[ { "case": "flat16", "N": 128, "flat": true, "mode": 1, "qualified": true, "gates": { "topology_unchanged": true, "gradient_stable": true, "value_crosscheck": true, "surface_rate_stable": true }, "gradient_stability_normalized": 3.111239568436676e-08, "value_crosscheck_normalized": 1.5725878673962896e-08, "surface_stability_normalized": 3.074942387609841e-11, "finest": { "mode": 1.0, "epsilon": 1e-05, "k_per_m": 9817.477042468103, "mass_kg": 1.6051200000000004e-10, "continuum_K_N_per_m": 0.7543783606254819, "full_K_N_per_m": 0.7449258456674208, "value_K_N_per_m": 0.7449258455799728, "surface_K_N_per_m": 0.7447335056424772, "projected_K_N_per_m": 0.7447335056189142, "geometric_residual_K_N_per_m": 0.00019234002494363268, "damping_per_s": 1645.0234893732609, "velocity_projection_m_per_s": 0.0, "kinetic_fraction": 0.0, "kinetic_available": 0.0, "force_projection_N": -8.715651842979615e-21, "topology_plus_equal": 1.0, "topology_minus_equal": 1.0, "flat_expected_K_N_per_m": 0.7449258454010661, "flat_J_error": 1.2490009027033013e-15, "base_energy_J": 2.8290370070488957e-38, "plus_energy_J": 1.4898516914392912e-20, "minus_energy_J": 1.4898516908805997e-20 }, "full_ratio": 0.9874697957266116, "intrinsic_ratio": 0.9872148307978932, "projected_ratio": 0.9872148307666582, "geometric_ratio": 0.00025496492871847056, "flat_reference_error": 3.5307841523980323e-10, "flat_control_passed": true }, { "case": "flat16", "N": 128, "flat": true, "mode": 8, "qualified": true, "gates": { "topology_unchanged": true, "gradient_stable": true, "value_crosscheck": true, "surface_rate_stable": true }, "gradient_stability_normalized": 5.347079868677269e-07, "value_crosscheck_normalized": 2.700582155410965e-07, "surface_stability_normalized": 4.5164151494600253e-11, "finest": { "mode": 8.0, "epsilon": 1e-05, "k_per_m": 78539.81633974482, "mass_kg": 1.6051200000000001e-10, "continuum_K_N_per_m": 48.280215080030835, "full_K_N_per_m": 19.83023902604704, "value_K_N_per_m": 19.830238972389974, "surface_K_N_per_m": 19.567234152672672, "projected_K_N_per_m": 19.567234153661488, "geometric_residual_K_N_per_m": 0.2630048733743679, "damping_per_s": 22129.186602870803, "velocity_projection_m_per_s": 0.0, "kinetic_fraction": 0.0, "kinetic_available": 0.0, "force_projection_N": -2.4836883071887014e-20, "topology_plus_equal": 1.0, "topology_minus_equal": 1.0, "flat_expected_K_N_per_m": 19.830238919048647, "flat_J_error": 4.5519144009631426e-15, "base_energy_J": 2.8290370070488957e-38, "plus_energy_J": 3.9660477943497324e-19, "minus_energy_J": 3.966047794606256e-19 }, "full_ratio": 0.4107322014447491, "intrinsic_ratio": 0.4052847345488705, "projected_ratio": 0.40528473456935127, "geometric_ratio": 0.005447466895878624, "flat_reference_error": 2.216195437222719e-09, "flat_control_passed": true }, { "case": "flat16", "N": 128, "flat": true, "mode": 16, "qualified": true, "gates": { "topology_unchanged": true, "gradient_stable": true, "value_crosscheck": true, "surface_rate_stable": true }, "gradient_stability_normalized": 6.020026814703802e-23, "value_crosscheck_normalized": 2.4157248404052295e-21, "surface_stability_normalized": 1.952350703283249e-20, "finest": { "mode": 16.0, "epsilon": 1e-05, "k_per_m": 157079.63267948964, "mass_kg": 3.2102400000000054e-10, "continuum_K_N_per_m": 386.2417206402473, "full_K_N_per_m": -2.318773858877823e-24, "value_K_N_per_m": -7.104292132157516e-21, "surface_K_N_per_m": 7.631237242538087e-22, "projected_K_N_per_m": 2.0520491157990447e-29, "geometric_residual_K_N_per_m": -7.654424981126865e-22, "damping_per_s": 30203.349282296593, "velocity_projection_m_per_s": 0.0, "kinetic_fraction": 0.0, "kinetic_available": 0.0, "force_projection_N": 1.7652398666298292e-34, "topology_plus_equal": 1.0, "topology_minus_equal": 1.0, "flat_expected_K_N_per_m": 2.0933426060798034e-29, "flat_J_error": 1.7763568394002674e-15, "base_energy_J": 2.8290370070488957e-38, "plus_energy_J": 2.7663444192486994e-38, "minus_energy_J": 2.8633124263204614e-38 }, "full_ratio": -6.003426701377948e-27, "intrinsic_ratio": 1.9757672034725533e-24, "projected_ratio": 5.312862402325411e-32, "geometric_ratio": -1.9817706301739313e-24, "flat_reference_error": 6.003480899112016e-27, "flat_control_passed": true }, { "case": "flat32", "N": 512, "flat": true, "mode": 1, "qualified": true, "gates": { "topology_unchanged": true, "gradient_stable": true, "value_crosscheck": true, "surface_rate_stable": true }, "gradient_stability_normalized": 7.623951720341578e-09, "value_crosscheck_normalized": 3.962607786513109e-09, "surface_stability_normalized": 2.7075015214266565e-12, "finest": { "mode": 1.0, "epsilon": 1e-05, "k_per_m": 9817.477042468103, "mass_kg": 1.605120000000003e-10, "continuum_K_N_per_m": 0.7543783606254831, "full_K_N_per_m": 0.7521525096299434, "value_K_N_per_m": 0.7521525097829272, "surface_K_N_per_m": 0.7519578350910128, "projected_K_N_per_m": 0.7519578350938748, "geometric_residual_K_N_per_m": 0.00019467453893071252, "damping_per_s": 2745.2115368112964, "velocity_projection_m_per_s": 0.0, "kinetic_fraction": 0.0, "kinetic_available": 0.0, "force_projection_N": -2.029648090944485e-21, "topology_plus_equal": 