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.
| N | E L1 | E L2 | E L∞ | p(L1) | p(L2) | p(L∞) |
|---|---|---|---|---|---|---|
| 32 | 2.019307e-05 | 5.151584e-05 | 6.424667e-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
Flux maps
Radiation conservation
R = Q(t) − Q(0) + B(t) − S(t). B is cumulative outward transport; S is the signed source change. Flux integrals divided by c² give radiation momentum. All plotted totals and residuals are fractions of the fixed initial magnitude |Q(0)|. Zero/negligible initial flux (|Q(0)| ≤ 64ε c|E₀|) uses the labeled fallback c|E₀|. Neither denominator changes during the run.
| Field | Scale | Final R/scale | Final |R|/scale | Maximum |R|/scale |
|---|---|---|---|---|
| er | abs(initial_energy) | -6.682576e-17 | 6.682576e-17 | 1.143749e-16 |
| fx | c * abs(initial_energy) | -2.929058e-21 | 2.929058e-21 | 3.024223e-21 |
| fy | c * abs(initial_energy) | 6.401787e-20 | 6.401787e-20 | 6.714955e-20 |
| fz | c * abs(initial_energy) | 3.943254e-20 | 3.943254e-20 | 4.048357e-20 |
Budget summary CSV · Raw history CSV · Fraction history CSV
