Octo-TIGER radiation results

equilibrium_sphere

Steady diffusion-limit reference; finite-flux nonlinear M1 can have a model error floor.

Adaptive leaf-volume norms are reported without uniform-grid convergence orders.

AMR levels 1–2; 32768 active cells; finest equivalent 32³

AMR: positive-side cells touching z=0, projected as constant leaf averages. Centers have z=leaf_dx/2; the ray similarly touches y=0. This is not a common cell-center plane. Raw CSV preserves native cells; display CSV repeats coarse values on finest pixels, retaining source dx/z. Full-volume norms use actual leaf volumes; uniform-grid convergence orders are not reported. Paired values CSV · Profiles PDF

Flux maps

Radiation conservation

R = Q(t) − Q(t_ref) + B(t) − S(t). B is cumulative outward transport; S is the signed source change. Flux integrals divided by c² give radiation momentum. The reference is the first recorded time (zero unless labeled as a resumed segment). All plotted totals and residuals use its fixed reference magnitude |Q(t_ref)|. Zero/negligible reference flux uses the labeled fixed scale c|E(t_ref)|. Neither denominator changes during the run.

Field	Scale	Final R/scale	Final |R|/scale	Maximum |R|/scale
er	abs(initial_energy)	-1.220855e-17	1.220855e-17	1.082706e-16
fx	c * abs(initial_energy)	-6.732022e-20	6.732022e-20	8.140189e-20
fy	c * abs(initial_energy)	-5.035690e-21	5.035690e-21	3.671769e-20
fz	c * abs(initial_energy)	-1.323045e-20	1.323045e-20	1.754766e-20

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gaussian_pulse

Linearized telegraph-equation reference; finite-amplitude nonlinear M1 can have a model error floor. Energy excess uses a logarithmic display with a labeled floor; signed errors and fluxes remain linear.

Adaptive leaf-volume norms are reported without uniform-grid convergence orders.

AMR levels 1–2; 4096 active cells; finest equivalent 32³

AMR: positive-side cells touching z=0, projected as constant leaf averages. Centers have z=leaf_dx/2; the ray similarly touches y=0. This is not a common cell-center plane. Raw CSV preserves native cells; display CSV repeats coarse values on finest pixels, retaining source dx/z. Full-volume norms use actual leaf volumes; uniform-grid convergence orders are not reported. Paired values CSV · Profiles PDF

Flux maps

Radiation conservation

R = Q(t) − Q(t_ref) + B(t) − S(t). B is cumulative outward transport; S is the signed source change. Flux integrals divided by c² give radiation momentum. The reference is the first recorded time (zero unless labeled as a resumed segment). All plotted totals and residuals use its fixed reference magnitude |Q(t_ref)|. Zero/negligible reference flux uses the labeled fixed scale c|E(t_ref)|. Neither denominator changes during the run.

Field	Scale	Final R/scale	Final |R|/scale	Maximum |R|/scale
er	abs(initial_energy)	-1.176023e-16	1.176023e-16	1.311540e-16
fx	c * abs(initial_energy)	-4.050312e-22	4.050312e-22	4.658629e-22
fy	c * abs(initial_energy)	1.143752e-22	1.143752e-22	4.112902e-22
fz	c * abs(initial_energy)	7.513281e-23	7.513281e-23	5.820936e-22

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AMR levels 2–3; 262144 active cells; finest equivalent 64³

AMR: positive-side cells touching z=0, projected as constant leaf averages. Centers have z=leaf_dx/2; the ray similarly touches y=0. This is not a common cell-center plane. Raw CSV preserves native cells; display CSV repeats coarse values on finest pixels, retaining source dx/z. Full-volume norms use actual leaf volumes; uniform-grid convergence orders are not reported. Paired values CSV · Profiles PDF

Flux maps

Radiation conservation

R = Q(t) − Q(t_ref) + B(t) − S(t). B is cumulative outward transport; S is the signed source change. Flux integrals divided by c² give radiation momentum. The reference is the first recorded time (zero unless labeled as a resumed segment). All plotted totals and residuals use its fixed reference magnitude |Q(t_ref)|. Zero/negligible reference flux uses the labeled fixed scale c|E(t_ref)|. Neither denominator changes during the run.