1.0, "topology_minus_equal": 1.0, "flat_expected_K_N_per_m": 0.7521525093839202, "flat_J_error": 1.3045120539345591e-15, "base_energy_J": 4.404454437194194e-37, "plus_energy_J": 3.7607625509699875e-21, "minus_energy_J": 3.760762546859287e-21 }, "full_ratio": 0.9970494235893853, "intrinsic_ratio": 0.9967913640411644, "projected_ratio": 0.9967913640449583, "geometric_ratio": 0.0002580595482210023, "flat_reference_error": 3.2612706653846546e-10, "flat_control_passed": true }, { "case": "flat32", "N": 512, "flat": true, "mode": 8, "qualified": true, "gates": { "topology_unchanged": true, "gradient_stable": true, "value_crosscheck": true, "surface_rate_stable": true }, "gradient_stability_normalized": 4.0142638238016355e-07, "value_crosscheck_normalized": 2.0273824004538617e-07, "surface_stability_normalized": 2.850089453819394e-10, "finest": { "mode": 8.0, "epsilon": 1e-05, "k_per_m": 78539.81633974482, "mass_kg": 1.6051200000000017e-10, "continuum_K_N_per_m": 48.28021508003088, "full_K_N_per_m": 39.75072696761483, "value_K_N_per_m": 39.75072688773021, "surface_K_N_per_m": 39.1344683072091, "projected_K_N_per_m": 39.13446830732286, "geometric_residual_K_N_per_m": 0.6162586604057287, "damping_per_s": 33193.71882529525, "velocity_projection_m_per_s": 0.0, "kinetic_fraction": 0.0, "kinetic_available": 0.0, "force_projection_N": -7.030917444693526e-20, "topology_plus_equal": 1.0, "topology_minus_equal": 1.0, "flat_expected_K_N_per_m": 39.75072680570375, "flat_J_error": 8.99280649946377e-15, "base_energy_J": 4.404454437194194e-37, "plus_energy_J": 1.9875363443885137e-19, "minus_energy_J": 1.9875363443845078e-19 }, "full_ratio": 0.8233336761595348, "intrinsic_ratio": 0.8105694691363431, "projected_ratio": 0.8105694691386995, "geometric_ratio": 0.01276420702319155, "flat_reference_error": 3.3535700204885834e-09, "flat_control_passed": true }, { "case": "flat32", "N": 512, "flat": true, "mode": 32, "qualified": true, "gates": { "topology_unchanged": true, "gradient_stable": true, "value_crosscheck": true, "surface_rate_stable": true }, "gradient_stability_normalized": 4.0260905381838634e-22, "value_crosscheck_normalized": 6.364593454068721e-20, "surface_stability_normalized": 2.4722701840488976e-20, "finest": { "mode": 32.0, "epsilon": 1e-05, "k_per_m": 314159.2653589793, "mass_kg": 3.210240000000009e-10, "continuum_K_N_per_m": 1544.9668825609908, "full_K_N_per_m": -6.620699500784334e-23, "value_K_N_per_m": -4.742018664570597e-19, "surface_K_N_per_m": 3.872146304547108e-21, "projected_K_N_per_m": 1.6720794500844725e-28, "geometric_residual_K_N_per_m": -3.938353299554952e-21, "damping_per_s": 117822.96650717666, "velocity_projection_m_per_s": 0.0, "kinetic_fraction": 0.0, "kinetic_available": 0.0, "force_projection_N": -1.1390275773239031e-33, "topology_plus_equal": 1.0, "topology_minus_equal": 1.0, "flat_expected_K_N_per_m": 1.8083088386647807e-28, "flat_J_error": 3.552713678800526e-15, "base_energy_J": 4.404454437194194e-37, "plus_energy_J": 4.382204434136177e-37, "minus_energy_J": 4.379284253606507e-37 }, "full_ratio": -4.2853342524790126e-26, "intrinsic_ratio": 2.5062972858864803e-24, "projected_ratio": 1.082275270077489e-31, "geometric_ratio": -2.5491506284112707e-24, "flat_reference_error": 4.28534595699423e-26, "flat_control_passed": true }, { "case": "u20_initial", "N": 144, "flat": false, "mode": 1, "qualified": true, "gates": { "topology_unchanged": true, "gradient_stable": true, "value_crosscheck": true, "surface_rate_stable": true }, "gradient_stability_normalized": 3.099768333762998e-08, "value_crosscheck_normalized": 1.376517136594608e-08, "surface_stability_normalized": 4.949946440386293e-11, "finest": { "mode": 1.0, "epsilon": 1e-05, "k_per_m": 9817.477042468103, "mass_kg": 1.6365467040935555e-10, "continuum_K_N_per_m": 0.7691483625654977, "full_K_N_per_m": 0.7541640962994886, "value_K_N_per_m": 0.7541640556496533, "surface_K_N_per_m": 0.7477309618153696, "projected_K_N_per_m": 0.7438833558355169, "geometric_residual_K_N_per_m": 0.006433134484118909, "damping_per_s": 1862.7003987686169, "velocity_projection_m_per_s": 0.0, "kinetic_fraction": 0.0, "kinetic_available": 0.0, "force_projection_N": -4.9989334435760724e-08, "topology_plus_equal": 1.0, "topology_minus_equal": 1.0, "flat_expected_K_N_per_m": 0.0, "flat_J_error": 0.0, "base_energy_J": 4.532518920806525e-12, "plus_energy_J": 4.532508938022926e-12, "minus_energy_J": 4.532528933756686e-12 }, "full_ratio": 0.9805183668128357, "intrinsic_ratio": 0.9721543959624509, "projected_ratio": 0.9671519722856728, "geometric_ratio": 0.008363970850384653, "flat_reference_error": null, "flat_control_passed": null }, { "case": "u20_initial", "N": 144, "flat": false, "mode": 4, "qualified": true, "gates": { "topology_unchanged": true, "gradient_stable": true, "value_crosscheck": true, "surface_rate_stable": true }, "gradient_stability_normalized": 4.1646744555615084e-07, "value_crosscheck_normalized": 2.1024002075901156e-07, "surface_stability_normalized": 4.197302479366773e-10, "finest": { "mode": 4.0, "epsilon": 1e-05, "k_per_m": 39269.90816987241, "mass_kg": 1.8146846463532503e-10, "continuum_K_N_per_m": 