Campaign results · Model comparisons

M1 RK1 and FLD movies

19 movies available from 19 completed runs.

These movies show saved numerical states. Intermediate solution states are not reconstructed.

Streaming Wave · L2 · M1 RK1

121 stored states; 121 shown. Physical time: 0–0.2 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, 0.00166666667, 0.00333333333, 0.005, 0.007, 0.00866666667, 0.0103333333, 0.012, 0.0136666667, 0.0153333333, 0.017, 0.0183333333, 0.02, 0.0216666667, 0.0233333333, 0.025, 0.0266666667, 0.0283333333, 0.03, 0.0316666667, 0.0333333333, 0.035, 0.0366666667, 0.0383333333, 0.04, 0.0416666667, 0.0436666667, 0.0453333333, 0.047, 0.0486666667, 0.0503333333, 0.052, 0.0536666667, 0.0553333333, 0.057, 0.0586666667, 0.0603333333, 0.062, 0.0636666667, 0.0653333333, 0.067, 0.0686666667, 0.0703333333, 0.0716666667, 0.0733333333, 0.075, 0.0766666667, 0.0783333333, 0.08, 0.0816666667, 0.0833333333, 0.085, 0.0866666667, 0.0883333333, 0.09, 0.0916666667, 0.0933333333, 0.095, 0.0966666667, 0.0983333333, 0.1, 0.101666667, 0.103333333, 0.105, 0.106666667, 0.108333333, 0.11, 0.111666667, 0.113333333, 0.115, 0.116666667, 0.118333333, 0.12, 0.121666667, 0.123333333, 0.125, 0.126666667, 0.128333333, 0.13, 0.131666667, 0.133333333, 0.135, 0.136666667, 0.138333333, 0.14, 0.141666667, 0.143333333, 0.145, 0.146666667, 0.148333333, 0.15, 0.151666667, 0.153333333, 0.155333333, 0.157, 0.158666667, 0.160333333, 0.162, 0.163666667, 0.165333333, 0.167, 0.168666667, 0.170333333, 0.172, 0.173666667, 0.175333333, 0.177, 0.178666667, 0.180333333, 0.182, 0.183666667, 0.185333333, 0.187, 0.188666667, 0.190333333, 0.192, 0.193666667, 0.195333333, 0.197, 0.198666667, 0.2 s.

Arrows show the independently evolved M1 radiation flux. Arrows have equal length and show direction only.

Movies show numerical states at explicit positive opacity. Final profiles use the zero-opacity analytic solution only as a free-streaming-limit reference.

Central z=0+ radiation energy slice with faint cell mesh and equal-length flux direction arrows. Arrows show the independently evolved M1 radiation flux. Fixed color limits; actual stored Silo times held without solution interpolation. Movies show numerical states at explicit positive opacity. Final profiles use the zero-opacity analytic solution only as a free-streaming-limit reference. The maps show the full simulation domain without cropping.

Download MP4 · Rendering and timing metadata · Full run report

Streaming Wave · L2 · FLD backward Euler

121 stored states; 121 shown. Physical time: 0–0.2 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, 0.002, 0.004, 0.005, 0.007, 0.009, 0.01, 0.012, 0.014, 0.015, 0.017, 0.019, 0.02, 0.022, 0.024, 0.025, 0.027, 0.029, 0.03, 0.032, 0.034, 0.035, 0.037, 0.039, 0.04, 0.042, 0.044, 0.045, 0.047, 0.049, 0.05, 0.052, 0.054, 0.055, 0.057, 0.059, 0.06, 0.062, 0.064, 0.065, 0.067, 0.069, 0.07, 0.072, 0.074, 0.075, 0.077, 0.079, 0.08, 0.082, 0.084, 0.085, 0.087, 0.089, 0.09, 0.092, 0.094, 0.095, 0.097, 0.099, 0.1, 0.102, 0.104, 0.105, 0.107, 0.109, 0.11, 0.112, 0.114, 0.115, 0.117, 0.119, 0.12, 0.122, 0.124, 0.125, 0.127, 0.129, 0.13, 0.132, 0.134, 0.135, 0.137, 0.139, 0.14, 0.142, 0.144, 0.145, 0.147, 0.149, 0.15, 0.152, 0.154, 0.155, 0.157, 0.159, 0.16, 0.162, 0.164, 0.165, 0.167, 0.169, 0.17, 0.172, 0.174, 0.175, 0.177, 0.179, 0.18, 0.182, 0.184, 0.185, 0.187, 0.189, 0.19, 0.192, 0.194, 0.195, 0.197, 0.199, 0.2 s.

Arrows show derived FLD diagnostic flux -D grad(E); radiation momentum is not evolved. Arrows have equal length and show direction only.

Movies show saved numerical states. No nonlinear FLD spatial analytic reference is supplied for this benchmark; the M1 streaming profile is not an FLD reference. The final-time report includes exact invariant checks.

Central z=0+ radiation energy slice with faint cell mesh and equal-length flux direction arrows. Arrows show derived FLD diagnostic flux -D grad(E); radiation momentum is not evolved. Fixed color limits; actual stored Silo times held without solution interpolation. Movies show saved numerical states. No nonlinear FLD spatial analytic reference is supplied for this benchmark; the M1 streaming profile is not an FLD reference. The final-time report includes exact invariant checks. The maps show the full simulation domain without cropping.

