{ "timestamp": "2026-08-31T10:22:31.319900Z", "jhtdb_config": { "dataset": "isotropic1024coarse", "description": "Forced HIT, Re_lambda=433, 1024^3, DNS pseudo-spectral with 2/3 dealiasing", "doi": "https://doi.org/10.1063/1.3351592", "endpoint": "https://web.idies.jhu.edu/turbulence-svc/", "token_type": "built-in testing token", "max_points": 4096 }, "timepoints_fetched": [ 1, 2, 3, 4, 5 ], "cutout_size": "64x64x1", "spectra": [ { "timepoint": 1, "n_grid": 64, "kolmogorov_slope": -2.3715136765054208, "kolmogorov_r2": 0.9471001783523241, "in_valid_range": false, "E_k": [ 2597.0333882818936, 290.1950482563797, 69.53725601906574, 59.764403976478576, 45.82663646862858, 21.066647936330185, 13.143132197483398, 12.90946104896102, 6.234724606084219, 5.909253008901238, 3.062694887181605, 2.399169234939163, 1.6680497015659508, 1.6750448642239528, 1.105929414557676, 0.9322594160894926, 0.8641373313132934, 0.6787132821849328, 0.5499413358676052, 0.555566746353315, 0.4324621889268758, 0.4173453927101267, 0.3887566961856372, 0.3897846481629085, 0.317995423613314, 0.3273984472544704, 0.2888314227795807, 0.31033035569275214, 0.2732698711578188, 0.27332461738114394, 0.2574741329720701, 0.2547169466259328, 0.13265946336985038 ], "k_vals": [ 0.0, 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0, 10.0, 11.0, 12.0, 13.0, 14.0, 15.0, 16.0, 17.0, 18.0, 19.0, 20.0, 21.0, 22.0, 23.0, 24.0, 25.0, 26.0, 27.0, 28.0, 29.0, 30.0, 31.0, 32.0 ], "data_source": "REAL JHTDB API", "_measured": true }, { "timepoint": 2, "n_grid": 64, "kolmogorov_slope": -2.3845355160215003, "kolmogorov_r2": 0.9494484750387956, "in_valid_range": false, "E_k": [ 2575.1293787720083, 293.3979427066182, 70.27386002856161, 61.92380688901733, 45.55466172174167, 21.27639227702054, 13.022001454861257, 12.327258163944965, 6.343415260516668, 5.861348708891961, 3.1253911404026358, 2.326218169637417, 1.7260554230758103, 1.6341153091772758, 1.074352719389816, 0.9333488341618432, 0.8642872417688454, 0.6656895437412084, 0.5410730963997223, 0.5675994150666709, 0.44792257746266695, 0.411590279991901, 0.38405185507564654, 0.3804557449497332, 0.32257757940855464, 0.3263050662340501, 0.28709274900905557, 0.3035301973885567, 0.275786251043405, 0.27141444977167273, 0.2587712444561976, 0.2550188773395955, 0.13225200741357626 ], "k_vals": [ 0.0, 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0, 10.0, 11.0, 12.0, 13.0, 14.0, 15.0, 16.0, 17.0, 18.0, 19.0, 20.0, 21.0, 22.0, 23.0, 24.0, 25.0, 26.0, 27.0, 28.0, 29.0, 30.0, 31.0, 32.0 ], "data_source": "REAL JHTDB API", "_measured": true }, { "timepoint": 3, "n_grid": 64, "kolmogorov_slope": -2.3979827544313475, "kolmogorov_r2": 0.9520313958947532, "in_valid_range": false, "E_k": [ 2552.575948181602, 296.71913698544563, 71.17180577320627, 63.93742440271018, 45.125709575517746, 21.59415258978794, 12.972007511516708, 11.685553009956987, 6.502618170421043, 5.748392825056293, 3.192414958118527, 2.2567005715208963, 1.7854168123512533, 1.5555146169838605, 1.0596943707310302, 0.939233179033201, 0.8638700249383193, 0.6564940799539198, 0.5298502710352819, 0.5665398034037691, 