13.645921337402282, "full_K_N_per_m": 9.983326209058168, "value_K_N_per_m": 9.983326272333672, "surface_K_N_per_m": 9.866356512434844, "projected_K_N_per_m": 9.804005214286434, "geometric_residual_K_N_per_m": 0.11696969662332413, "damping_per_s": 9860.855766114137, "velocity_projection_m_per_s": 0.0, "kinetic_fraction": 0.0, "kinetic_available": 0.0, "force_projection_N": -5.294420969413822e-08, "topology_plus_equal": 1.0, "topology_minus_equal": 1.0, "flat_expected_K_N_per_m": 0.0, "flat_J_error": 0.0, "base_energy_J": 4.532518920806525e-12, "plus_energy_J": 4.532508531631059e-12, "minus_energy_J": 4.532529709315043e-12 }, "full_ratio": 0.7315978131644905, "intrinsic_ratio": 0.7230260433490864, "projected_ratio": 0.7184568173798943, "geometric_ratio": 0.008571769815404136, "flat_reference_error": null, "flat_control_passed": null }, { "case": "u20_initial", "N": 144, "flat": false, "mode": 8, "qualified": true, "gates": { "topology_unchanged": true, "gradient_stable": true, "value_crosscheck": true, "surface_rate_stable": true }, "gradient_stability_normalized": 8.058912905199849e-07, "value_crosscheck_normalized": 4.070540061596194e-07, "surface_stability_normalized": 5.250091209900975e-10, "finest": { "mode": 8.0, "epsilon": 1e-05, "k_per_m": 78539.81633974482, "mass_kg": 1.7704800464811848e-10, "continuum_K_N_per_m": 53.25406040608464, "full_K_N_per_m": 21.246082653757398, "value_K_N_per_m": 21.24608258213812, "surface_K_N_per_m": 20.862112901109246, "projected_K_N_per_m": 20.77233954355023, "geometric_residual_K_N_per_m": 0.3839697526481505, "damping_per_s": 25591.255581479603, "velocity_projection_m_per_s": 0.0, "kinetic_fraction": 0.0, "kinetic_available": 0.0, "force_projection_N": -1.0083466620099948e-07, "topology_plus_equal": 1.0, "topology_minus_equal": 1.0, "flat_expected_K_N_per_m": 0.0, "flat_J_error": 0.0, "base_energy_J": 4.532518920806525e-12, "plus_energy_J": 4.5324991787908745e-12, "minus_energy_J": 4.5325395126654795e-12 }, "full_ratio": 0.3989570465002494, "intrinsic_ratio": 0.3917468967065957, "projected_ratio": 0.3900611405994659, "geometric_ratio": 0.007210149793653656, "flat_reference_error": null, "flat_control_passed": null }, { "case": "u20_initial", "N": 144, "flat": false, "mode": 12, "qualified": true, "gates": { "topology_unchanged": true, "gradient_stable": true, "value_crosscheck": true, "surface_rate_stable": true }, "gradient_stability_normalized": 1.5874184983762127e-06, "value_crosscheck_normalized": 8.015280940543406e-07, "surface_stability_normalized": 2.687556971645613e-09, "finest": { "mode": 12.0, "epsilon": 1e-05, "k_per_m": 117809.72450961723, "mass_kg": 1.7281224502832335e-10, "continuum_K_N_per_m": 116.95498035329747, "full_K_N_per_m": 16.343689898842946, "value_K_N_per_m": 16.343690099063227, "surface_K_N_per_m": 15.753487115105383, "projected_K_N_per_m": 15.847570943462012, "geometric_residual_K_N_per_m": 0.5902027837375626, "damping_per_s": 37071.010443319436, "velocity_projection_m_per_s": 0.0, "kinetic_fraction": 0.0, "kinetic_available": 0.0, "force_projection_N": -1.2772610483859414e-07, "topology_plus_equal": 1.0, "topology_minus_equal": 1.0, "flat_expected_K_N_per_m": 0.0, "flat_J_error": 0.0, "base_energy_J": 4.532518920806525e-12, "plus_energy_J": 4.532493702464628e-12, "minus_energy_J": 4.532544792896027e-12 }, "full_ratio": 0.13974342819324106, "intrinsic_ratio": 0.13469701818184457, "projected_ratio": 0.13550146300388138, "geometric_ratio": 0.005046410011396511, "flat_reference_error": null, "flat_control_passed": null }, { "case": "u20_initial", "N": 144, "flat": false, "mode": 16, "qualified": true, "gates": { "topology_unchanged": true, "gradient_stable": true, "value_crosscheck": true, "surface_rate_stable": true }, "gradient_stability_normalized": 2.8992139061113496e-06, "value_crosscheck_normalized": 1.464206240255686e-06, "surface_stability_normalized": 6.147349244032221e-09, "finest": { "mode": 16.0, "epsilon": 1e-05, "k_per_m": 157079.63267948964, "mass_kg": 3.535467423804057e-10, "continuum_K_N_per_m": 425.3716298587081, "full_K_N_per_m": 10.425250205366986, "value_K_N_per_m": 10.4252503874136, "surface_K_N_per_m": 9.53175336434059, "projected_K_N_per_m": 9.744360423790175, "geometric_residual_K_N_per_m": 0.8934968410263955, "damping_per_s": 35458.23186452333, "velocity_projection_m_per_s": 0.0, "kinetic_fraction": 0.0, "kinetic_available": 0.0, "force_projection_N": -1.4221493546531205e-07, "topology_plus_equal": 1.0, "topology_minus_equal": 1.0, "flat_expected_K_N_per_m": 0.0, "flat_J_error": 0.0, "base_energy_J": 4.532518920806525e-12, "plus_energy_J": 4.532490686309002e-12, "minus_energy_J": 4.5325475723140645e-12 }, "full_ratio": 0.024508569621415156, "intrinsic_ratio": 0.02240806084671577, "projected_ratio": 0.022907875701599734, "geometric_ratio": 0.0021005087746993854, "flat_reference_error": null, "flat_control_passed": null }, { "case": "u20_t10", "N": 144, "flat": false, "mode": 1, "qualified": true, "gates": { "topology_unchanged": true, "gradient_stable": true, "value_crosscheck": true, "surface_rate_stable": true }, "gradient_stability_normalized": 