Download MP4 · Rendering and timing metadata · Full run report

Streaming Front · L2 · M1 RK1

121 stored states; 121 shown. Physical time: 0–0.2 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, 0.00166666667, 0.00333333333, 0.005, 0.007, 0.00866666667, 0.0103333333, 0.012, 0.0136666667, 0.0153333333, 0.017, 0.0183333333, 0.02, 0.0216666667, 0.0233333333, 0.025, 0.0266666667, 0.0283333333, 0.03, 0.0316666667, 0.0333333333, 0.035, 0.0366666667, 0.0383333333, 0.04, 0.0416666667, 0.0436666667, 0.0453333333, 0.047, 0.0486666667, 0.0503333333, 0.052, 0.0536666667, 0.0553333333, 0.057, 0.0586666667, 0.0603333333, 0.062, 0.0636666667, 0.0653333333, 0.067, 0.0686666667, 0.0703333333, 0.0716666667, 0.0733333333, 0.075, 0.0766666667, 0.0783333333, 0.08, 0.0816666667, 0.0833333333, 0.085, 0.0866666667, 0.0883333333, 0.09, 0.0916666667, 0.0933333333, 0.095, 0.0966666667, 0.0983333333, 0.1, 0.101666667, 0.103333333, 0.105, 0.106666667, 0.108333333, 0.11, 0.111666667, 0.113333333, 0.115, 0.116666667, 0.118333333, 0.12, 0.121666667, 0.123333333, 0.125, 0.126666667, 0.128333333, 0.13, 0.131666667, 0.133333333, 0.135, 0.136666667, 0.138333333, 0.14, 0.141666667, 0.143333333, 0.145, 0.146666667, 0.148333333, 0.15, 0.151666667, 0.153333333, 0.155333333, 0.157, 0.158666667, 0.160333333, 0.162, 0.163666667, 0.165333333, 0.167, 0.168666667, 0.170333333, 0.172, 0.173666667, 0.175333333, 0.177, 0.178666667, 0.180333333, 0.182, 0.183666667, 0.185333333, 0.187, 0.188666667, 0.190333333, 0.192, 0.193666667, 0.195333333, 0.197, 0.198666667, 0.2 s.

Arrows show the independently evolved M1 radiation flux. Arrows have equal length and show direction only.

Movies show numerical states at explicit positive opacity. Final profiles use the zero-opacity analytic solution only as a free-streaming-limit reference.

Central z=0+ radiation energy slice with faint cell mesh and equal-length flux direction arrows. Arrows show the independently evolved M1 radiation flux. Fixed color limits; actual stored Silo times held without solution interpolation. Movies show numerical states at explicit positive opacity. Final profiles use the zero-opacity analytic solution only as a free-streaming-limit reference. The maps show the full simulation domain without cropping.

Download MP4 · Rendering and timing metadata · Full run report

Streaming Front · L2 · FLD backward Euler

121 stored states; 121 shown. Physical time: 0–0.2 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, 0.002, 0.004, 0.005, 0.007, 0.009, 0.01, 0.012, 0.014, 0.015, 0.017, 0.019, 0.02, 0.022, 0.024, 0.025, 0.027, 0.029, 0.03, 0.032, 0.034, 0.035, 0.037, 0.039, 0.04, 0.042, 0.044, 0.045, 0.047, 0.049, 0.05, 0.052, 0.054, 0.055, 0.057, 0.059, 0.06, 0.062, 0.064, 0.065, 0.067, 0.069, 0.07, 0.072, 0.074, 0.075, 0.077, 0.079, 0.08, 0.082, 0.084, 0.085, 0.087, 0.089, 0.09, 0.092, 0.094, 0.095, 0.097, 0.099, 0.1, 0.102, 0.104, 0.105, 0.107, 0.109, 0.11, 0.112, 0.114, 0.115, 0.117, 0.119, 0.12, 0.122, 0.124, 0.125, 0.127, 0.129, 0.13, 0.132, 0.134, 0.135, 0.137, 0.139, 0.14, 0.142, 0.144, 0.145, 0.147, 0.149, 0.15, 0.152, 0.154, 0.155, 0.157, 0.159, 0.16, 0.162, 0.164, 0.165, 0.167, 0.169, 0.17, 0.172, 0.174, 0.175, 0.177, 0.179, 0.18, 0.182, 0.184, 0.185, 0.187, 0.189, 0.19, 0.192, 0.194, 0.195, 0.197, 0.199, 0.2 s.

Arrows show derived FLD diagnostic flux -D grad(E); radiation momentum is not evolved. Arrows have equal length and show direction only.

Movies show saved numerical states. No nonlinear FLD spatial analytic reference is supplied for this benchmark; the M1 streaming profile is not an FLD reference. The final-time report includes exact invariant checks.

Central z=0+ radiation energy slice with faint cell mesh and equal-length flux direction arrows. Arrows show derived FLD diagnostic flux -D grad(E); radiation momentum is not evolved. Fixed color limits; actual stored Silo times held without solution interpolation. Movies show saved numerical states. No nonlinear FLD spatial analytic reference is supplied for this benchmark; the M1 streaming profile is not an FLD reference. The final-time report includes exact invariant checks. The maps show the full simulation domain without cropping.

