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.

Completed campaign results11 completed runsader2

Includes short-duration runs. Runs shorter than the benchmark duration do not establish developed shock or blast structure. Full-duration benchmark validation remains separate.

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.

Streaming wave energy comparison
Energy comparison · AMR levels 2–3; 262144 active cells; finest equivalent 64³ · t = 5.348925e-01 s
Exact transport

Streaming wave

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

2 completed resolutions

Setup & all results →
Streaming front energy comparison
Energy comparison · AMR levels 3–4; 262144 active cells; finest equivalent 128³ · t = 2.001385e+00 s
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.

3 completed resolutions

Setup & all results →
Gaussian pulse energy comparison
Energy comparison · AMR levels 2–3; 262144 active cells; finest equivalent 64³ · t = 5.000000e-01 s
Telegraph equation

Gaussian pulse

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

2 completed resolutions

Setup & all results →
Equilibrium sphere energy comparison
Energy comparison · AMR levels 1–2; 32768 active cells; finest equivalent 32³ · t = 4.000000e+00 s
Steady diffusion

Equilibrium sphere

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

1 completed resolution

Setup & all results →
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

Setup & all results →
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

Setup & all results →
Radiating blast wave numerical hydro fields
Numerical fields · AMR levels 1–2; 32768 active cells; finest equivalent 32³ · t = 4.000000e+03 s
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.

1 completed resolution

Setup & all results →
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.

2 completed resolutions

Setup & all results →
Combined plot reportAll norms CSVBatch metadata