32³ cells · actual final time 7.500000e+03 s
Central cell layer at z=dx/2; ray at y=z=dx/2.
First-order mixed-frame gas/radiation evolution with physical light speed. Derived lab-frame flux includes radiation enthalpy advection. No independent analytic or digitized reference profile is supplied; M1 differences are model discrepancies.
Mixed-frame FLD with first-order gas transport and backward-Euler diffusion/material exchange; physical c = 29979245800 cm/s. Radiation flux is the derived lab-frame diffusion plus enthalpy-advection flux; it is not an independently evolved momentum variable. No independent analytic or digitized FLD reference profile is supplied. M1 versus FLD differences compare distinct radiation models and are not analytic-reference errors.
Recorded setup and run provenance
| Origin | Octo-TIGER application |
|---|---|
| Domain | Cube of side 7.000000e+10 cm; centered at the origin |
| Resolution | 32³ cells; finest Δx = 2.187500e+09 cm |
| Final comparison time | 7.500000e+03 s |
| Radiation model | FLD |
| Radiation integration | FLD backward Euler (first order in time) |
| Flux semantics | Derived lab-frame FLD flux: F = -D grad E + (E I + P) v |
| Analytic reference | No independent analytic or digitized benchmark profile supplied |
| Reference norm scope | No analytic-profile norms or convergence orders |
| Radiation backend | cpu |
| Physical light speed | 2.997925e+10 cm/s |
| Reduced-speed factor α | 1.000000e+00 |
| Radiation transport speed | 2.997925e+10 cm/s |
| Periodic boundaries | off |
| Hydrodynamics | on |
| Gravity | off |
| Implicit radiation source | on |
| Uniform grid | on |
| CFL | 0.4 |
| Timestep cap | 37.5 s |
| Output interval | 62.5 s |
{
"background": 0.0,
"benchmark_time": 7500.0,
"c": 29979245800.0,
"case": "supercritical_shock",
"cells": 32,
"command": [
"/ddnB/work/dmarce1/octotiger-m1-fld-20261014/campaign/control/launch-solver",
"/ddnB/work/dmarce1/octotiger-m1-fld-20261014/build/octotiger",
"--config_file=/ddnB/work/dmarce1/octotiger-m1-fld-20261014/campaign/runs/l2-supercritical_shock-fld/supercritical_shock/l2/run.ini",
"--hpx:threads=64"
],
"comparison_signature": {
"atomic_mass": "1",
"atomic_number": "1",
"cfl": "0.4",
"code_to_cm": "1",
"code_to_g": "1",
"code_to_s": "1",
"correct_am_hydro": "off",
"disable_analytic": "on",
"disable_diagnostics": "on",
"eos": "IDEAL",
"gravity": "off",
"hard_dt": "37.5",
"hydro": "on",
"hydro_device_kernel_type": "OFF",
"hydro_host_kernel_type": "LEGACY",
"inflow_bc": "off",
"monopole_device_kernel_type": "OFF",
"multipole_device_kernel_type": "OFF",
"n_species": "1",
"omega": "0",
"periodic": "off",
"problem": "RADIATION_SUPERCRITICAL_SHOCK",
"rad_implicit": "on",
"radiation": "on",
"radiation_algorithm_version": 2,
"radiation_integrator": "backward_euler",
"radiation_limiter": "levermore_pomraning",
"radiation_model": "fld",
"radiation_reduced_c_factor": "1",
"reflect_bc": "off",
"stop_time": "7500",
"unigrid": "on",
"xscale": "35000000000"
},
"config": {
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"atomic_number": "1",
"cfl": "0.4",
"code_to_cm": "1",
"code_to_g": "1",
"code_to_s": "1",
"correct_am_hydro": "off",
"datadir": "/ddnB/work/dmarce1/octotiger-m1-fld-20261014/campaign/runs/l2-supercritical_shock-fld/supercritical_shock/l2/",
"disable_analytic": "on",
"disable_diagnostics": "on",
"disable_output": "off",
"eos": "IDEAL",
"gravity": "off",
"hard_dt": "37.5",
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"hydro_device_kernel_type": "OFF",
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"inflow_bc": "off",
"max_level": "2",
"min_level": "2",
"monopole_device_kernel_type": "OFF",
"multipole_device_kernel_type": "OFF",
"n_species": "1",
"odt": "62.5",
"omega": "0",
"periodic": "off",
"problem": "RADIATION_SUPERCRITICAL_SHOCK",
"rad_implicit": "on",
"radiation": "on",
"radiation_backend": "cpu",
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"radiation_limiter": "levermore_pomraning",
"radiation_model": "fld",
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"executable_sha256": "ca38f12e338eed0b7074dbb15c70c089a8d31d1c12aa87f5b044c42824721f0b",
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],
"substeps": 400
},
"inx": 8,
"length": 70000000000.0,
"level": 2,
"movie_capture": {
"hard_dt": 37.5,
"odt": 62.5,
"requested_snapshots": 121,
"steps_per_output_check": 1
},
"origin": "Octo-TIGER application",
"physical_c": 29979245800.0,
"radiation_algorithm_version": 2,
"radiation_backend": "cpu",
"radiation_equations": "mixed-frame physical-c FLD radiation hydrodynamics",
"radiation_flux_semantics": "derived_fld_lab_flux",
"radiation_frame": "mixed",
"radiation_hydro_scheme": "first_order_conservative",
"radiation_integrator": "backward_euler",
"radiation_limiter": "levermore_pomraning",
"radiation_model": "fld",
"radiation_reduced_c_factor": 1.0,
"reference_exact_for_solver": false,
"reference_kind": "unavailable",
"reference_model": "none",
"reference_sampling": "none",
"status": "complete",
"time": 7500.0,
"transport_c": 29979245800.0,
"units": {
"chi": "1/cm",
"energy_density": "erg/cm^3",
"flux": "erg/(cm^2 s)",
"length": "cm",
"luminosity": "erg/s",
"mass": "g",
"source": "erg/(cm^3 s)",
"system": "CGS",
"time": "s"
},
"validation_scope": "First-order mixed-frame gas/radiation evolution with physical light speed. Derived lab-frame flux includes radiation enthalpy advection. No independent analytic or digitized reference profile is supplied; M1 differences are model discrepancies."