Download MP4 · Rendering and timing metadata · Full run report

Gaussian Pulse · L2 · M1 RK1

121 stored states; 121 shown. Physical time: 0–1.5 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, 0.0125, 0.0275, 0.0375, 0.05, 0.0625, 0.075, 0.0875, 0.1, 0.1125, 0.125, 0.1375, 0.15, 0.1625, 0.175, 0.1875, 0.2, 0.2125, 0.225, 0.2375, 0.25, 0.2625, 0.275, 0.2875, 0.3, 0.3125, 0.325, 0.3375, 0.35, 0.3625, 0.375, 0.3875, 0.4, 0.4125, 0.425, 0.4375, 0.45, 0.4625, 0.475, 0.4875, 0.5, 0.5125, 0.5275, 0.54, 0.5525, 0.565, 0.5775, 0.59, 0.6025, 0.615, 0.6275, 0.64, 0.6525, 0.665, 0.6775, 0.69, 0.7025, 0.715, 0.7275, 0.74, 0.7525, 0.765, 0.7775, 0.79, 0.8025, 0.815, 0.8275, 0.84, 0.8525, 0.865, 0.8775, 0.89, 0.9025, 0.915, 0.9275, 0.94, 0.9525, 0.965, 0.9775, 0.99, 1.0025, 1.015, 1.0275, 1.04, 1.0525, 1.065, 1.0775, 1.09, 1.1025, 1.115, 1.1275, 1.14, 1.1525, 1.165, 1.1775, 1.19, 1.2025, 1.215, 1.2275, 1.24, 1.2525, 1.265, 1.2775, 1.29, 1.3025, 1.315, 1.3275, 1.34, 1.3525, 1.365, 1.3775, 1.39, 1.4025, 1.415, 1.4275, 1.44, 1.4525, 1.465, 1.4775, 1.49, 1.5 s.

Arrows show the independently evolved M1 radiation flux. Arrows have equal length and show direction only.

Movies show saved numerical states; see the final-time run report for analytic-reference applicability.

Central z=0+ radiation energy slice with faint cell mesh and equal-length flux direction arrows. Arrows show the independently evolved M1 radiation flux. Gaussian energy excess above the recorded background uses a labeled logarithmic floor. Fixed color limits; actual stored Silo times held without solution interpolation. Movies show saved numerical states; see the final-time run report for analytic-reference applicability. The maps show the full simulation domain without cropping.

Download MP4 · Rendering and timing metadata · Full run report

Gaussian Pulse · L2 · FLD backward Euler

121 stored states; 121 shown. Physical time: 0–1.5 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, 0.0125, 0.025, 0.0375, 0.05625, 0.06875, 0.075, 0.0875, 0.1, 0.1125, 0.125, 0.1375, 0.15, 0.1625, 0.175, 0.1875, 0.2, 0.2125, 0.225, 0.2375, 0.25, 0.2625, 0.275, 0.2875, 0.30625, 0.31875, 0.33125, 0.34375, 0.35625, 0.36875, 0.38125, 0.39375, 0.40625, 0.41875, 0.43125, 0.44375, 0.45625, 0.46875, 0.48125, 0.49375, 0.50625, 0.51875, 0.53125, 0.54375, 0.55625, 0.56875, 0.58125, 0.59375, 0.60625, 0.61875, 0.63125, 0.64375, 0.65625, 0.66875, 0.68125, 0.69375, 0.70625, 0.71875, 0.73125, 0.74375, 0.75625, 0.76875, 0.78125, 0.79375, 0.80625, 0.81875, 0.83125, 0.84375, 0.85625, 0.86875, 0.88125, 0.89375, 0.90625, 0.91875, 0.93125, 0.94375, 0.95625, 0.96875, 0.98125, 0.99375, 1.00625, 1.01875, 1.03125, 1.04375, 1.05625, 1.06875, 1.08125, 1.09375, 1.10625, 1.11875, 1.13125, 1.14375, 1.15625, 1.16875, 1.18125, 1.1875, 1.2, 1.2125, 1.225, 1.2375, 1.25, 1.2625, 1.275, 1.2875, 1.3, 1.3125, 1.325, 1.3375, 1.35, 1.3625, 1.375, 1.3875, 1.4, 1.4125, 1.425, 1.4375, 1.45, 1.4625, 1.475, 1.4875, 1.5 s.

Arrows show derived FLD diagnostic flux -D grad(E); radiation momentum is not evolved. Arrows have equal length and show direction only.

Final-time profiles compare FLD with a linear diffusion-limit analytic reference, not an exact solution of nonlinear flux-limited diffusion. The movie shows numerical states only.

Central z=0+ radiation energy slice with faint cell mesh and equal-length flux direction arrows. Arrows show derived FLD diagnostic flux -D grad(E); radiation momentum is not evolved. Gaussian energy excess above the recorded background uses a labeled logarithmic floor. Fixed color limits; actual stored Silo times held without solution interpolation. Final-time profiles compare FLD with a linear diffusion-limit analytic reference, not an exact solution of nonlinear flux-limited diffusion. The movie shows numerical states only. The maps show the full simulation domain without cropping.

