub-step resolution in Python against the 16-tap interpolator here, and the int16 quantisation of the record. The decimation taps agree to $10^{-16}$.
6666
@@ -78,7 +78,7 @@ A run can be saved at any time, complete or not, as a `.cymsim` file, an HDF5 fi
7878
7979 The acceleration record is the reason for the file: it is what another program needs to compute the sound of the simulated cymbal for listeners, rooms or radiation models other than the built-in one, and it must not be derived from stored displacements (a second difference multiplies noise by $\omega^2$ and folds the shell's ultrasonic content into the band). It is the same audio-rate normal acceleration that feeds the listener sum (section 4), quantised to int16 against one float32 scale per sample, so that a stroke's 90 dB of decay keeps its precision; the relative error of a node is at most $1.5 \times 10^{-5}$ of the sample's peak. The cost is $2 N f_s$ bytes per simulated second, about 0.4 GB per second at the default mesh, kept in memory in blocks as the chunks arrive; the app estimates the size before a run starts, warns above 1 GB and refuses above half the device memory (or 2 GB when the browser does not say). The chunk size is reduced so that a chunk's rows stay under 64 MB on the GPU. The Python test suite rebuilds the baffled listener signal from such a record alone, with a band-limited fractional delay, to $1.5 \times 10^{-4}$ relative rms.
8080
81-Loading a file restores the editor, the spectrogram and playback, the displacement frames (which also serve as the replay movie, at the file's frame rate), the energy and hit tables and the acceleration record, so that a loaded run can be exported again. A partial file written by this application on the same backend (GPU or CPU) can be continued with Resume, which rebuilds the set-up from the configuration, writes the saved state back into the buffers and runs on, appending to the signals and records; a float32 state reproduces the uninterrupted run only to float32 precision, which in the chaotic regime means the same statistics rather than the same waveform. Files written by the Python package load in the same way; their state group belongs to the Python integrator and is ignored, and their runs cannot be continued here.
81+Loading a file restores the editor, the spectrogram and playback, the displacement frames (which also serve as the replay movie, at the file's frame rate), the energy and hit tables and the acceleration record, so that a loaded run can be exported again. A partial file written by this application on the same backend (GPU or CPU) can be continued with Resume, which rebuilds the set-up from the configuration, writes the saved state back into the buffers and runs on, appending to the signals and records; a float32 state reproduces the uninterrupted run only to float32 precision, which in the chaotic regime means the same statistics rather than the same waveform. A run saved before `numerics.stability_bound` existed used the element bound, and its configuration lacks the key; when the rebuilt set-up's sub-step count differs from the file's, Resume rebuilds it with the element bound, and refuses if the counts still differ. Files written by the Python package load in the same way; their state group belongs to the Python integrator and is ignored, and their runs cannot be continued here.
