Octo-TIGER radiation results

All norms/orders CSV · Conservation CSV

Norms use the full 3D domain: L1 = Σ|e|ΔV/V; L2 = √(Σe²ΔV/V); L∞ = max|e|. Orders compare matching physical times and configurations. Zero errors have no reported order.

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.

NE L1E L2E L∞p(L1)p(L2)p(L∞)
322.019307e-055.151584e-056.424667e-04———
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

Energy sliceProfiles and errors
Flux mapsfxfyfz

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.

FieldScaleFinal R/scaleFinal |R|/scaleMaximum |R|/scale
erabs(initial_energy)-6.682576e-176.682576e-171.143749e-16
fxc * abs(initial_energy)-2.929058e-212.929058e-213.024223e-21
fyc * abs(initial_energy)6.401787e-206.401787e-206.714955e-20
fzc * abs(initial_energy)3.943254e-203.943254e-204.048357e-20

Budget summary CSV · Raw history CSV · Fraction history CSV

Conservation budgets

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.

NE L1E L2E L∞p(L1)p(L2)p(L∞)
327.385814e-062.283424e-051.813365e-04———
641.065226e-063.016476e-062.410265e-05———
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

Energy sliceProfiles and errors
Flux mapsfxfyfz

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.

FieldScaleFinal R/scaleFinal |R|/scaleMaximum |R|/scale
erabs(initial_energy)-1.667907e-161.667907e-161.667907e-16
fxc * abs(initial_energy)5.885946e-235.885946e-231.766284e-22
fyc * abs(initial_energy)3.282321e-223.282321e-223.282321e-22
fzc * abs(initial_energy)4.189887e-224.189887e-224.189887e-22

Budget summary CSV · Raw history CSV · Fraction history CSV

Conservation budgets
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

Energy sliceProfiles and errors
Flux mapsfxfyfz

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.

FieldScaleFinal R/scaleFinal |R|/scaleMaximum |R|/scale
erabs(initial_energy)0.000000e+000.000000e+000.000000e+00
fxc * abs(initial_energy)-6.048019e-236.048019e-231.214705e-22
fyc * abs(initial_energy)1.571282e-231.571282e-234.531920e-23
fzc * abs(initial_energy)6.007892e-236.007892e-231.093190e-22

Budget summary CSV · Raw history CSV · Fraction history CSV

Conservation budgets

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.

NE L1E L2E L∞p(L1)p(L2)p(L∞)
325.825905e-021.963974e-018.907747e-01———
642.876046e-021.117458e-016.246538e-01———
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

Energy sliceProfiles and errors
Flux mapsfxfyfz

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.

FieldScaleFinal R/scaleFinal |R|/scaleMaximum |R|/scale
erbath_energy * volume-2.775558e-172.775558e-172.775558e-17
fxc * bath_energy * volume0.000000e+000.000000e+001.387779e-17
fyc * bath_energy * volume-6.425456e-246.425456e-248.518024e-24
fzc * bath_energy * volume-7.252637e-247.252637e-241.311381e-23

Budget summary CSV · Raw history CSV · Fraction history CSV

Conservation budgets
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

Energy sliceProfiles and errors
Flux mapsfxfyfz

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.

FieldScaleFinal R/scaleFinal |R|/scaleMaximum |R|/scale
erbath_energy * volume1.040834e-171.040834e-171.734723e-17
fxc * bath_energy * volume0.000000e+000.000000e+002.775558e-17
fyc * bath_energy * volume1.385972e-231.385972e-231.777738e-23
fzc * bath_energy * volume3.293657e-233.293657e-233.929472e-23

Budget summary CSV · Raw history CSV · Fraction history CSV

Conservation budgets

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.

Gas and radiation temperature and densityNumerical gas and radiation profiles

Profile data CSV

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

Gas and radiation temperature and densityNumerical gas and radiation profiles

Profile data CSV

streaming_front

Exact nonlinear M1 streaming reference.

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

NE L1E L2E L∞p(L1)p(L2)p(L∞)
327.860673e-021.450336e-014.117855e-01———
647.342051e-021.396349e-013.979217e-01———
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

Energy sliceProfiles and errors
Flux mapsfxfyfz

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.

FieldScaleFinal R/scaleFinal |R|/scaleMaximum |R|/scale
erabs(initial_energy)-3.336000e-163.336000e-163.336000e-16
fxabs(initial_component)3.823448e-163.823448e-163.823448e-16
fyc * abs(initial_energy)0.000000e+000.000000e+000.000000e+00
fzc * abs(initial_energy)0.000000e+000.000000e+000.000000e+00

Budget summary CSV · Raw history CSV · Fraction history CSV

Conservation budgets
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

Energy sliceProfiles and errors
Flux mapsfxfyfz

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.

FieldScaleFinal R/scaleFinal |R|/scaleMaximum |R|/scale
erabs(initial_energy)-1.668000e-161.668000e-161.668000e-16
fxabs(initial_component)1.911724e-161.911724e-161.911724e-16
fyc * abs(initial_energy)0.000000e+000.000000e+000.000000e+00
fzc * abs(initial_energy)0.000000e+000.000000e+000.000000e+00

Budget summary CSV · Raw history CSV · Fraction history CSV

Conservation budgets

streaming_wave

Exact nonlinear M1 streaming reference.

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

NE L1E L2E L∞p(L1)p(L2)p(L∞)
325.075526e-026.418457e-021.191588e-01———
644.639050e-025.446053e-021.012121e-01———
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

Energy sliceProfiles and errors
Flux mapsfxfyfz

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.

FieldScaleFinal R/scaleFinal |R|/scaleMaximum |R|/scale
erabs(initial_energy)0.000000e+000.000000e+000.000000e+00
fxabs(initial_component)1.788254e-161.788254e-161.788254e-16
fyabs(initial_component)0.000000e+000.000000e+000.000000e+00
fzabs(initial_component)1.788254e-161.788254e-161.788254e-16

Budget summary CSV · Raw history CSV · Fraction history CSV

Conservation budgets
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

Energy sliceProfiles and errors
Flux mapsfxfyfz

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.

FieldScaleFinal R/scaleFinal |R|/scaleMaximum |R|/scale
erabs(initial_energy)0.000000e+000.000000e+000.000000e+00
fxabs(initial_component)0.000000e+000.000000e+000.000000e+00
fyabs(initial_component)0.000000e+000.000000e+000.000000e+00
fzabs(initial_component)0.000000e+000.000000e+000.000000e+00

Budget summary CSV · Raw history CSV · Fraction history CSV

Conservation budgets