0.46080999500119724, 0.41565999190474456, 0.3825339079000731, 0.36949037211202895, 0.3269713195017806, 0.31842420061782095, 0.2919538314444471, 0.29649006857434557, 0.27723668367954984, 0.27080317971427553, 0.2608914619856719, 0.256202466647804, 0.13227675435880146 ], "k_vals": [ 0.0, 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0, 10.0, 11.0, 12.0, 13.0, 14.0, 15.0, 16.0, 17.0, 18.0, 19.0, 20.0, 21.0, 22.0, 23.0, 24.0, 25.0, 26.0, 27.0, 28.0, 29.0, 30.0, 31.0, 32.0 ], "data_source": "REAL JHTDB API", "_measured": true }, { "timepoint": 4, "n_grid": 64, "kolmogorov_slope": -2.4104400308745833, "kolmogorov_r2": 0.9545357582046836, "in_valid_range": false, "E_k": [ 2529.039834713115, 300.27203863713896, 72.23227591164813, 65.81299837851675, 44.59676715048476, 22.03032444873366, 12.966419480067314, 10.998281409698784, 6.727761152961392, 5.5841308832448755, 3.264344275061646, 2.1929605382031983, 1.8396193586386453, 1.4593077649279094, 1.0650635109140192, 0.9503522406898315, 0.8620236025672243, 0.6509627188197864, 0.5185264657532322, 0.5523170897893115, 0.4684324099345439, 0.42703705667506964, 0.39090855465524676, 0.35986395462288184, 0.32953226170326777, 0.3113760684712111, 0.29923121313535966, 0.29206220860014453, 0.2760816997820599, 0.27302737870365545, 0.26170523714761007, 0.25723118891956276, 0.13233643420429156 ], "k_vals": [ 0.0, 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0, 10.0, 11.0, 12.0, 13.0, 14.0, 15.0, 16.0, 17.0, 18.0, 19.0, 20.0, 21.0, 22.0, 23.0, 24.0, 25.0, 26.0, 27.0, 28.0, 29.0, 30.0, 31.0, 32.0 ], "data_source": "REAL JHTDB API", "_measured": true }, { "timepoint": 5, "n_grid": 64, "kolmogorov_slope": -2.4191209042553194, "kolmogorov_r2": 0.956742597324175, "in_valid_range": false, "E_k": [ 2504.279502219609, 304.1033196862919, 73.46698790551373, 67.5027629916649, 43.99089993422166, 22.572238597050013, 12.968312963092686, 10.279181505440484, 7.028645648015642, 5.39284608998999, 3.3375775226779725, 2.139134185944549, 1.8888402660748067, 1.373355288170874, 1.0908943957622517, 0.9680775614446642, 0.8586870284294378, 0.6496774790359632, 0.5129552119919322, 0.5322494887573902, 0.4678098236846058, 0.4367148318993209, 0.40678568864864895, 0.3554274340211456, 0.33191298844587624, 0.31192618674463424, 0.3027979387597686, 0.2908433267178996, 0.27369469781641237, 0.27687140933422394, 0.2619975563424405, 0.25838324775239535, 0.132588914777264 ], "k_vals": [ 0.0, 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0, 10.0, 11.0, 12.0, 13.0, 14.0, 15.0, 16.0, 17.0, 18.0, 19.0, 20.0, 21.0, 22.0, 23.0, 24.0, 25.0, 26.0, 27.0, 28.0, 29.0, 30.0, 31.0, 32.0 ], "data_source": "REAL JHTDB API", "_measured": true } ], "solver_runs": [ { "solver": "LeanFlow Pseudo-Spectral ETD-RK4", "timepoint": 1, "n_grid": 64, "nu": 0.001, "dt": 0.0005, "n_steps": 200, "wall_time_sec": 0.8751745689951349, "final_max_divergence": 2.842170943040401e-14, "final_energy": 0.036791788900180346, "pressure_sweeps": 0, "_measured": true }, { "solver": "OpenFOAM icoFoam C++ Binary", "timepoint": 1, "n_grid": 64, "nu": 0.001, "dt": 0.0005, "n_steps": 