8282
8383 ## 9. Limitations
8484
src/config/schema.tsmodified+4−2View file
@@ -21,12 +21,14 @@ export interface Hit { time: number; r: number; phi: number; velocity: number; e
2121 export interface Listener { position: [number, number, number]; c_air: number; rho_air: number; back_diffraction_gain: number }
2222 export interface Numerics {
2323 fs: number; duration: number; cfl_safety: number; rot_inertia_factor: number; inplane_mass_scale: number;
24+ stability_bound: string; // "global": lambda_max(M^-1 K) by power iteration; "element": the Irons element bound (larger, used before 2026-10)
2425 steps_per_block: number; dtype: string; nonlinear: boolean; n_progress: number;
2526 }
2627 export interface Output {
2728 prefix: string; wav: boolean; npz: boolean; cascade_plot: boolean;
2829 record_acceleration: boolean; // keep the normal acceleration of every node at the audio rate (large; off by default)
2930 displacement_rate: number; // frames per second of transverse displacement kept in the .cymsim file; 0 = none
31+ probes: [number, number][]; // points where cymsim keeps the normal acceleration; not supported here, must be empty
3032 }
3133 export interface SimulationConfig {
3234 material: Material; profile: Profile; imperfections: Imperfections; mesh: MeshConfig; hits: Hit[];
@@ -50,10 +52,10 @@ export const defaultMallet = (): MalletExciter => ({ kind: "mallet", mass: 0.3,
5052 export const defaultHit = (): Hit => ({ time: 0, r: 0.137, phi: 0.3, velocity: 8, exciter: defaultMallet() });
5153 export const defaultListener = (): Listener => ({ position: [0.4, 0.3, 0.9], c_air: 343, rho_air: 1.2, back_diffraction_gain: 1 });
5254 export const defaultNumerics = (): Numerics => ({
53- fs: 44100, duration: 2, cfl_safety: 0.6, rot_inertia_factor: 1 / 64, inplane_mass_scale: 1, steps_per_block: 20000,
55+ fs: 44100, duration: 2, cfl_safety: 0.6, rot_inertia_factor: 1 / 64, inplane_mass_scale: 1, stability_bound: "global", steps_per_block: 20000,
5456 dtype: "float32", nonlinear: true, n_progress: 20,
5557 });
56-export const defaultOutput = (): Output => ({ prefix: "crash", wav: true, npz: true, cascade_plot: true, record_acceleration: false, displacement_rate: 60 });
58+export const defaultOutput = (): Output => ({ prefix: "crash", wav: true, npz: true, cascade_plot: true, record_acceleration: false, displacement_rate: 60, probes: [] });
5759 export const defaultConfig = (): SimulationConfig => ({
5860 material: defaultMaterial(), profile: defaultProfile(), imperfections: defaultImperfections(), mesh: defaultMesh(),
5961 hits: [defaultHit()], listener: defaultListener(), numerics: defaultNumerics(), output: defaultOutput(),
src/config/yaml.tsmodified+6−0View file
@@ -27,6 +27,10 @@ function fillSection<T extends object>(target: T, raw: unknown, path: string, is
2727 } else if (typeof def === "string") {
2828 if (typeof val === "string") t[key] = val;
2929 else issues.push({ path: `${path}.${key}`, message: "expected a string" });
30+ } else if (key === "probes") {
31+ const isPoint = (x: unknown) => Array.isArray(x) && x.length === 2 && x.every((c) => typeof c === "number" && Number.isFinite(c));
32+ if (Array.isArray(val) && val.every(isPoint)) t[key] = val.map((x) => (x as number[]).slice());
33+ else issues.push({ path: `${path}.${key}`, message: "expected a list of points [x, y]" });