3.1048382802378036e-08, "value_crosscheck_normalized": 2.3326131940839648e-08, "surface_stability_normalized": 6.881001541970394e-12, "finest": { "mode": 1.0, "epsilon": 1e-05, "k_per_m": 9817.477042468103, "mass_kg": 1.6361101868106908e-10, "continuum_K_N_per_m": 0.7689432070679448, "full_K_N_per_m": 0.756246372746033, "value_K_N_per_m": 0.7562461235011143, "surface_K_N_per_m": 0.7497755034590138, "projected_K_N_per_m": 0.7467937615954323, "geometric_residual_K_N_per_m": 0.006470869287019241, "damping_per_s": 1864.0745095399243, "velocity_projection_m_per_s": 0.0027422792863051946, "kinetic_fraction": 0.2903034979878403, "kinetic_available": 1.0, "force_projection_N": -3.6050025046008533e-08, "topology_plus_equal": 1.0, "topology_minus_equal": 1.0, "flat_expected_K_N_per_m": 0.0, "flat_J_error": 0.0, "base_energy_J": 4.52181231155976e-12, "plus_energy_J": 4.521805116679673e-12, "minus_energy_J": 4.521819536689692e-12 }, "full_ratio": 0.983487942665719, "intrinsic_ratio": 0.9750726667031504, "projected_ratio": 0.9711949526715107, "geometric_ratio": 0.008415275962568542, "flat_reference_error": null, "flat_control_passed": null }, { "case": "u20_t10", "N": 144, "flat": false, "mode": 4, "qualified": true, "gates": { "topology_unchanged": true, "gradient_stable": true, "value_crosscheck": true, "surface_rate_stable": true }, "gradient_stability_normalized": 4.097728179730287e-07, "value_crosscheck_normalized": 2.0733826782060183e-07, "surface_stability_normalized": 3.7908809656974455e-10, "finest": { "mode": 4.0, "epsilon": 1e-05, "k_per_m": 39269.90816987241, "mass_kg": 1.8155043064158888e-10, "continuum_K_N_per_m": 13.652084951978871, "full_K_N_per_m": 9.944778120442498, "value_K_N_per_m": 9.944778085468899, "surface_K_N_per_m": 9.827408871451416, "projected_K_N_per_m": 9.774263175016783, "geometric_residual_K_N_per_m": 0.1173692489910809, "damping_per_s": 9866.395703409864, "velocity_projection_m_per_s": 0.0010919446502724106, "kinetic_fraction": 0.051075765802229105, "kinetic_available": 1.0, "force_projection_N": 2.7030067813710445e-08, "topology_plus_equal": 1.0, "topology_minus_equal": 1.0, "flat_expected_K_N_per_m": 0.0, "flat_J_error": 0.0, "base_energy_J": 4.52181231155976e-12, "plus_energy_J": 4.5218179164689505e-12, "minus_energy_J": 4.521807104441691e-12 }, "full_ratio": 0.7284439084156886, "intrinsic_ratio": 0.7198467417994592, "projected_ratio": 0.7159538787956342, "geometric_ratio": 0.008597166616229428, "flat_reference_error": null, "flat_control_passed": null }, { "case": "u20_t10", "N": 144, "flat": false, "mode": 8, "qualified": true, "gates": { "topology_unchanged": true, "gradient_stable": true, "value_crosscheck": true, "surface_rate_stable": true }, "gradient_stability_normalized": 7.72362076578972e-07, "value_crosscheck_normalized": 3.902395511796367e-07, "surface_stability_normalized": 5.173630776388923e-10, "finest": { "mode": 8.0, "epsilon": 1e-05, "k_per_m": 78539.81633974482, "mass_kg": 1.7734763557181713e-10, "continuum_K_N_per_m": 53.34418603806729, "full_K_N_per_m": 21.15141795613016, "value_K_N_per_m": 21.151417506359852, "surface_K_N_per_m": 20.7667363382225, "projected_K_N_per_m": 20.683735040752193, "geometric_residual_K_N_per_m": 0.38468161790765953, "damping_per_s": 25588.032142974374, "velocity_projection_m_per_s": 0.0002981439366540674, "kinetic_fraction": 0.0037195784211556332, "kinetic_available": 1.0, "force_projection_N": 7.648584043779923e-08, "topology_plus_equal": 1.0, "topology_minus_equal": 1.0, "flat_expected_K_N_per_m": 0.0, "flat_J_error": 0.0, "base_energy_J": 4.52181231155976e-12, "plus_energy_J": 4.521828031752703e-12, "minus_energy_J": 4.521797437423517e-12 }, "full_ratio": 0.3965084018909982, "intrinsic_ratio": 0.3892970889724143, "projected_ratio": 0.3877411312639008, "geometric_ratio": 0.0072113129185839365, "flat_reference_error": null, "flat_control_passed": null }, { "case": "u20_t10", "N": 144, "flat": false, "mode": 12, "qualified": true, "gates": { "topology_unchanged": true, "gradient_stable": true, "value_crosscheck": true, "surface_rate_stable": true }, "gradient_stability_normalized": 1.4861678598186055e-06, "value_crosscheck_normalized": 7.507849200265612e-07, "surface_stability_normalized": 2.734812920267836e-09, "finest": { "mode": 12.0, "epsilon": 1e-05, "k_per_m": 117809.72450961723, "mass_kg": 1.7306454387995154e-10, "continuum_K_N_per_m": 117.12572986951665, "full_K_N_per_m": 16.147949299176055, "value_K_N_per_m": 16.14794882698334, "surface_K_N_per_m": 15.559044363366578, "projected_K_N_per_m": 15.638372765191512, "geometric_residual_K_N_per_m": 0.5889049358094762, "damping_per_s": 37059.700320919954, "velocity_projection_m_per_s": 0.0008431645756396892, "kinetic_fraction": 0.0290301419730444, "kinetic_available": 1.0, "force_projection_N": 7.814926282042418e-08, "topology_plus_equal": 1.0, "topology_minus_equal": 1.0, "flat_expected_K_N_per_m": 0.0, "flat_J_error": 0.0, "base_energy_J": 4.52181231155976e-12, "plus_energy_J": 4.521828264377528e-12, "minus_energy_J": 4.521797004659946e-12 }, "full_ratio": 0.13786850521371863, "intrinsic_ratio": 0.13284053282485458, "projected_ratio": 