32³ cells · actual final time 2.200000e+04 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 2.000000e+13 cm; centered at the origin |
| Resolution | 32³ cells; finest Δx = 6.250000e+11 cm |
| Final comparison time | 2.200000e+04 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 | 110 s |
| Output interval | 183.33333333333334 s |
{
"background": 0.0,
"benchmark_time": 22000.0,
"c": 29979245800.0,
"case": "radiating_blast",
"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-radiating_blast-fld/radiating_blast/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": "110",
"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_BLAST_WAVE",
"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": "22000",
"unigrid": "on",
"xscale": "10000000000000"
},
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"atomic_number": "1",
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"code_to_s": "1",
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"datadir": "/ddnB/work/dmarce1/octotiger-m1-fld-20261014/campaign/runs/l2-radiating_blast-fld/radiating_blast/l2/",
"disable_analytic": "on",
"disable_diagnostics": "on",
"disable_output": "off",
"eos": "IDEAL",
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"hard_dt": "110",
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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": "183.33333333333334",
"omega": "0",
"periodic": "off",
"problem": "RADIATION_BLAST_WAVE",
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"radiation_backend": "cpu",
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"executable_sha256": "ca38f12e338eed0b7074dbb15c70c089a8d31d1c12aa87f5b044c42824721f0b",
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],
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"inx": 8,
"length": 20000000000000.0,
"level": 2,
"movie_capture": {
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"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": 22000.0,
"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"
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"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
Radiating Blast · L2 · FLD backward Euler
121 stored states; 121 shown. Physical time: 0–22000 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, 220, 440, 660, 770, 990, 1210, 1320, 1540, 1650, 1870, 2090, 2310, 2420, 2640, 2860, 2970, 3190, 3300, 3520, 3740, 3850, 4070, 4290, 4510, 4620, 4840, 5060, 5170, 5390, 5610, 5720, 5940, 6050, 6270, 6490, 6600, 6820, 7040, 7150, 7370, 7590, 7700, 7920, 8140, 8360, 8470, 8690, 8910, 9020, 9240, 9460, 9570, 9790, 10010, 10120, 10340, 10560, 10670, 10890, 11110, 11220, 11440, 11660, 11770, 11990, 12100, 12320, 12540, 12650, 12870, 13090, 13200, 13420, 13640, 13750, 13970, 14190, 14300, 14520, 14740, 14850, 15070, 15290, 15400, 15620, 15840, 15950, 16170, 16390, 16610, 16720, 16940, 17160, 17270, 17490, 17710, 17820, 18040, 18260, 18370, 18590, 18810, 18920, 19140, 19360, 19470, 19690, 19910, 20020, 20240, 20460, 20570, 20790, 21010, 21120, 21340, 21560, 21670, 21890, 22000 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. 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.
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.
{
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"coupled_energy_normalization": {
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"maximum_step_conservation_error_normalized": 3.5455864298313923e-13,
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"radiation_equation_maximum_residual_normalized": 2.483568208075503e-11,
"value": 1.0004870049690307e+47
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"history_end_time": 22000.0,
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"maximum_nonlinear_residual": 9.978487510918042e-11,
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"history_scope": "full_run",
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"initial": 5.343052794285326e+40,
"initial_fraction": 1.0,
"integral_units": "erg",
"max_abs_residual": 2.4847777181337625e+36,
"max_normalized_error": 4.650483185925773e-05,
"normalization_basis": "abs(initial_energy)",
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"slice_physical_bounds": {
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