3034 } else if (Array.isArray(def)) {
3135 if (Array.isArray(val) && val.every((x) => typeof x === "number" && Number.isFinite(x))) {
3236 if (key === "position" && val.length !== 3) issues.push({ path: `${path}.${key}`, message: "expected three numbers" });
@@ -83,10 +87,12 @@ export function validateConfig(cfg: SimulationConfig): Issue[] {
8387 const issues: Issue[] = [], p = cfg.profile, n = cfg.numerics;
8488 if (cfg.hits.length === 0) issues.push({ path: "hits", message: "at least one hit is required" });
8589 if (n.dtype !== "float32" && n.dtype !== "float64") issues.push({ path: "numerics.dtype", message: "must be 'float32' or 'float64' (the web app always runs in float32)" });
90+ if (n.stability_bound !== "global" && n.stability_bound !== "element") issues.push({ path: "numerics.stability_bound", message: "must be 'global' or 'element'" });
8691 if (!(n.cfl_safety > 0 && n.cfl_safety <= 1)) issues.push({ path: "numerics.cfl_safety", message: "must lie in (0, 1]" });
8792 if (!(cfg.mesh.element_size > 0 && cfg.mesh.element_size <= p.radius / 2)) issues.push({ path: "mesh.element_size", message: "must be positive and well below the radius" });
8893 if (!(n.duration > 0)) issues.push({ path: "numerics.duration", message: "must be positive" });
8994 if (!(n.fs >= 8000 && n.fs <= 192000)) issues.push({ path: "numerics.fs", message: "must lie between 8000 and 192000 Hz" });
95+ if (cfg.output.probes.length) issues.push({ path: "output.probes", message: "probe records are not supported by the web app (the Python package writes them)" });
9096 if (!(cfg.output.displacement_rate >= 0)) issues.push({ path: "output.displacement_rate", message: "must be non-negative" });
9197 if (!(p.radius > 0 && p.h_rim > 0 && p.h_shoulder > 0 && p.h_bell > 0)) issues.push({ path: "profile", message: "radius and thicknesses must be positive" });
9298 if (!(p.bell_top_radius < p.bell_shoulder_radius && p.bell_shoulder_radius < p.radius)) issues.push({ path: "profile", message: "need bell_top_radius < bell_shoulder_radius < radius" });
src/main.tsmodified+10−2View file
@@ -213,11 +213,19 @@ async function start(resumeFrom: CymsimRun | null = null) {
213213 if (!resumeFrom) readouts.clearLog();
214214 const cfg = resumeFrom ? structuredClone(resumeFrom.config) : structuredClone(config!);
215215 const fail = (msg: string) => { readouts.log(msg); runState = resumeFrom ? "stopped" : "idle"; setRunButtons(false); };
216- if (!resumeFrom || !setup) {
216+ if (!resumeFrom || !setup || setup.substeps !== resumeFrom.substeps) {
217+ const build = () => buildSetup(cfg, async (phase) => { readouts.log(` ${phase}`); await new Promise((r) => setTimeout(r, 0)); });
217218 try {
218219 readouts.log("building the set-up ...");
219- setup = await buildSetup(cfg, async (phase) => { readouts.log(` ${phase}`); await new Promise((r) => setTimeout(r, 0)); });
220+ setup = await build();
221+ // runs saved before numerics.stability_bound existed used the element bound, and their files lack the key
222+ if (resumeFrom && setup.substeps !== resumeFrom.substeps && cfg.numerics.stability_bound === "global") {
223+ readouts.log(`the saved run has ${resumeFrom.substeps} sub-steps per sample; rebuilding with the element stability bound`);
224+ cfg.numerics.stability_bound = "element";
225+ setup = await build();
226+ }
220227 } catch (err) { fail(`set-up failed: ${(err as Error).message}`); return; }