0.13351782552487285, "geometric_ratio": 0.005027972388864026, "flat_reference_error": null, "flat_control_passed": null }, { "case": "u20_t10", "N": 144, "flat": false, "mode": 16, "qualified": true, "gates": { "topology_unchanged": true, "gradient_stable": true, "value_crosscheck": true, "surface_rate_stable": true }, "gradient_stability_normalized": 2.7256049617472905e-06, "value_crosscheck_normalized": 1.376925134333289e-06, "surface_stability_normalized": 6.289801489104652e-09, "finest": { "mode": 16.0, "epsilon": 1e-05, "k_per_m": 157079.63267948964, "mass_kg": 3.535525261202136e-10, "continuum_K_N_per_m": 425.3785885957967, "full_K_N_per_m": 10.172791589438075, "value_K_N_per_m": 10.172791178320042, "surface_K_N_per_m": 9.280346735075645, "projected_K_N_per_m": 9.460939405051793, "geometric_residual_K_N_per_m": 0.8924448543624313, "damping_per_s": 35451.75920476437, "velocity_projection_m_per_s": 0.0009209623125707347, "kinetic_fraction": 0.07075449167727166, "kinetic_available": 1.0, "force_projection_N": 6.126169213524807e-08, "topology_plus_equal": 1.0, "topology_minus_equal": 1.0, "flat_expected_K_N_per_m": 0.0, "flat_J_error": 0.0, "base_energy_J": 4.52181231155976e-12, "plus_energy_J": 4.5218247673396986e-12, "minus_energy_J": 4.521800262691468e-12 }, "full_ratio": 0.023914677095100492, "intrinsic_ratio": 0.02181667574221517, "projected_ratio": 0.022241221487623506, "geometric_ratio": 0.002098001352885324, "flat_reference_error": null, "flat_control_passed": null }, { "case": "u10_initial", "N": 544, "flat": false, "mode": 1, "qualified": true, "gates": { "topology_unchanged": true, "gradient_stable": true, "value_crosscheck": true, "surface_rate_stable": true }, "gradient_stability_normalized": 7.472722871329539e-09, "value_crosscheck_normalized": 8.294846991034418e-09, "surface_stability_normalized": 5.051745973595046e-11, "finest": { "mode": 1.0, "epsilon": 1e-05, "k_per_m": 9817.477042468103, "mass_kg": 1.6381306086366958e-10, "continuum_K_N_per_m": 0.7698927700320057, "full_K_N_per_m": 0.7737266577800247, "value_K_N_per_m": 0.773726469560643, "surface_K_N_per_m": 0.7553939964890816, "projected_K_N_per_m": 0.7505293269834075, "geometric_residual_K_N_per_m": 0.018332661290943065, "damping_per_s": 2946.149603878262, "velocity_projection_m_per_s": 0.0, "kinetic_fraction": 0.0, "kinetic_available": 0.0, "force_projection_N": -5.5661853211305916e-08, "topology_plus_equal": 1.0, "topology_minus_equal": 1.0, "flat_expected_K_N_per_m": 0.0, "flat_J_error": 0.0, "base_energy_J": 4.7993362490948975e-12, "plus_energy_J": 4.799330686778207e-12, "minus_energy_J": 4.799341819148852e-12 }, "full_ratio": 1.0049797684784851, "intrinsic_ratio": 0.9811678014039261, "projected_ratio": 0.9748491688682915, "geometric_ratio": 0.023811967074558897, "flat_reference_error": null, "flat_control_passed": null }, { "case": "u10_initial", "N": 544, "flat": false, "mode": 4, "qualified": true, "gates": { "topology_unchanged": true, "gradient_stable": true, "value_crosscheck": true, "surface_rate_stable": true }, "gradient_stability_normalized": 1.1680687488130811e-07, "value_crosscheck_normalized": 5.909537004804956e-08, "surface_stability_normalized": 4.4338375545040563e-10, "finest": { "mode": 4.0, "epsilon": 1e-05, "k_per_m": 39269.90816987241, "mass_kg": 1.843167284075694e-10, "continuum_K_N_per_m": 13.860102812196407, "full_K_N_per_m": 11.875507369617083, "value_K_N_per_m": 11.875507084369021, "surface_K_N_per_m": 11.539935673483727, "projected_K_N_per_m": 11.449601182590909, "geometric_residual_K_N_per_m": 0.33557169613335464, "damping_per_s": 11544.170516782122, "velocity_projection_m_per_s": 0.0, "kinetic_fraction": 0.0, "kinetic_available": 0.0, "force_projection_N": -2.6914501633460657e-08, "topology_plus_equal": 1.0, "topology_minus_equal": 1.0, "flat_expected_K_N_per_m": 0.0, "flat_J_error": 0.0, "base_energy_J": 4.7993362490948975e-12, "plus_energy_J": 4.7993336170222424e-12, "minus_energy_J": 4.799338999922624e-12 }, "full_ratio": 0.8568123577818665, "intrinsic_ratio": 0.8326010152918192, "projected_ratio": 0.8260834236031539, "geometric_ratio": 0.024211342490047277, "flat_reference_error": null, "flat_control_passed": null }, { "case": "u10_initial", "N": 544, "flat": false, "mode": 8, "qualified": true, "gates": { "topology_unchanged": true, "gradient_stable": true, "value_crosscheck": true, "surface_rate_stable": true }, "gradient_stability_normalized": 3.974593748282216e-07, "value_crosscheck_normalized": 2.0068838948537639e-07, "surface_stability_normalized": 1.4128785906953079e-09, "finest": { "mode": 8.0, "epsilon": 1e-05, "k_per_m": 78539.81633974482, "mass_kg": 1.8629759380976047e-10, "continuum_K_N_per_m": 56.03623341574122, "full_K_N_per_m": 41.11209081174467, "value_K_N_per_m": 41.11209165102992, "surface_K_N_per_m": 39.47428209649531, "projected_K_N_per_m": 39.155158914981826, "geometric_residual_K_N_per_m": 1.637808715249368, "damping_per_s": 35099.79711236815, "velocity_projection_m_per_s": 0.0, "kinetic_fraction": 0.0, "kinetic_available": 0.0, "force_projection_N": -5.318628406926757e-08, "topology_plus_equal": 1.0, "topology_minus_equal": 