}
Saved-state movie
Supercritical Shock · L2 · FLD backward Euler
121 stored states; 121 shown. Physical time: 0–7500 s. Playback: 60 s.
Zero-order hold; no solution interpolation. Playback holds each saved numerical state over its time interval and includes endpoint holds.
All 121 snapshot times
Snapshot times: 0, 75, 150, 187.5, 262.5, 337.5, 375, 450, 525, 562.5, 637.5, 712.5, 750, 825, 900, 937.5, 1012.5, 1087.5, 1125, 1200, 1275, 1312.5, 1387.5, 1462.5, 1500, 1575, 1650, 1687.5, 1762.5, 1837.5, 1875, 1950, 2025, 2062.5, 2137.5, 2212.5, 2250, 2325, 2400, 2437.5, 2512.5, 2587.5, 2625, 2700, 2775, 2812.5, 2887.5, 2962.5, 3000, 3075, 3150, 3187.5, 3262.5, 3337.5, 3375, 3450, 3525, 3562.5, 3637.5, 3712.5, 3750, 3825, 3900, 3937.5, 4012.5, 4087.5, 4125, 4200, 4275, 4312.5, 4387.5, 4462.5, 4500, 4575, 4650, 4687.5, 4762.5, 4837.5, 4875, 4950, 5025, 5062.5, 5137.5, 5212.5, 5250, 5325, 5400, 5437.5, 5512.5, 5587.5, 5625, 5700, 5775, 5812.5, 5887.5, 5962.5, 6000, 6075, 6150, 6187.5, 6262.5, 6337.5, 6375, 6450, 6525, 6562.5, 6637.5, 6712.5, 6750, 6825, 6900, 6937.5, 7012.5, 7087.5, 7125, 7200, 7275, 7312.5, 7387.5, 7462.5, 7500 s.
Arrows show derived lab-frame FLD flux -D grad(E) + (E I + P)·v, including radiation enthalpy advection; radiation momentum is not an independently evolved field. Arrows have equal length and show direction only.
Movies show numerical mixed-frame radiation hydrodynamics. No independent analytic or digitized benchmark profile is supplied.
Central z=0+ radiation energy slice with faint cell mesh and equal-length flux direction arrows. Arrows show derived lab-frame FLD flux -D grad(E) + (E I + P)·v, including radiation enthalpy advection; radiation momentum is not an independently evolved field. Gray density contours and a matching density/velocity panel. Synchronized gas and radiation temperature profiles along the central x line appear below the maps. Fixed color limits; actual stored Silo times held without solution interpolation. Movies show numerical mixed-frame radiation hydrodynamics. No independent analytic or digitized benchmark profile is supplied. The maps show the full simulation domain without cropping. The temperature profile also spans the full domain.
Download MP4 · Rendering and timing metadata · Full run report
Implicit solve and energy balances
Radiation-relative imbalance and the raw accepted-step coupled error are reported separately. A gas-dominated shock can have a much larger radiation-relative imbalance than its residual normalized by gas plus radiation energy.
{
"accepted_steps": 200,
"coupled_energy_normalization": {
"basis": "initial full-volume gas plus radiation energy",
"maximum_step_conservation_error_normalized": 1.9981929527400244e-16,
"note": "Radiation-relative residuals remain in radiation_energy_budget. Scaling a radiation-only residual by total energy is not a separate proof of combined gas-plus-radiation conservation.",
"radiation_equation_maximum_residual_normalized": 6.8292525680488344e-15,
"value": 5.368456239275141e+35
},
"history_end_time": 7500.0,
"history_start_time": 0.0,
"maximum_nonlinear_residual": 9.99033511729093e-11,
"maximum_step_coupled_conservation_error": 1.0727211424412801e+20,
"radiation_energy_budget": {
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"boundary_fraction": 0.6861625168994581,
"field": "er",
"final": 2.4599671595418726e+32,
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"history_scope": "full_run",
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"initial": 3.070500001523553e+25,
"initial_fraction": 1.0,
"integral_units": "erg",
"max_abs_residual": 3.6662543558527544e+21,
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"normalization_basis": "abs(initial_energy)",
"normalization_scale": 3.070500001523553e+25,
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"raw_change": 2.4599668524918723e+32,
"residual": 3.576650737666591e+21,
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"zero_initial_flux_relative_tolerance": 1.4210854715202004e-14
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"reference_kind": "unavailable",
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"retries": 200,
"slice_physical_bounds": {
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},
{
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},
{
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"linear_residual": 1.3613882937172853e-11,
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},
{
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},
{
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}
],
"substeps": 400
}Data and reproducibility
Effective configurationRun metadataRaw conservation segmentSolver logNumerical slice CSVData unitsFinal numerical Silo (local file; excluded from staged site)