228+ if (resumeFrom && setup.substeps !== resumeFrom.substeps) { fail(`cannot continue: the saved run has ${resumeFrom.substeps} sub-steps per sample, this set-up ${setup.substeps}`); setup = null; return; }
221229 $("summary").textContent = formatSummary(setup.summary);
222230 readouts.log(`set-up done in ${setup.summary.setupSeconds.toFixed(1)} s: ${setup.summary.nodes} nodes, ${setup.summary.substeps} sub-steps per sample, ${setup.summary.nSteps} steps`);
223231 if (setup.summary.slopeWarning) readouts.log(`warning: max slope ${setup.summary.maxSlope.toFixed(2)} exceeds the shallow-shell bound ${cfg.profile.max_slope}`);
src/model/setup.tsmodified+3−1View file
@@ -17,6 +17,7 @@ export interface Setup {
1717 export interface SetupSummary {
1818 nodes: number; elements: number; dofs: number; mass: number; height: number; rimWarp: number; dents: number;
1919 hMin: number; hMax: number; maxSlope: number; slopeWarning: boolean; omegaMax: number; limitingR: number; limitingH: number;
20+ omegaGlobal: number; omegaGlobalIterations: number; omegaGlobalConverged: boolean; boundUsed: "global" | "element";
2021 dt: number; substeps: number; nSteps: number; setupSeconds: number;
2122 hits: { time: number; kind: string; points: number; r: number; kTotal: number; alpha: number; mass: number; velocity: number;
2223 energy: number; freeContact: number; directBelow: number; late: boolean }[];
@@ -48,7 +49,8 @@ export async function buildSetup(config: SimulationConfig, progress?: (phase: st
4849 const summary: SetupSummary = {
4950 nodes: mesh.n, elements: mesh.e, dofs: 5 * mesh.n, mass: shell.mass, height: zMax, rimWarp: rimMax - rimMin,
5051 dents: profile.dentX.length, hMin, hMax, maxSlope: shell.maxSlope, slopeWarning: shell.maxSlope > config.profile.max_slope,
51- omegaMax: shell.omegaMax, limitingR: Math.hypot(mesh.centroid[2 * le], mesh.centroid[2 * le + 1]), limitingH: shell.hE[le],
52+ omegaMax: shell.omegaMax, omegaGlobal: shell.omegaGlobal, omegaGlobalIterations: shell.omegaGlobalIterations, omegaGlobalConverged: shell.omegaGlobalConverged,
53+ boundUsed: shell.omegaStep < shell.omegaMax ? "global" : "element", limitingR: Math.hypot(mesh.centroid[2 * le], mesh.centroid[2 * le + 1]), limitingH: shell.hE[le],
5254 dt, substeps, nSteps, setupSeconds: 0,
5355 hits: patches.map((p) => {
5456 const tau = freeContactTime(p);
src/model/shell.tsmodified+49−3View file
@@ -22,7 +22,10 @@ export interface Shell {
2222 Rm: Float64Array; // (6, N, 5), M-orthonormal
2323 rigidCentre: [number, number]; // mean node position, the origin of rawRigidModes
2424 adjOffsets: Uint32Array; adjEntries: Uint32Array; // CSR: node -> list of (3 e + local index)
25- mass: number; maxSlope: number; omegaMax: number; dtStable: number; limitingElement: number;
25+ mass: number; maxSlope: number; limitingElement: number;
26+ omegaMax: number; // element (Irons) bound on sqrt(lambda_max(M^-1 K))
27+ omegaGlobal: number; omegaGlobalIterations: number; omegaGlobalConverged: boolean; // by power iteration
28+ omegaStep: number; dtStable: number; // the bound the time step uses, per numerics.stability_bound, and 2 / omegaStep
2629 zeroModes: [number, number]; // min and max count of zero-energy element modes (expect 6)
2730 }
2831
@@ -33,6 +36,43 @@ export function rawRigidModes(X: number, Y: number, z: number): number[][] {