1.0, "flat_expected_K_N_per_m": 0.0, "flat_J_error": 0.0, "base_energy_J": 4.7993362490948975e-12, "plus_energy_J": 4.799331136026771e-12, "minus_energy_J": 4.799341773283941e-12 }, "full_ratio": 0.7336697758881812, "intrinsic_ratio": 0.70444210273074, "projected_ratio": 0.6987471592618266, "geometric_ratio": 0.029227673157441177, "flat_reference_error": null, "flat_control_passed": null }, { "case": "u10_initial", "N": 544, "flat": false, "mode": 12, "qualified": true, "gates": { "topology_unchanged": true, "gradient_stable": true, "value_crosscheck": true, "surface_rate_stable": true }, "gradient_stability_normalized": 6.900553826651706e-07, "value_crosscheck_normalized": 3.487634311440646e-07, "surface_stability_normalized": 2.201875462927016e-09, "finest": { "mode": 12.0, "epsilon": 1e-05, "k_per_m": 117809.72450961723, "mass_kg": 1.8496600077920745e-10, "continuum_K_N_per_m": 125.1803365184839, "full_K_N_per_m": 71.86954236945174, "value_K_N_per_m": 71.86954206872544, "surface_K_N_per_m": 67.83293002121619, "projected_K_N_per_m": 67.31728981220479, "geometric_residual_K_N_per_m": 4.036612348235547, "damping_per_s": 65502.17503085513, "velocity_projection_m_per_s": 0.0, "kinetic_fraction": 0.0, "kinetic_available": 0.0, "force_projection_N": -7.666313485079245e-08, "topology_plus_equal": 1.0, "topology_minus_equal": 1.0, "flat_expected_K_N_per_m": 0.0, "flat_J_error": 0.0, "base_energy_J": 4.7993362490948975e-12, "plus_energy_J": 4.799328942129027e-12, "minus_energy_J": 4.799344274756189e-12 }, "full_ratio": 0.5741280489275535, "intrinsic_ratio": 0.5418816717368394, "projected_ratio": 0.5377624927718967, "geometric_ratio": 0.03224637719071404, "flat_reference_error": null, "flat_control_passed": null }, { "case": "u10_initial", "N": 544, "flat": false, "mode": 16, "qualified": true, "gates": { "topology_unchanged": true, "gradient_stable": true, "value_crosscheck": true, "surface_rate_stable": true }, "gradient_stability_normalized": 6.289201679761679e-07, "value_crosscheck_normalized": 3.1772621368430066e-07, "surface_stability_normalized": 1.3005472497714347e-09, "finest": { "mode": 16.0, "epsilon": 1e-05, "k_per_m": 157079.63267948964, "mass_kg": 1.82928404470697e-10, "continuum_K_N_per_m": 220.09127571999912, "full_K_N_per_m": 87.70113199138198, "value_K_N_per_m": 87.70113367972955, "surface_K_N_per_m": 81.13705504247167, "projected_K_N_per_m": 80.64420713949534, "geometric_residual_K_N_per_m": 6.564076948910326, "damping_per_s": 94463.83618757348, "velocity_projection_m_per_s": 0.0, "kinetic_fraction": 0.0, "kinetic_available": 0.0, "force_projection_N": -9.828240239233046e-08, "topology_plus_equal": 1.0, "topology_minus_equal": 1.0, "flat_expected_K_N_per_m": 0.0, "flat_J_error": 0.0, "base_energy_J": 4.7993362490948975e-12, "plus_energy_J": 4.799326859358101e-12, "minus_energy_J": 4.799346515843032e-12 }, "full_ratio": 0.3984761854120727, "intrinsic_ratio": 0.36865184581734406, "projected_ratio": 0.36641255713420995, "geometric_ratio": 0.029824339594728723, "flat_reference_error": null, "flat_control_passed": null }, { "case": "u10_initial", "N": 544, "flat": false, "mode": 24, "qualified": true, "gates": { "topology_unchanged": true, "gradient_stable": true, "value_crosscheck": true, "surface_rate_stable": true }, "gradient_stability_normalized": 9.603684731641783e-07, "value_crosscheck_normalized": 4.848608824024777e-07, "surface_stability_normalized": 6.819779610847278e-09, "finest": { "mode": 24.0, "epsilon": 1e-05, "k_per_m": 235619.44901923445, "mass_kg": 1.7956552281784474e-10, "continuum_K_N_per_m": 486.1017155317579, "full_K_N_per_m": 58.389478305387215, "value_K_N_per_m": 58.389479562492866, "surface_K_N_per_m": 50.96802628152315, "projected_K_N_per_m": 51.26731976456405, "geometric_residual_K_N_per_m": 7.421452023864069, "damping_per_s": 130883.87167851647, "velocity_projection_m_per_s": 0.0, "kinetic_fraction": 0.0, "kinetic_available": 0.0, "force_projection_N": -1.2841815043486194e-07, "topology_plus_equal": 1.0, "topology_minus_equal": 1.0, "flat_expected_K_N_per_m": 0.0, "flat_J_error": 0.0, "base_energy_J": 4.7993362490948975e-12, "plus_energy_J": 4.79932369922018e-12, "minus_energy_J": 4.799349382864411e-12 }, "full_ratio": 0.12011781987132798, "intrinsic_ratio": 0.10485053776403165, "projected_ratio": 0.10546623911516449, "geometric_ratio": 0.015267282107296352, "flat_reference_error": null, "flat_control_passed": null }, { "case": "u10_initial", "N": 544, "flat": false, "mode": 32, "qualified": true, "gates": { "topology_unchanged": true, "gradient_stable": true, "value_crosscheck": true, "surface_rate_stable": true }, "gradient_stability_normalized": 2.0915835417826884e-06, "value_crosscheck_normalized": 1.0562502828185155e-06, "surface_stability_normalized": 2.3736668584612256e-08, "finest": { "mode": 32.0, "epsilon": 1e-05, "k_per_m": 314159.2653589793, "mass_kg": 3.6541521891684273e-10, "continuum_K_N_per_m": 1758.6050002812717, "full_K_N_per_m": 25.188773420456968, "value_K_N_per_m": 25.188774515072517, "surface_K_N_per_m": 18.623988641892613, "projected_K_N_per_m": 19.504368729251247, "geometric_residual_K_N_per_m": 