Download MP4 · Rendering and timing metadata · Full run report

Equilibrium Sphere · L2 · M1 RK1

121 stored states; 121 shown. Physical time: 0–0.2 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, 0.00166666667, 0.00333333333, 0.005, 0.007, 0.00866666667, 0.0103333333, 0.012, 0.0136666667, 0.0153333333, 0.017, 0.0183333333, 0.02, 0.0216666667, 0.0233333333, 0.025, 0.0266666667, 0.0283333333, 0.03, 0.0316666667, 0.0333333333, 0.035, 0.0366666667, 0.0383333333, 0.04, 0.0416666667, 0.0436666667, 0.0453333333, 0.047, 0.0486666667, 0.0503333333, 0.052, 0.0536666667, 0.0553333333, 0.057, 0.0586666667, 0.0603333333, 0.062, 0.0636666667, 0.0653333333, 0.067, 0.0686666667, 0.0703333333, 0.0716666667, 0.0733333333, 0.075, 0.0766666667, 0.0783333333, 0.08, 0.0816666667, 0.0833333333, 0.085, 0.0866666667, 0.0883333333, 0.09, 0.0916666667, 0.0933333333, 0.095, 0.0966666667, 0.0983333333, 0.1, 0.101666667, 0.103333333, 0.105, 0.106666667, 0.108333333, 0.11, 0.111666667, 0.113333333, 0.115, 0.116666667, 0.118333333, 0.12, 0.121666667, 0.123333333, 0.125, 0.126666667, 0.128333333, 0.13, 0.131666667, 0.133333333, 0.135, 0.136666667, 0.138333333, 0.14, 0.141666667, 0.143333333, 0.145, 0.146666667, 0.148333333, 0.15, 0.151666667, 0.153333333, 0.155333333, 0.157, 0.158666667, 0.160333333, 0.162, 0.163666667, 0.165333333, 0.167, 0.168666667, 0.170333333, 0.172, 0.173666667, 0.175333333, 0.177, 0.178666667, 0.180333333, 0.182, 0.183666667, 0.185333333, 0.187, 0.188666667, 0.190333333, 0.192, 0.193666667, 0.195333333, 0.197, 0.198666667, 0.2 s.

Arrows show the independently evolved M1 radiation flux. Arrows have equal length and show direction only.

Movies show saved numerical states; see the final-time run report for analytic-reference applicability.

Central z=0+ radiation energy slice with faint cell mesh and equal-length flux direction arrows. Arrows show the independently evolved M1 radiation flux. Fixed color limits; actual stored Silo times held without solution interpolation. Movies show saved numerical states; see the final-time run report for analytic-reference applicability. The maps show the full simulation domain without cropping.

Download MP4 · Rendering and timing metadata · Full run report

Equilibrium Sphere · L2 · FLD backward Euler

121 stored states; 121 shown. Physical time: 0–0.2 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, 0.002, 0.004, 0.005, 0.007, 0.009, 0.01, 0.012, 0.014, 0.015, 0.017, 0.019, 0.02, 0.022, 0.024, 0.025, 0.027, 0.029, 0.03, 0.032, 0.034, 0.035, 0.037, 0.039, 0.04, 0.042, 0.044, 0.045, 0.047, 0.049, 0.05, 0.052, 0.054, 0.055, 0.057, 0.059, 0.06, 0.062, 0.064, 0.065, 0.067, 0.069, 0.07, 0.072, 0.074, 0.075, 0.077, 0.079, 0.08, 0.082, 0.084, 0.085, 0.087, 0.089, 0.09, 0.092, 0.094, 0.095, 0.097, 0.099, 0.1, 0.102, 0.104, 0.105, 0.107, 0.109, 0.11, 0.112, 0.114, 0.115, 0.117, 0.119, 0.12, 0.122, 0.124, 0.125, 0.127, 0.129, 0.13, 0.132, 0.134, 0.135, 0.137, 0.139, 0.14, 0.142, 0.144, 0.145, 0.147, 0.149, 0.15, 0.152, 0.154, 0.155, 0.157, 0.159, 0.16, 0.162, 0.164, 0.165, 0.167, 0.169, 0.17, 0.172, 0.174, 0.175, 0.177, 0.179, 0.18, 0.182, 0.184, 0.185, 0.187, 0.189, 0.19, 0.192, 0.194, 0.195, 0.197, 0.199, 0.2 s.

Arrows show derived FLD diagnostic flux -D grad(E); radiation momentum is not evolved. Arrows have equal length and show direction only.

Final-time profiles compare FLD with a linear diffusion-limit analytic reference, not an exact solution of nonlinear flux-limited diffusion. The movie shows numerical states only.

Central z=0+ radiation energy slice with faint cell mesh and equal-length flux direction arrows. Arrows show derived FLD diagnostic flux -D grad(E); radiation momentum is not evolved. Fixed color limits; actual stored Silo times held without solution interpolation. Final-time profiles compare FLD with a linear diffusion-limit analytic reference, not an exact solution of nonlinear flux-limited diffusion. The movie shows numerical states only. The maps show the full simulation domain without cropping.