Field	Scale	Final R/scale	Final |R|/scale	Maximum |R|/scale
er	abs(initial_energy)	-1.082393e-16	1.082393e-16	1.361660e-16
fx	c * abs(initial_energy)	-5.975171e-23	5.975171e-23	6.516504e-23
fy	c * abs(initial_energy)	-1.038261e-23	1.038261e-23	1.211534e-22
fz	c * abs(initial_energy)	3.231164e-23	3.231164e-23	9.754414e-23

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marshak

Steady diffusion-limit reference; finite-flux nonlinear M1 can have a model error floor.

Adaptive leaf-volume norms are reported without uniform-grid convergence orders.

AMR levels 1–2; 18432 active cells; finest equivalent 32³

AMR: positive-side cells touching z=0, projected as constant leaf averages. Centers have z=leaf_dx/2; the ray similarly touches y=0. This is not a common cell-center plane. Raw CSV preserves native cells; display CSV repeats coarse values on finest pixels, retaining source dx/z. Full-volume norms use actual leaf volumes; uniform-grid convergence orders are not reported. Paired values CSV · Profiles PDF

Flux maps

Radiation conservation

R = Q(t) − Q(t_ref) + B(t) − S(t). B is cumulative outward transport; S is the signed source change. Flux integrals divided by c² give radiation momentum. The reference is the first recorded time (zero unless labeled as a resumed segment). All plotted totals and residuals use its fixed reference magnitude |Q(t_ref)|. Zero/negligible reference flux uses the labeled fixed scale c|E(t_ref)|. Neither denominator changes during the run.

Field	Scale	Final R/scale	Final |R|/scale	Maximum |R|/scale
er	bath_energy * volume	0.000000e+00	0.000000e+00	1.734723e-18
fx	c * bath_energy * volume	1.387779e-17	1.387779e-17	1.387779e-17
fy	c * bath_energy * volume	-1.329193e-24	1.329193e-24	2.332750e-24
fz	c * bath_energy * volume	1.359144e-24	1.359144e-24	5.309491e-24

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AMR levels 2–3; 90112 active cells; finest equivalent 64³

AMR: positive-side cells touching z=0, projected as constant leaf averages. Centers have z=leaf_dx/2; the ray similarly touches y=0. This is not a common cell-center plane. Raw CSV preserves native cells; display CSV repeats coarse values on finest pixels, retaining source dx/z. Full-volume norms use actual leaf volumes; uniform-grid convergence orders are not reported. Paired values CSV · Profiles PDF

Flux maps

Radiation conservation

R = Q(t) − Q(t_ref) + B(t) − S(t). B is cumulative outward transport; S is the signed source change. Flux integrals divided by c² give radiation momentum. The reference is the first recorded time (zero unless labeled as a resumed segment). All plotted totals and residuals use its fixed reference magnitude |Q(t_ref)|. Zero/negligible reference flux uses the labeled fixed scale c|E(t_ref)|. Neither denominator changes during the run.

Field	Scale	Final R/scale	Final |R|/scale	Maximum |R|/scale
er	bath_energy * volume	1.734723e-18	1.734723e-18	1.734723e-18
fx	c * bath_energy * volume	0.000000e+00	0.000000e+00	1.387779e-17
fy	c * bath_energy * volume	-4.898877e-24	4.898877e-24	6.393763e-24
fz	c * bath_energy * volume	1.583234e-23	1.583234e-23	1.934104e-23

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radiating_blast

Coupled radiation hydrodynamics. These numerical profiles have no supplied analytic reference or accuracy norms.

AMR levels 1–2; 32768 active cells; finest equivalent 32³; t=4000 s

Early-time implementation check. This run stops before the configured benchmark time and does not validate the developed shock or blast.