6.564784778564357, "damping_per_s": 128391.41549252924, "velocity_projection_m_per_s": 0.0, "kinetic_fraction": 0.0, "kinetic_available": 0.0, "force_projection_N": -1.390077241431793e-07, "topology_plus_equal": 1.0, "topology_minus_equal": 1.0, "flat_expected_K_N_per_m": 0.0, "flat_J_error": 0.0, "base_energy_J": 4.7993362490948975e-12, "plus_energy_J": 4.799322474258797e-12, "minus_energy_J": 4.799350275818743e-12 }, "full_ratio": 0.014323155806123757, "intrinsic_ratio": 0.010590205668080034, "projected_ratio": 0.011090818419219616, "geometric_ratio": 0.0037329501380437245, "flat_reference_error": null, "flat_control_passed": null }, { "case": "u10_t10", "N": 544, "flat": false, "mode": 1, "qualified": true, "gates": { "topology_unchanged": true, "gradient_stable": true, "value_crosscheck": true, "surface_rate_stable": true }, "gradient_stability_normalized": 7.59223299602469e-09, "value_crosscheck_normalized": 4.741083458324407e-09, "surface_stability_normalized": 8.113359557495259e-11, "finest": { "mode": 1.0, "epsilon": 1e-05, "k_per_m": 9817.477042468103, "mass_kg": 1.637643745640513e-10, "continuum_K_N_per_m": 0.769663952928668, "full_K_N_per_m": 0.7757957852213438, "value_K_N_per_m": 0.7757954278986292, "surface_K_N_per_m": 0.7573963518567507, "projected_K_N_per_m": 0.7533381681816121, "geometric_residual_K_N_per_m": 0.018399433364593164, "damping_per_s": 2946.93750970124, "velocity_projection_m_per_s": 0.003062949397130426, "kinetic_fraction": 0.4286382011737806, "kinetic_available": 1.0, "force_projection_N": -4.266984531746691e-08, "topology_plus_equal": 1.0, "topology_minus_equal": 1.0, "flat_expected_K_N_per_m": 0.0, "flat_J_error": 0.0, "base_energy_J": 4.788813038678356e-12, "plus_energy_J": 4.788808775572795e-12, "minus_energy_J": 4.78881730954187e-12 }, "full_ratio": 1.0079668955124421, "intrinsic_ratio": 0.9840610944227834, "projected_ratio": 0.9787884248899352, "geometric_ratio": 0.023905801089658688, "flat_reference_error": null, "flat_control_passed": null }, { "case": "u10_t10", "N": 544, "flat": false, "mode": 4, "qualified": true, "gates": { "topology_unchanged": true, "gradient_stable": true, "value_crosscheck": true, "surface_rate_stable": true }, "gradient_stability_normalized": 1.1582551616216374e-07, "value_crosscheck_normalized": 5.873783514179312e-08, "surface_stability_normalized": 4.0969650367721907e-10, "finest": { "mode": 4.0, "epsilon": 1e-05, "k_per_m": 39269.90816987241, "mass_kg": 1.8435360085158006e-10, "continuum_K_N_per_m": 13.862875516927769, "full_K_N_per_m": 11.850572820918929, "value_K_N_per_m": 11.850571439708803, "surface_K_N_per_m": 11.51402966155412, "projected_K_N_per_m": 11.434697752920838, "geometric_residual_K_N_per_m": 0.33654315936480816, "damping_per_s": 11546.15419758068, "velocity_projection_m_per_s": 0.0004434930555148236, "kinetic_fraction": 0.010116192183753633, "kinetic_available": 1.0, "force_projection_N": 2.7030686506038534e-08, "topology_plus_equal": 1.0, "topology_minus_equal": 1.0, "flat_expected_K_N_per_m": 0.0, "flat_J_error": 0.0, "base_energy_J": 4.788813038678356e-12, "plus_energy_J": 4.788815800999857e-12, "minus_energy_J": 4.78881039486257e-12 }, "full_ratio": 0.8548423309758755, "intrinsic_ratio": 0.8305657543771849, "projected_ratio": 0.8248431387094318, "geometric_ratio": 0.0242765765986905, "flat_reference_error": null, "flat_control_passed": null }, { "case": "u10_t10", "N": 544, "flat": false, "mode": 8, "qualified": true, "gates": { "topology_unchanged": true, "gradient_stable": true, "value_crosscheck": true, "surface_rate_stable": true }, "gradient_stability_normalized": 3.9465608488168734e-07, "value_crosscheck_normalized": 1.9996410675002403e-07, "surface_stability_normalized": 1.3284847638352989e-09, "finest": { "mode": 8.0, "epsilon": 1e-05, "k_per_m": 78539.81633974482, "mass_kg": 1.8632309620981755e-10, "continuum_K_N_per_m": 56.04390425256223, "full_K_N_per_m": 41.063553891548516, "value_K_N_per_m": 41.063552629339036, "surface_K_N_per_m": 39.42283393466675, "projected_K_N_per_m": 39.13790758129169, "geometric_residual_K_N_per_m": 1.640719956881767, "damping_per_s": 35108.437782742636, "velocity_projection_m_per_s": -4.995155828365029e-05, "kinetic_fraction": 0.0001297049567975796, "kinetic_available": 1.0, "force_projection_N": 4.723944898054454e-08, "topology_plus_equal": 1.0, "topology_minus_equal": 1.0, "flat_expected_K_N_per_m": 0.0, "flat_J_error": 0.0, "base_energy_J": 4.788813038678356e-12, "plus_energy_J": 4.788817967940906e-12, "minus_energy_J": 4.788808520051333e-12 }, "full_ratio": 0.7327033053674372, "intrinsic_ratio": 0.7034276869257268, "projected_ratio": 0.6983437021967002, "geometric_ratio": 0.029275618441710477, "flat_reference_error": null, "flat_control_passed": null }, { "case": "u10_t10", "N": 544, "flat": false, "mode": 12, "qualified": true, "gates": { "topology_unchanged": true, "gradient_stable": true, "value_crosscheck": true, "surface_rate_stable": true }, "gradient_stability_normalized": 6.823093740750172e-07, "value_crosscheck_normalized": 3.4482343882174866e-07, "surface_stability_normalized": 2.1826442123197583e-09, "finest": { "mode": 