3336 return [[1, 0, 0, 0, 0], [0, 1, 0, 0, 0], [-Y, X, 0, 0, 0], [0, 0, 1, 0, 0], [0, -z, Y, 1, 0], [z, 0, -X, 0, 1]];
3437 }
3538
39+/** sqrt(lambda_max(M^-1 K)) of the stiffness assembled from the element matrices Kt (E x 15 x 15,
40+ * node-major DOFs), by power iteration on M^-1/2 K M^-1/2 with the lumped M (N x 5). The start
41+ * vector x_i = sin(i + 1) and the stopping rule (the Rayleigh quotient changes by at most tol
42+ * relative over 10 iterations) are those of cymsim's shell.global_omega_max, so that both packages
43+ * arrive at the same value. The Rayleigh quotient approaches lambda_max from below. */
44+export function globalOmegaMax(Kt: Float64Array, M: Float64Array, tri: Uint32Array, tol = 1e-7, maxIter = 20000):
45+ { omega: number; iterations: number; converged: boolean } {
46+ const E = tri.length / 3, L = M.length;
47+ const dof = new Uint32Array(15 * E);
48+ for (let e = 0; e < E; e++) for (let i = 0; i < 3; i++) for (let d = 0; d < N_DOF; d++) dof[15 * e + N_DOF * i + d] = N_DOF * tri[3 * e + i] + d;
49+ const isq = M.map((m) => 1 / Math.sqrt(m));
50+ const x = new Float64Array(L), y = new Float64Array(L);
51+ const xe = new Float64Array(15), hist: number[] = [];
52+ let nrm = 0;
53+ for (let i = 0; i < L; i++) { x[i] = Math.sin(i + 1); nrm += x[i] * x[i]; }
54+ nrm = Math.sqrt(nrm);
55+ for (let i = 0; i < L; i++) x[i] /= nrm;
56+ for (let it = 1; it <= maxIter; it++) {
57+ y.fill(0);
58+ for (let e = 0; e < E; e++) {
59+ for (let a = 0; a < 15; a++) { const g = dof[15 * e + a]; xe[a] = x[g] * isq[g]; }
60+ for (let a = 0; a < 15; a++) {
61+ let s = 0;
62+ for (let b = 0; b < 15; b++) s += Kt[225 * e + 15 * a + b] * xe[b];
63+ y[dof[15 * e + a]] += s;
64+ }
65+ }
66+ let lam = 0, yy = 0;
67+ for (let i = 0; i < L; i++) { y[i] *= isq[i]; lam += x[i] * y[i]; yy += y[i] * y[i]; }
68+ hist.push(lam);
69+ const n = Math.sqrt(yy);
70+ for (let i = 0; i < L; i++) x[i] = y[i] / n;
71+ if (it >= 20 && it % 10 === 0 && Math.abs(lam - hist[it - 11]) <= tol * lam) return { omega: Math.sqrt(lam), iterations: it, converged: true };
72+ }
73+ return { omega: Math.sqrt(hist[maxIter - 1]), iterations: maxIter, converged: false };
74+}
75+
3676 export function buildShell(mesh: Mesh, profile: CymbalProfile, material: Material, numerics: Numerics): Shell {
3777 const N = mesh.n, E = mesh.e, { xy, tri, area, Gx, Gy } = mesh;
3878 const nl = numerics.nonlinear ? 1 : 0;
@@ -105,9 +145,10 @@ export function buildShell(mesh: Mesh, profile: CymbalProfile, material: Materia
105145 for (let e = 0; e < E; e++) for (let k = 0; k < 3; k++) { const n = tri[3 * e + k]; adjEntries[adjOffsets[n] + fill[n]++] = 3 * e + k; }
106146 // Irons bound: lambda_max(M^-1 K) <= max_e lambda_max(M_e^-1 K_e), K_e the element tangent at rest
107147 let lamMax = 0, limitingElement = 0, zmin = 15, zmax = 0;
108- const S = new Float64Array(225), me = new Float64Array(15);
148+ const S = new Float64Array(225), me = new Float64Array(15), Kt = new Float64Array(225 * E);
109149 for (let e = 0; e < E; e++) {
110150 elementTangent(e, Gx, Gy, area[e], z0x[e], z0y[e], Cm, Ke, S);
151+ Kt.set(S, 225 * e);
111152 for (let i = 0; i < 3; i++) {
112153 me[5 * i] = mE[e] * numerics.inplane_mass_scale; me[5 * i + 1] = mE[e] * numerics.inplane_mass_scale;
113154 me[5 * i + 2] = mE[e]; me[5 * i + 3] = IE[e]; me[5 * i + 4] = IE[e];