Physical-light-speed radiation equations (alpha = 1); c = 29979245800 cm/s.

AMR: positive-side cells touching z=0, projected as constant leaf averages. Centers have z=leaf_dx/2; the ray similarly touches y=0. This is not a common cell-center plane. Raw CSV preserves native cells; display CSV repeats coarse values on finest pixels, retaining source dx/z. Full-volume norms use actual leaf volumes; uniform-grid convergence orders are not reported.

Profile data CSV

streaming_front

Exact nonlinear M1 streaming reference.

Adaptive leaf-volume norms are reported without uniform-grid convergence orders.

AMR levels 1–2; 4096 active cells; finest equivalent 32³

AMR: positive-side cells touching z=0, projected as constant leaf averages. Centers have z=leaf_dx/2; the ray similarly touches y=0. This is not a common cell-center plane. Raw CSV preserves native cells; display CSV repeats coarse values on finest pixels, retaining source dx/z. Full-volume norms use actual leaf volumes; uniform-grid convergence orders are not reported. Paired values CSV · Profiles PDF

Flux maps

Radiation conservation

R = Q(t) − Q(t_ref) + B(t) − S(t). B is cumulative outward transport; S is the signed source change. Flux integrals divided by c² give radiation momentum. The reference is the first recorded time (zero unless labeled as a resumed segment). All plotted totals and residuals use its fixed reference magnitude |Q(t_ref)|. Zero/negligible reference flux uses the labeled fixed scale c|E(t_ref)|. Neither denominator changes during the run.

Field	Scale	Final R/scale	Final |R|/scale	Maximum |R|/scale
er	abs(initial_energy)	-6.385415e-17	6.385415e-17	1.218033e-16
fx	abs(initial_component)	-2.356071e-14	2.356071e-14	2.356071e-14
fy	c * abs(initial_energy)	0.000000e+00	0.000000e+00	0.000000e+00
fz	c * abs(initial_energy)	0.000000e+00	0.000000e+00	0.000000e+00

Budget summary CSV · Raw history CSV · Fraction history CSV

AMR levels 2–3; 32768 active cells; finest equivalent 64³

AMR: positive-side cells touching z=0, projected as constant leaf averages. Centers have z=leaf_dx/2; the ray similarly touches y=0. This is not a common cell-center plane. Raw CSV preserves native cells; display CSV repeats coarse values on finest pixels, retaining source dx/z. Full-volume norms use actual leaf volumes; uniform-grid convergence orders are not reported. Paired values CSV · Profiles PDF

Flux maps

Radiation conservation

R = Q(t) − Q(t_ref) + B(t) − S(t). B is cumulative outward transport; S is the signed source change. Flux integrals divided by c² give radiation momentum. The reference is the first recorded time (zero unless labeled as a resumed segment). All plotted totals and residuals use its fixed reference magnitude |Q(t_ref)|. Zero/negligible reference flux uses the labeled fixed scale c|E(t_ref)|. Neither denominator changes during the run.

Field	Scale	Final R/scale	Final |R|/scale	Maximum |R|/scale
er	abs(initial_energy)	-1.011202e-16	1.011202e-16	1.247160e-16
fx	abs(initial_component)	-3.725986e-14	3.725986e-14	3.725986e-14
fy	c * abs(initial_energy)	0.000000e+00	0.000000e+00	0.000000e+00
fz	c * abs(initial_energy)	0.000000e+00	0.000000e+00	0.000000e+00

Budget summary CSV · Raw history CSV · Fraction history CSV

AMR levels 3–4; 262144 active cells; finest equivalent 128³

AMR: positive-side cells touching z=0, projected as constant leaf averages. Centers have z=leaf_dx/2; the ray similarly touches y=0. This is not a common cell-center plane. Raw CSV preserves native cells; display CSV repeats coarse values on finest pixels, retaining source dx/z. Full-volume norms use actual leaf volumes; uniform-grid convergence orders are not reported. Paired values CSV · Profiles PDF

Flux maps

Radiation conservation

R = Q(t) − Q(t_ref) + B(t) − S(t). B is cumulative outward transport; S is the signed source change. Flux integrals divided by c² give radiation momentum. The reference is the first recorded time (zero unless labeled as a resumed segment). All plotted totals and residuals use its fixed reference magnitude |Q(t_ref)|. Zero/negligible reference flux uses the labeled fixed scale c|E(t_ref)|. Neither denominator changes during the run.