12.0, "epsilon": 1e-05, "k_per_m": 117809.72450961723, "mass_kg": 1.8500674268885025e-10, "continuum_K_N_per_m": 125.2079096180698, "full_K_N_per_m": 71.75564775842186, "value_K_N_per_m": 71.75564647354805, "surface_K_N_per_m": 67.71465323614603, "projected_K_N_per_m": 67.24912453627131, "geometric_residual_K_N_per_m": 4.040994522275826, "damping_per_s": 65516.77086732658, "velocity_projection_m_per_s": -0.00019586486655240196, "kinetic_fraction": 0.001980124228619755, "kinetic_available": 1.0, "force_projection_N": -6.480697566025046e-09, "topology_plus_equal": 1.0, "topology_minus_equal": 1.0, "flat_expected_K_N_per_m": 0.0, "flat_J_error": 0.0, "base_energy_J": 4.788813038678356e-12, "plus_energy_J": 4.788812749386836e-12, "minus_energy_J": 4.78881404552634e-12 }, "full_ratio": 0.5730919714042266, "intrinsic_ratio": 0.5408176962837303, "projected_ratio": 0.5370996508240244, "geometric_ratio": 0.03227427512049635, "flat_reference_error": null, "flat_control_passed": null }, { "case": "u10_t10", "N": 544, "flat": false, "mode": 16, "qualified": true, "gates": { "topology_unchanged": true, "gradient_stable": true, "value_crosscheck": true, "surface_rate_stable": true }, "gradient_stability_normalized": 6.138168510127203e-07, "value_crosscheck_normalized": 3.102901657438243e-07, "surface_stability_normalized": 1.2992285408830686e-09, "finest": { "mode": 16.0, "epsilon": 1e-05, "k_per_m": 157079.63267948964, "mass_kg": 1.831315695306223e-10, "continuum_K_N_per_m": 220.33571483458095, "full_K_N_per_m": 87.59261442078204, "value_K_N_per_m": 87.59261262980546, "surface_K_N_per_m": 81.01477114844762, "projected_K_N_per_m": 80.55384476867175, "geometric_residual_K_N_per_m": 6.577843272334416, "damping_per_s": 94446.3935839038, "velocity_projection_m_per_s": -0.000356666973374182, "kinetic_fraction": 0.0064995128897222835, "kinetic_available": 1.0, "force_projection_N": -2.836204074033203e-08, "topology_plus_equal": 1.0, "topology_minus_equal": 1.0, "flat_expected_K_N_per_m": 0.0, "flat_J_error": 0.0, "base_energy_J": 4.788813038678356e-12, "plus_energy_J": 4.788810640435317e-12, "minus_energy_J": 4.788816312847522e-12 }, "full_ratio": 0.39754160820701717, "intrinsic_ratio": 0.3676878766988375, "projected_ratio": 0.3655959490232815, "geometric_ratio": 0.029853731508179653, "flat_reference_error": null, "flat_control_passed": null }, { "case": "u10_t10", "N": 544, "flat": false, "mode": 24, "qualified": true, "gates": { "topology_unchanged": true, "gradient_stable": true, "value_crosscheck": true, "surface_rate_stable": true }, "gradient_stability_normalized": 9.192840543925119e-07, "value_crosscheck_normalized": 4.64718514080242e-07, "surface_stability_normalized": 6.930624641075304e-09, "finest": { "mode": 24.0, "epsilon": 1e-05, "k_per_m": 235619.44901923445, "mass_kg": 1.7960245668254056e-10, "continuum_K_N_per_m": 486.2016991739857, "full_K_N_per_m": 58.10318928841768, "value_K_N_per_m": 58.10318839394314, "surface_K_N_per_m": 50.68398672342743, "projected_K_N_per_m": 50.94154797950315, "geometric_residual_K_N_per_m": 7.4192025649902495, "damping_per_s": 130904.56789298073, "velocity_projection_m_per_s": -0.0005712215550340101, "kinetic_fraction": 0.016349830180335482, "kinetic_available": 1.0, "force_projection_N": -7.023122179988502e-09, "topology_plus_equal": 1.0, "topology_minus_equal": 1.0, "flat_expected_K_N_per_m": 0.0, "flat_J_error": 0.0, "base_energy_J": 4.788813038678356e-12, "plus_energy_J": 4.788812626875306e-12, "minus_energy_J": 4.78881403151329e-12 }, "full_ratio": 0.11950429088818476, "intrinsic_ratio": 0.1042447749761778, "projected_ratio": 0.1047745165556772, "geometric_ratio": 0.015259515912006947, "flat_reference_error": null, "flat_control_passed": null }, { "case": "u10_t10", "N": 544, "flat": false, "mode": 32, "qualified": true, "gates": { "topology_unchanged": true, "gradient_stable": true, "value_crosscheck": true, "surface_rate_stable": true }, "gradient_stability_normalized": 2.0068884673472094e-06, "value_crosscheck_normalized": 1.0139839167078426e-06, "surface_stability_normalized": 2.4033791495908113e-08, "finest": { "mode": 32.0, "epsilon": 1e-05, "k_per_m": 314159.2653589793, "mass_kg": 3.6541876240602555e-10, "continuum_K_N_per_m": 1758.6220537521529, "full_K_N_per_m": 24.847804468226094, "value_K_N_per_m": 24.84780381450947, "surface_K_N_per_m": 18.282770578858976, "projected_K_N_per_m": 19.070088457949225, "geometric_residual_K_N_per_m": 6.565033889367118, "damping_per_s": 128382.88310575337, "velocity_projection_m_per_s": 0.000142822218740519, "kinetic_fraction": 0.002079573106886422, "kinetic_available": 1.0, "force_projection_N": -6.6260761729457565e-09, "topology_plus_equal": 1.0, "topology_minus_equal": 1.0, "flat_expected_K_N_per_m": 0.0, "flat_J_error": 0.0, "base_energy_J": 4.788813038678356e-12, "plus_energy_J": 4.788812500302536e-12, "minus_energy_J": 4.788813825532214e-12 }, "full_ratio": 0.014129132757781257, "intrinsic_ratio": 0.0103960771672636, "projected_ratio": 0.01084376737870525, "geometric_ratio": 0.0037330555905176572, "flat_reference_error": null, "flat_control_passed": null } ]