Download MP4 · Rendering and timing metadata · Full run report

Subcritical Shock · L2 · M1 RK1

121 stored states; 121 shown. Physical time: 0–38300 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, 319.166667, 638.333333, 957.5, 1276.66667, 1915, 2234.16667, 2553.33333, 2872.5, 3191.66667, 3510.83333, 3830, 4149.16667, 4468.33333, 4787.5, 5106.66667, 5425.83333, 5745, 6064.16667, 6383.33333, 6702.5, 7021.66667, 7340.83333, 7660, 7979.16667, 8298.33333, 8617.5, 8936.66667, 9255.83333, 9575, 9894.16667, 10213.3333, 10532.5, 10851.6667, 11170.8333, 11490, 11809.1667, 12128.3333, 12447.5, 12766.6667, 13085.8333, 13405, 13724.1667, 14043.3333, 14362.5, 14681.6667, 15000.8333, 15320, 15639.1667, 15958.3333, 16277.5, 16596.6667, 16915.8333, 17235, 17554.1667, 17873.3333, 18192.5, 18511.6667, 18830.8333, 19150, 19469.1667, 19788.3333, 20107.5, 20426.6667, 20745.8333, 21065, 21384.1667, 21703.3333, 22022.5, 22341.6667, 22660.8333, 22980, 23299.1667, 23618.3333, 23937.5, 24256.6667, 24575.8333, 24895, 25214.1667, 25533.3333, 25852.5, 26171.6667, 26490.8333, 26810, 27129.1667, 27448.3333, 27767.5, 28086.6667, 28405.8333, 28725, 29044.1667, 29363.3333, 29682.5, 30001.6667, 30320.8333, 30640, 30959.1667, 31278.3333, 31597.5, 31916.6667, 32235.8333, 32555, 32874.1667, 33193.3333, 33512.5, 33831.6667, 34150.8333, 34470, 34789.1667, 35108.3333, 35427.5, 35746.6667, 36065.8333, 36385, 36704.1667, 37023.3333, 37342.5, 37661.6667, 37980.8333, 38300, 38300 s.

Arrows show the independently evolved M1 radiation flux. Arrows have equal length and show direction only.

Movies show saved numerical states; no applicable analytic reference is recorded.

Central z=0+ radiation energy slice with faint cell mesh and equal-length flux direction arrows. Arrows show the independently evolved M1 radiation flux. 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 saved numerical states; no applicable analytic reference is recorded. 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

Subcritical Shock · L2 · FLD backward Euler

121 stored states; 121 shown. Physical time: 0–38300 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, 383, 766, 1149, 1340.5, 1723.5, 2106.5, 2298, 2681, 2872.5, 3255.5, 3638.5, 4021.5, 4213, 4596, 4979, 5170.5, 5553.5, 5745, 6128, 6511, 6894, 7085.5, 7468.5, 7851.5, 8043, 8426, 8809, 9000.5, 9383.5, 9766.5, 9958, 10341, 10532.5, 10915.5, 11298.5, 11490, 11873, 12256, 12639, 12830.5, 13213.5, 13596.5, 13788, 14171, 14554, 14745.5, 15128.5, 15511.5, 15703, 16086, 16469, 16660.5, 17043.5, 17426.5, 17618, 18001, 18384, 18575.5, 18958.5, 19341.5, 19533, 19916, 20299, 20490.5, 20873.5, 21065, 21448, 21831, 22022.5, 22405.5, 22788.5, 22980, 23363, 23746, 24129, 24320.5, 24703.5, 25086.5, 25278, 25661, 26044, 26235.5, 26618.5, 27001.5, 27193, 27576, 27959, 28150.5, 28533.5, 28916.5, 29108, 29491, 29874, 30065.5, 30448.5, 30831.5, 31023, 31406, 31789, 31980.5, 32363.5, 32746.5, 32938, 33321, 33704, 33895.5, 34278.5, 34661.5, 34853, 35236, 35619, 35810.5, 36193.5, 36576.5, 36768, 37151, 37534, 37725.5, 38108.5, 38300 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.

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Supercritical Shock · L2 · M1 RK1

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, 62.5, 125, 187.5, 250, 312.5, 375, 437.5, 500, 562.5, 625, 687.5, 750, 812.5, 875, 937.5, 1000, 1062.5, 1125, 1187.5, 1250, 1312.5, 1375, 1437.5, 1500, 1562.5, 1625, 1687.5, 1750, 1812.5, 1875, 1937.5, 2000, 2062.5, 2125, 2187.5, 2250, 2312.5, 2375, 2437.5, 2500, 2562.5, 2625, 2687.5, 2750, 2812.5, 2875, 2937.5, 3000, 3062.5, 3125, 3187.5, 3250, 3312.5, 3375, 3437.5, 3500, 3562.5, 3625, 3687.5, 3750, 3812.5, 3875, 3937.5, 4000, 4062.5, 4125, 4187.5, 4250, 4312.5, 4375, 4437.5, 4500, 4562.5, 4625, 4687.5, 4750, 4812.5, 4875, 4937.5, 5000, 5062.5, 5125, 5187.5, 5250, 5312.5, 5375, 5437.5, 5500, 5562.5, 5625, 5687.5, 5750, 5812.5, 5875, 5937.5, 6000, 6062.5, 6125, 6187.5, 6250, 6312.5, 6375, 6437.5, 6500, 6562.5, 6625, 6687.5, 6750, 6812.5, 6875, 6937.5, 7000, 7062.5, 7125, 7187.5, 7250, 7312.5, 7375, 7437.5, 7500 s.