Field	Scale	Final R/scale	Final |R|/scale	Maximum |R|/scale
er	abs(initial_energy)	-7.334783e-17	7.334783e-17	1.272573e-16
fx	abs(initial_component)	-6.229240e-14	6.229240e-14	6.229240e-14
fy	c * abs(initial_energy)	0.000000e+00	0.000000e+00	0.000000e+00
fz	c * abs(initial_energy)	0.000000e+00	0.000000e+00	0.000000e+00

Budget summary CSV · Raw history CSV · Fraction history CSV

streaming_wave

Exact nonlinear M1 streaming reference.

Adaptive leaf-volume norms are reported without uniform-grid convergence orders.

AMR levels 1–2; 32768 active cells; finest equivalent 32³

AMR: positive-side cells touching z=0, projected as constant leaf averages. Centers have z=leaf_dx/2; the ray similarly touches y=0. This is not a common cell-center plane. Raw CSV preserves native cells; display CSV repeats coarse values on finest pixels, retaining source dx/z. Full-volume norms use actual leaf volumes; uniform-grid convergence orders are not reported. Paired values CSV · Profiles PDF

Flux maps

Radiation conservation

R = Q(t) − Q(t_ref) + B(t) − S(t). B is cumulative outward transport; S is the signed source change. Flux integrals divided by c² give radiation momentum. The reference is the first recorded time (zero unless labeled as a resumed segment). All plotted totals and residuals use its fixed reference magnitude |Q(t_ref)|. Zero/negligible reference flux uses the labeled fixed scale c|E(t_ref)|. Neither denominator changes during the run.

Field	Scale	Final R/scale	Final |R|/scale	Maximum |R|/scale
er	abs(initial_energy)	-3.406620e-17	3.406620e-17	1.211989e-16
fx	abs(initial_component)	-8.491556e-15	8.491556e-15	8.491556e-15
fy	abs(initial_component)	7.766787e-15	7.766787e-15	7.766787e-15
fz	abs(initial_component)	-8.475805e-15	8.475805e-15	8.475805e-15

Budget summary CSV · Raw history CSV · Fraction history CSV

AMR levels 2–3; 262144 active cells; finest equivalent 64³

AMR: positive-side cells touching z=0, projected as constant leaf averages. Centers have z=leaf_dx/2; the ray similarly touches y=0. This is not a common cell-center plane. Raw CSV preserves native cells; display CSV repeats coarse values on finest pixels, retaining source dx/z. Full-volume norms use actual leaf volumes; uniform-grid convergence orders are not reported. Paired values CSV · Profiles PDF

Flux maps

Radiation conservation

R = Q(t) − Q(t_ref) + B(t) − S(t). B is cumulative outward transport; S is the signed source change. Flux integrals divided by c² give radiation momentum. The reference is the first recorded time (zero unless labeled as a resumed segment). All plotted totals and residuals use its fixed reference magnitude |Q(t_ref)|. Zero/negligible reference flux uses the labeled fixed scale c|E(t_ref)|. Neither denominator changes during the run.

Field	Scale	Final R/scale	Final |R|/scale	Maximum |R|/scale
er	abs(initial_energy)	6.703246e-17	6.703246e-17	1.299249e-16
fx	abs(initial_component)	-1.682286e-14	1.682286e-14	1.682286e-14
fy	abs(initial_component)	1.632243e-14	1.632243e-14	1.632243e-14
fz	abs(initial_component)	-1.683533e-14	1.683533e-14	1.683533e-14

Budget summary CSV · Raw history CSV · Fraction history CSV