@@ -120,8 +161,13 @@ export function buildShell(mesh: Mesh, profile: CymbalProfile, material: Materia
120161 if (top > lamMax) { lamMax = top; limitingElement = e; }
121162 }
122163 const omegaMax = Math.sqrt(lamMax);
164+ // the global lambda_max(M^-1 K), which the element bound overestimates (about 1.45x at 6 mm elements)
165+ const glob = globalOmegaMax(Kt, M, tri);
166+ const useGlobal = numerics.stability_bound === "global" && glob.converged;
167+ const omegaStep = useGlobal ? Math.min(glob.omega, omegaMax) : omegaMax;
123168 return { mesh, material, numerics, nl, hE, hNode, z0Node, z0x, z0y, normalNode, De, Cm, Ke, rhoHA, M, Minv, Rm, rigidCentre: [cx, cy], adjOffsets, adjEntries,
124- mass, maxSlope, omegaMax, dtStable: 2 / omegaMax, limitingElement, zeroModes: [zmin, zmax] };
169+ mass, maxSlope, omegaMax, omegaGlobal: glob.omega, omegaGlobalIterations: glob.iterations, omegaGlobalConverged: glob.converged,
170+ omegaStep, dtStable: 2 / omegaStep, limitingElement, zeroModes: [zmin, zmax] };
125171 }
126172
127173 /** 15 x 15 tangent stiffness of one element at rest: A B^T C B (membrane, linear part) plus DKT on the bending slots. */
src/ui/readouts.tsmodified+1−1View file
@@ -9,7 +9,7 @@ export function formatSummary(s: SetupSummary): string {
99 const lines = [
1010 `mesh: ${s.nodes} nodes, ${s.elements} triangles, ${s.dofs} DOFs`,
1111 `profile: height ${f(s.height * 1e3, 1)} mm, rim warp p-p ${f(s.rimWarp * 1e3, 2)} mm, ${s.dents} dents, h in [${f(s.hMin * 1e3, 2)}, ${f(s.hMax * 1e3, 2)}] mm, max |grad z0| = ${f(s.maxSlope)}${s.slopeWarning ? " (above the shallow-shell bound)" : ""}, mass ${f(s.mass)} kg`,
12- `omega_max bound ${e(s.omegaMax)} rad/s (limiting element at r = ${f(s.limitingR)} m, h = ${f(s.limitingH * 1e3, 2)} mm)`,
12+ `omega_max: element bound ${e(s.omegaMax)} rad/s (limiting element at r = ${f(s.limitingR)} m, h = ${f(s.limitingH * 1e3, 2)} mm), global ${e(s.omegaGlobal)} rad/s (${s.omegaGlobalIterations} power iterations${s.omegaGlobalConverged ? "" : ", did not converge"}); ${s.boundUsed} bound used`,
1313 `dt = ${e(s.dt)} s, ${s.substeps} sub-steps per sample, ${s.nSteps} steps`,
1414 ];
1515 s.hits.forEach((h, k) => lines.push(
tests/fixtures/python_reference.jsonmodified+1−1View file
@@ -1 +1 @@
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tests/shell.test.tsmodified+4−0View file
@@ -18,6 +18,10 @@ test("dent-free shell matches the Python assembly", () => {
1818 assert.ok(rel(shell.mass, f.mass) < 1e-10);
1919 assert.ok(rel(shell.omegaMax, f.omega_max) < 1e-8, `omega ${shell.omegaMax} vs ${f.omega_max}`);
2020 assert.equal(shell.limitingElement, f.limiting_element);
21+ // the global bound by the same power iteration as cymsim's (start vector and stopping rule included)
22+ assert.ok(rel(shell.omegaGlobal, fixture.timestep.omega_global) < 1e-9, `global omega ${shell.omegaGlobal} vs ${fixture.timestep.omega_global}`);
23+ assert.equal(shell.omegaGlobalIterations, fixture.timestep.omega_global_iterations);
24+ assert.ok(shell.omegaGlobalConverged && shell.omegaGlobal < shell.omegaMax && shell.dtStable === 2 / shell.omegaGlobal);
2125 assert.ok(rel(shell.maxSlope, f.max_slope) < 1e-10);
2226 assert.ok(rel(Math.min(...shell.hE), f.h_e_min) < 1e-10 && rel(Math.max(...shell.hE), f.h_e_max) < 1e-10);
2327 assert.ok(rel(Math.max(...shell.z0Node), f.z0_max) < 1e-10);