Arrows show the independently evolved M1 radiation flux. Arrows have equal length and show direction only.

Movies show saved numerical states; no applicable analytic reference is recorded.

Central z=0+ radiation energy slice with faint cell mesh and equal-length flux direction arrows. Arrows show the independently evolved M1 radiation flux. 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 saved numerical states; no applicable analytic reference is recorded. The maps show the full simulation domain without cropping. The temperature profile also spans the full domain.

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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.

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Radiating Blast · L2 · M1 RK1

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, 183.333333, 366.666667, 550, 916.666667, 1100, 1283.33333, 1466.66667, 1650, 1833.33333, 2016.66667, 2200, 2383.33333, 2566.66667, 2750, 2933.33333, 3116.66667, 3300, 3483.33333, 3666.66667, 3850, 4033.33333, 4216.66667, 4400, 4583.33333, 4766.66667, 4950, 5133.33333, 5316.66667, 5500, 5683.33333, 5866.66667, 6050, 6233.33333, 6416.66667, 6600, 6783.33333, 6966.66667, 7150, 7333.33333, 7516.66667, 7700, 7883.33333, 8066.66667, 8250, 8433.33333, 8616.66667, 8800, 8983.33333, 9166.66667, 9350, 9533.33333, 9716.66667, 9900, 10083.3333, 10266.6667, 10450, 10633.3333, 10816.6667, 11000, 11183.3333, 11366.6667, 11550, 11733.3333, 11916.6667, 12100, 12283.3333, 12466.6667, 12650, 12833.3333, 13016.6667, 13200, 13383.3333, 13566.6667, 13750, 13933.3333, 14116.6667, 14300, 14483.3333, 14666.6667, 14850, 15033.3333, 15216.6667, 15400, 15583.3333, 15766.6667, 15950, 16133.3333, 16316.6667, 16500, 16683.3333, 16866.6667, 17050, 17233.3333, 17416.6667, 17600, 17783.3333, 17966.6667, 18150, 18333.3333, 18516.6667, 18700, 18883.3333, 19066.6667, 19250, 19433.3333, 19616.6667, 19800, 19983.3333, 20166.6667, 20350, 20533.3333, 20716.6667, 20900, 21083.3333, 21266.6667, 21450, 21633.3333, 21816.6667, 21890, 22000 s.

Arrows show the independently evolved M1 radiation flux. Arrows have equal length and show direction only.

Movies show saved numerical states; no applicable analytic reference is recorded.

Central z=0+ radiation energy slice with faint cell mesh and equal-length flux direction arrows. Arrows show the independently evolved M1 radiation flux. Gray density contours and a matching density/velocity panel. Fixed color limits; actual stored Silo times held without solution interpolation. Movies show saved numerical states; no applicable analytic reference is recorded. The maps show the full simulation domain without cropping. One intermediate movie sample is supplied by a verified two-step continuation of a saved final-interval checkpoint. The original 22,000 s final state and full-run conservation ledgers remain authoritative.

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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.

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Marshak · L2 · M1 RK1

121 stored states; 121 shown. Physical time: 0–60 normalized time. 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, 0.505208333, 1, 1.50520833, 2.00520833, 2.5, 3, 3.5, 4, 4.5, 5.00520833, 5.50520833, 6.00520833, 6.50520833, 7.00520833, 7.50520833, 8.00520833, 8.50520833, 9.00520833, 9.50520833, 10, 10.5, 11, 11.5, 12, 12.5, 13, 13.5, 14, 14.5, 15, 15.5, 16, 16.5, 17, 17.5, 18, 18.5, 19, 19.5052083, 20.0052083, 20.5052083, 21.0052083, 21.5052083, 22.0052083, 22.5052083, 23.0052083, 23.5052083, 24.0052083, 24.5052083, 25.0052083, 25.5052083, 26.0052083, 26.5052083, 27.0052083, 27.5052083, 28.0052083, 28.5052083, 29.0052083, 29.5052083, 30.0052083, 30.5052083, 31.0052083, 31.5052083, 32.0052083, 32.5052083, 33.0052083, 33.5052083, 34.0052083, 34.5052083, 35.0052083, 35.5052083, 36.0052083, 36.5052083, 37.0052083, 37.5052083, 38.0052083, 38.5, 39, 39.5, 40, 40.5, 41, 41.5, 42, 42.5, 43, 43.5, 44, 44.5, 45, 45.5, 46, 46.5, 47, 47.5, 48, 48.5, 49, 49.5, 50, 50.5, 51, 51.5, 52, 52.5, 53, 53.5, 54, 54.5, 55, 55.5, 56, 56.5, 57, 57.5, 58, 58.5, 59, 59.5, 60 normalized time.

Arrows show the independently evolved M1 radiation flux. Arrows have equal length and show direction only.

Movies show saved numerical states; model-specific analytic comparisons are in the final-time profiles.

