Octo-TIGER / Radiation verification

Radiation test problems

Transport, equilibrium, and radiation hydrodynamics. Open a problem for its physical setup, comparison method, sources, and results at every completed resolution.

All requested simulations and postprocessing are complete1 completed runsader2

Coupled ADER2 accuracy remains under investigation. The second-order design and radiation-only convergence results do not yet establish uniform second-order accuracy for stiff coupled hydro–radiation evolution. ADER2 remains an experimental method; completed runs are not an all-regime accuracy claim.

Revision 6 temporal validation limits. Streaming tests crossing limiter transitions fail the temporal-order threshold even with resolved references; an independent scalar PLM calculation reproduces this behavior. Thick-radiation temporal probes remain unresolved under the unchanged 10−12 measurement guard. Strict stiff coupled temporal convergence was not rerun for revision 6 and remains open. These results do not establish universal second-order accuracy.

Awaiting completed results
Exact transport

Streaming wave

A smooth, periodic radiation wave travels at the speed of light. Its phase and amplitude test transport accuracy.

0 completed resolutions

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Awaiting completed results
Exact transport

Streaming front

A sharp, bright half-domain crosses a nearly dark background. Exact cell averages track both moving edges through the periodic box.

0 completed resolutions

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Awaiting completed results
Telegraph equation

Gaussian pulse

A small Gaussian perturbation evolves in a fixed scattering medium. A Fourier solution of the telegraph equation supplies the reference.

0 completed resolutions

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Awaiting completed results
Steady diffusion

Equilibrium sphere

A smooth spherical emitter balances outward radiation transport. An error-function solution describes its steady diffusion equilibrium.

0 completed resolutions

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Awaiting completed results
Coupled radiation hydrodynamics

Subcritical radiative shock

Radiation heats gas ahead of a shock, forming a precursor whose gas temperature remains below the downstream equilibrium temperature.

0 completed resolutions

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Awaiting completed results
Coupled radiation hydrodynamics

Supercritical radiative shock

A faster shock produces a stronger radiative precursor. Gas ahead of the shock approaches the downstream equilibrium temperature.

0 completed resolutions

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Awaiting completed results
Coupled radiation hydrodynamics

Radiating blast wave

A spherical energy release drives a shock and radiation precursor into a radial atmosphere, evolved on a Cartesian mesh.

0 completed resolutions

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Marshak wave energy comparison
Energy comparison · AMR levels 2–3; 90112 active cells; finest equivalent 64³ · t = 1.000000e+00 code time
Nonequilibrium radiation diffusion

Marshak wave

Boundary illumination heats initially cold stationary material. Radiation and material energy profiles are compared with the semi-analytic Marshak diffusion solution.

1 completed resolution

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Combined plot reportAll norms CSVBatch metadata