Drop the solutions of the superseded twenty-dent hammering
6 changed files+0−104
solutions/cymbal-hammered-v1/vonkarman-modal.jsondeleted+0−101View file
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1-{
2- "schema_version": 1,
3- "submission_id": "vonkarman-modal",
4- "challenge_id": "cymbal-hammered-v1",
5- "submitter": {
6- "name": "Jeremy Magland",
7- "email": "jmagland@flatironinstitute.org"
8- },
9- "date": "2026-09-17",
10- "description": "Marguerre shallow-shell reduction of the challenge model on a Cartesian grid at 8 mm and 4 mm spacing, as for the bell, with the twenty dents in the initial shape. The dents break the symmetry in y, so the full modal basis is used (twice the modes of the symmetric chains for the same frequency reach): 200 and 400 modes at 8 mm, 400 and 600 at 4 mm (reach 13 to 14 kHz). The hole is closed (a stated approximation); the bell flank exceeds the shallow-shell range; the staircase boundary makes the radiated ring converge only at first order; and the response is chaotic beyond about 0.15 s, so errors between any two solutions have a floor of roughly 0.6 (waveform) and 0.5 (spectrogram). The 4 mm cells are a third of a dent radius, so the dents are resolved but not finely.",
11- "code_url": "https://vault1.magland.org/challenges/cymbal-solutions/blob/main/solvers/vonkarman-modal-disk/vk_modal_disk.py",
12- "viz_url": "https://vault1.magland.org/challenges/cymbal-solutions/site/",
13- "solutions": [
14- {
15- "solution_id": "vk-g8-w200-a200-m2",
16- "output": "vonkarman-modal/vk-g8-w200-a200-m2.wav",
17- "method": "Marguerre shallow shell (Airy form) on a Cartesian grid masked to the disk, modal method on shell modes built from Bogner-Fox-Schmit plate modes, Gautschi-type integrator exact in the linear part, retarded Rayleigh-type integral with cubic fractional delays",
18- "parameters": {
19- "grid_spacing_m": 0.008,
20- "cells": 2024,
21- "n_dof": 8500,
22- "transverse_modes": 200,
23- "basis_even_in_y": false,
24- "airy_modes": 200,
25- "oversampling": 2,
26- "dt_s": 1.0416666666666666e-05,
27- "highest_transverse_mode_hz": 12003.1
28- },
29- "timing_seconds": 69.003,
30- "more_accurate_than": [],
31- "hardware": "Intel(R) Xeon(R) w5-3435X (32 threads), numpy/scipy for the setup; coupling tensor and time stepping on NVIDIA RTX 6000 Ada Generation (PyTorch 2.14.0+cu130)"
32- },
33- {
34- "solution_id": "vk-g8-w400-a400-m2",
35- "output": "vonkarman-modal/vk-g8-w400-a400-m2.wav",
36- "method": "Marguerre shallow shell (Airy form) on a Cartesian grid masked to the disk, modal method on shell modes built from Bogner-Fox-Schmit plate modes, Gautschi-type integrator exact in the linear part, retarded Rayleigh-type integral with cubic fractional delays",
37- "parameters": {
38- "grid_spacing_m": 0.008,
39- "cells": 2024,
40- "n_dof": 8500,
41- "transverse_modes": 400,
42- "basis_even_in_y": false,
43- "airy_modes": 400,
44- "oversampling": 2,
45- "dt_s": 1.0416666666666666e-05,
46- "highest_transverse_mode_hz": 13516.3
47- },
48- "timing_seconds": 395.769,
49- "more_accurate_than": [
50- "vk-g8-w200-a200-m2"
51- ],
52- "hardware": "Intel(R) Xeon(R) w5-3435X (32 threads), numpy/scipy for the setup; coupling tensor and time stepping on NVIDIA RTX 6000 Ada Generation (PyTorch 2.14.0+cu130)"
53- },
54- {
55- "solution_id": "vk-g4-w400-a400-m2",
56- "output": "vonkarman-modal/vk-g4-w400-a400-m2.wav",
57- "method": "Marguerre shallow shell (Airy form) on a Cartesian grid masked to the disk, modal method on shell modes built from Bogner-Fox-Schmit plate modes, Gautschi-type integrator exact in the linear part, retarded Rayleigh-type integral with cubic fractional delays",
58- "parameters": {
59- "grid_spacing_m": 0.004,
60- "cells": 8112,
61- "n_dof": 33268,
62- "transverse_modes": 400,
63- "basis_even_in_y": false,
64- "airy_modes": 400,
65- "oversampling": 2,
66- "dt_s": 1.0416666666666666e-05,
67- "highest_transverse_mode_hz": 13401.0
68- },
69- "timing_seconds": 474.118,
70- "more_accurate_than": [
71- "vk-g8-w400-a400-m2"
72- ],
73- "hardware": "Intel(R) Xeon(R) w5-3435X (32 threads), numpy/scipy for the setup; coupling tensor and time stepping on NVIDIA RTX 6000 Ada Generation (PyTorch 2.14.0+cu130)"
74- },
75- {
76- "solution_id": "vk-g4-w600-a600-m2",
77- "output": "vonkarman-modal/vk-g4-w600-a600-m2.wav",
78- "method": "Marguerre shallow shell (Airy form) on a Cartesian grid masked to the disk, modal method on shell modes built from Bogner-Fox-Schmit plate modes, Gautschi-type integrator exact in the linear part, retarded Rayleigh-type integral with cubic fractional delays",
79- "parameters": {
80- "grid_spacing_m": 0.004,
81- "cells": 8112,
82- "n_dof": 33268,
83- "transverse_modes": 600,
84- "basis_even_in_y": false,
85- "airy_modes": 600,
86- "oversampling": 2,
87- "dt_s": 1.0416666666666666e-05,
88- "highest_transverse_mode_hz": 14381.5
89- },
90- "timing_seconds": 1620.173,
91- "more_accurate_than": [
92- "vk-g4-w400-a400-m2"
93- ],
94- "hardware": "Intel(R) Xeon(R) w5-3435X (32 threads), numpy/scipy for the setup; coupling tensor and time stepping on NVIDIA RTX 6000 Ada Generation (PyTorch 2.14.0+cu130)",
95- "fields": {
96- "path": "vonkarman-modal/vk-g4-w600-a600-m2.h5",
97- "format": "hdf5"
98- }
99- }
100- ]
101-}
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