Central z=0+ radiation energy slice with faint cell mesh and equal-length flux direction arrows. Arrows show the independently evolved M1 radiation flux. Fixed color limits; actual stored Silo times held without solution interpolation. Movies show saved numerical states; model-specific analytic comparisons are in the final-time profiles. The maps show the full simulation domain without cropping.

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Marshak · L2 · FLD backward Euler

121 stored states; 121 shown. Physical time: 0–60 normalized time. 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, 0.55, 1, 1.5, 2, 2.55, 3.05, 3.55, 4.05, 4.55, 5.05, 5.55, 6.05, 6.55, 7.05, 7.55, 8.05, 8.55, 9.05, 9.5, 10, 10.5, 11, 11.5, 12, 12.5, 13, 13.5, 14, 14.5, 15, 15.5, 16, 16.5, 17, 17.5, 18, 18.5, 19, 19.5, 20, 20.5, 21, 21.5, 22, 22.5, 23, 23.5, 24, 24.5, 25, 25.5, 26, 26.5, 27, 27.5, 28, 28.5, 29, 29.5, 30, 30.5, 31, 31.5, 32, 32.5, 33, 33.5, 34, 34.5, 35, 35.5, 36, 36.5, 37, 37.5, 38.05, 38.55, 39.05, 39.55, 40.05, 40.55, 41.05, 41.55, 42.05, 42.55, 43.05, 43.55, 44.05, 44.55, 45.05, 45.55, 46.05, 46.55, 47.05, 47.55, 48.05, 48.55, 49.05, 49.55, 50.05, 50.55, 51.05, 51.55, 52.05, 52.55, 53.05, 53.55, 54.05, 54.55, 55.05, 55.55, 56.05, 56.55, 57.05, 57.55, 58.05, 58.55, 59.05, 59.55, 60 normalized time.

Arrows show derived FLD diagnostic flux -D grad(E); radiation momentum is not evolved. Arrows have equal length and show direction only.

Final-time profiles compare FLD with a linear diffusion-limit analytic reference, not an exact solution of nonlinear flux-limited diffusion. The movie shows numerical states only.

Central z=0+ radiation energy slice with faint cell mesh and equal-length flux direction arrows. Arrows show derived FLD diagnostic flux -D grad(E); radiation momentum is not evolved. Fixed color limits; actual stored Silo times held without solution interpolation. Final-time profiles compare FLD with a linear diffusion-limit analytic reference, not an exact solution of nonlinear flux-limited diffusion. The movie shows numerical states only. The maps show the full simulation domain without cropping.

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Streaming Wave · L3 · M1 RK1

121 stored states; 121 shown. Physical time: 0–0.2 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, 0.00166666667, 0.00333333333, 0.005, 0.007, 0.00866666667, 0.0103333333, 0.012, 0.0136666667, 0.0153333333, 0.017, 0.0183333333, 0.02, 0.0216666667, 0.0233333333, 0.025, 0.0266666667, 0.0283333333, 0.03, 0.0316666667, 0.0333333333, 0.035, 0.0366666667, 0.0383333333, 0.04, 0.0416666667, 0.0436666667, 0.0453333333, 0.047, 0.0486666667, 0.0503333333, 0.052, 0.0536666667, 0.0553333333, 0.057, 0.0586666667, 0.0603333333, 0.062, 0.0636666667, 0.0653333333, 0.067, 0.0686666667, 0.0703333333, 0.0716666667, 0.0733333333, 0.075, 0.0766666667, 0.0783333333, 0.08, 0.0816666667, 0.0833333333, 0.085, 0.0866666667, 0.0883333333, 0.09, 0.0916666667, 0.0933333333, 0.095, 0.0966666667, 0.0983333333, 0.1, 0.101666667, 0.103333333, 0.105, 0.106666667, 0.108333333, 0.11, 0.111666667, 0.113333333, 0.115, 0.116666667, 0.118333333, 0.12, 0.121666667, 0.123333333, 0.125, 0.126666667, 0.128333333, 0.13, 0.131666667, 0.133333333, 0.135, 0.136666667, 0.138333333, 0.14, 0.141666667, 0.143333333, 0.145, 0.146666667, 0.148333333, 0.15, 0.151666667, 0.153333333, 0.155333333, 0.157, 0.158666667, 0.160333333, 0.162, 0.163666667, 0.165333333, 0.167, 0.168666667, 0.170333333, 0.172, 0.173666667, 0.175333333, 0.177, 0.178666667, 0.180333333, 0.182, 0.183666667, 0.185333333, 0.187, 0.188666667, 0.190333333, 0.192, 0.193666667, 0.195333333, 0.197, 0.198666667, 0.2 s.

Arrows show the independently evolved M1 radiation flux. Arrows have equal length and show direction only.

Movies show numerical states at explicit positive opacity. Final profiles use the zero-opacity analytic solution only as a free-streaming-limit reference.

Central z=0+ radiation energy slice with faint cell mesh and equal-length flux direction arrows. Arrows show the independently evolved M1 radiation flux. Fixed color limits; actual stored Silo times held without solution interpolation. Movies show numerical states at explicit positive opacity. Final profiles use the zero-opacity analytic solution only as a free-streaming-limit reference. The maps show the full simulation domain without cropping.