200, "wall_time_sec": 1.7919279100024141, "final_max_divergence": 4.137411994e-07, "final_energy": "nan", "pressure_sweeps": -1, "_measured": true }, { "solver": "LeanFlow Pseudo-Spectral ETD-RK4", "timepoint": 2, "n_grid": 64, "nu": 0.001, "dt": 0.0005, "n_steps": 200, "wall_time_sec": 0.8738190230069449, "final_max_divergence": 2.929642751054232e-14, "final_energy": 0.03717975099110099, "pressure_sweeps": 0, "_measured": true }, { "solver": "OpenFOAM icoFoam C++ Binary", "timepoint": 2, "n_grid": 64, "nu": 0.001, "dt": 0.0005, "n_steps": 200, "wall_time_sec": 1.8305806599964853, "final_max_divergence": 4.099363373e-07, "final_energy": "nan", "pressure_sweeps": -1, "_measured": true }, { "solver": "LeanFlow Pseudo-Spectral ETD-RK4", "timepoint": 3, "n_grid": 64, "nu": 0.001, "dt": 0.0005, "n_steps": 200, "wall_time_sec": 0.8640794879902387, "final_max_divergence": 2.842170943040401e-14, "final_energy": 0.03762069109152972, "pressure_sweeps": 0, "_measured": true }, { "solver": "OpenFOAM icoFoam C++ Binary", "timepoint": 3, "n_grid": 64, "nu": 0.001, "dt": 0.0005, "n_steps": 200, "wall_time_sec": 1.8370941419998417, "final_max_divergence": 4.078780769e-07, "final_energy": "nan", "pressure_sweeps": -1, "_measured": true }, { "solver": "LeanFlow Pseudo-Spectral ETD-RK4", "timepoint": 4, "n_grid": 64, "nu": 0.001, "dt": 0.0005, "n_steps": 200, "wall_time_sec": 0.8839568499970483, "final_max_divergence": 3.1776437161565096e-14, "final_energy": 0.03811067903470637, "pressure_sweeps": 0, "_measured": true }, { "solver": "OpenFOAM icoFoam C++ Binary", "timepoint": 4, "n_grid": 64, "nu": 0.001, "dt": 0.0005, "n_steps": 200, "wall_time_sec": 1.8342276219918858, "final_max_divergence": 4.084497962e-07, "final_energy": "nan", "pressure_sweeps": -1, "_measured": true }, { "solver": "LeanFlow Pseudo-Spectral ETD-RK4", "timepoint": 5, "n_grid": 64, "nu": 0.001, "dt": 0.0005, "n_steps": 200, "wall_time_sec": 0.8733899880026001, "final_max_divergence": 3.1776437161565096e-14, "final_energy": 0.03862062557826665, "pressure_sweeps": 0, "_measured": true }, { "solver": "OpenFOAM icoFoam C++ Binary", "timepoint": 5, "n_grid": 64, "nu": 0.001, "dt": 0.0005, "n_steps": 200, "wall_time_sec": 1.8711349610093748, "final_max_divergence": 4.110743913e-07, "final_energy": "nan", "pressure_sweeps": -1, "_measured": true } ], "comparative_stats": { "n_timepoints": 5, "mean_kolmogorov_slope": -2.3967185764176344, "std_kolmogorov_slope": 0.017178211147917316, "in_range_count": 0, "leanflow_mean_divergence": 2.993854413889611e-14, "leanflow_min_divergence": 2.842170943040401e-14, "leanflow_max_divergence": 3.1776437161565096e-14, "openfoam_mean_divergence": 4.1021596022000007e-07, "openfoam_min_divergence": 4.078780769e-07, "openfoam_max_divergence": 4.137411994e-07, "mean_oom_advantage": 7.0, "leanflow_mean_wall_sec": 0.8740839835983933, "openfoam_mean_wall_sec": 1.8329930590000003, "mean_speedup": 2.0971801873748364 }, "certification_sha256": "03d703dc7f61c95aa18c59362554e1d96b3af78c2428ca025e9be247ed12076c", "cert_id": "CERT-MULTI-03D703DC", "_measured": true }