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Streaming Wave · L3 · FLD backward Euler

121 stored states; 121 shown. Physical time: 0–0.2 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, 0.002, 0.004, 0.005, 0.007, 0.009, 0.01, 0.012, 0.014, 0.015, 0.017, 0.019, 0.02, 0.022, 0.024, 0.025, 0.027, 0.029, 0.03, 0.032, 0.034, 0.035, 0.037, 0.039, 0.04, 0.042, 0.044, 0.045, 0.047, 0.049, 0.05, 0.052, 0.054, 0.055, 0.057, 0.059, 0.06, 0.062, 0.064, 0.065, 0.067, 0.069, 0.07, 0.072, 0.074, 0.075, 0.077, 0.079, 0.08, 0.082, 0.084, 0.085, 0.087, 0.089, 0.09, 0.092, 0.094, 0.095, 0.097, 0.099, 0.1, 0.102, 0.104, 0.105, 0.107, 0.109, 0.11, 0.112, 0.114, 0.115, 0.117, 0.119, 0.12, 0.122, 0.124, 0.125, 0.127, 0.129, 0.13, 0.132, 0.134, 0.135, 0.137, 0.139, 0.14, 0.142, 0.144, 0.145, 0.147, 0.149, 0.15, 0.152, 0.154, 0.155, 0.157, 0.159, 0.16, 0.162, 0.164, 0.165, 0.167, 0.169, 0.17, 0.172, 0.174, 0.175, 0.177, 0.179, 0.18, 0.182, 0.184, 0.185, 0.187, 0.189, 0.19, 0.192, 0.194, 0.195, 0.197, 0.199, 0.2 s.

Arrows show derived FLD diagnostic flux -D grad(E); radiation momentum is not evolved. Arrows have equal length and show direction only.

Movies show saved numerical states. No nonlinear FLD spatial analytic reference is supplied for this benchmark; the M1 streaming profile is not an FLD reference. The final-time report includes exact invariant checks.

Central z=0+ radiation energy slice with faint cell mesh and equal-length flux direction arrows. Arrows show derived FLD diagnostic flux -D grad(E); radiation momentum is not evolved. Fixed color limits; actual stored Silo times held without solution interpolation. Movies show saved numerical states. No nonlinear FLD spatial analytic reference is supplied for this benchmark; the M1 streaming profile is not an FLD reference. The final-time report includes exact invariant checks. The maps show the full simulation domain without cropping.

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Streaming Front · L3 · M1 RK1

121 stored states; 121 shown. Physical time: 0–0.2 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, 0.00166666667, 0.00333333333, 0.005, 0.007, 0.00866666667, 0.0103333333, 0.012, 0.0136666667, 0.0153333333, 0.017, 0.0183333333, 0.02, 0.0216666667, 0.0233333333, 0.025, 0.0266666667, 0.0283333333, 0.03, 0.0316666667, 0.0333333333, 0.035, 0.0366666667, 0.0383333333, 0.04, 0.0416666667, 0.0436666667, 0.0453333333, 0.047, 0.0486666667, 0.0503333333, 0.052, 0.0536666667, 0.0553333333, 0.057, 0.0586666667, 0.0603333333, 0.062, 0.0636666667, 0.0653333333, 0.067, 0.0686666667, 0.0703333333, 0.0716666667, 0.0733333333, 0.075, 0.0766666667, 0.0783333333, 0.08, 0.0816666667, 0.0833333333, 0.085, 0.0866666667, 0.0883333333, 0.09, 0.0916666667, 0.0933333333, 0.095, 0.0966666667, 0.0983333333, 0.1, 0.101666667, 0.103333333, 0.105, 0.106666667, 0.108333333, 0.11, 0.111666667, 0.113333333, 0.115, 0.116666667, 0.118333333, 0.12, 0.121666667, 0.123333333, 0.125, 0.126666667, 0.128333333, 0.13, 0.131666667, 0.133333333, 0.135, 0.136666667, 0.138333333, 0.14, 0.141666667, 0.143333333, 0.145, 0.146666667, 0.148333333, 0.15, 0.151666667, 0.153333333, 0.155333333, 0.157, 0.158666667, 0.160333333, 0.162, 0.163666667, 0.165333333, 0.167, 0.168666667, 0.170333333, 0.172, 0.173666667, 0.175333333, 0.177, 0.178666667, 0.180333333, 0.182, 0.183666667, 0.185333333, 0.187, 0.188666667, 0.190333333, 0.192, 0.193666667, 0.195333333, 0.197, 0.198666667, 0.2 s.

Arrows show the independently evolved M1 radiation flux. Arrows have equal length and show direction only.

Movies show numerical states at explicit positive opacity. Final profiles use the zero-opacity analytic solution only as a free-streaming-limit reference.

Central z=0+ radiation energy slice with faint cell mesh and equal-length flux direction arrows. Arrows show the independently evolved M1 radiation flux. Fixed color limits; actual stored Silo times held without solution interpolation. Movies show numerical states at explicit positive opacity. Final profiles use the zero-opacity analytic solution only as a free-streaming-limit reference. The maps show the full simulation domain without cropping.

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