Octo-TIGER radiation results

All norms/orders CSV · Conservation CSV · Movies

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.

Convergence becomes available after two resolutions are complete.

N	E L1	E L2	E L∞	p(L1)	p(L2)	p(L∞)
32	2.019307e-05	5.151584e-05	6.424667e-04	—	—	—

32³ cells

Central cell layer at z=dx/2. 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. Energy normalization uses max(|E₀|,|E|,|B_E|,|S_E|); flux normalization also includes c times that scale and the component's totals, boundary and source terms.

Field	Final residual	Final |R|/scale	Maximum |R|/scale
er	-1.463670e+16	6.682576e-17	1.143749e-16
fx	-1.923304e+22	2.929058e-21	3.024223e-21
fy	4.203598e+23	6.401787e-20	6.714955e-20
fz	2.589254e+23	3.943254e-20	4.048357e-20

Budget summary CSV · History CSV

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.

Convergence becomes available after two resolutions are complete.

N	E L1	E L2	E L∞	p(L1)	p(L2)	p(L∞)
32	2.983871e-07	3.652412e-07	9.418889e-07	—	—	—

32³ cells

Central cell layer at z=dx/2. 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. Energy normalization uses max(|E₀|,|E|,|B_E|,|S_E|); flux normalization also includes c times that scale and the component's totals, boundary and source terms.

Field	Final residual	Final |R|/scale	Maximum |R|/scale
er	-3.602880e+16	1.667907e-16	1.667907e-16
fx	5.812616e+20	8.975796e-23	1.113501e-22
fy	-2.176410e+20	3.360795e-23	1.154977e-22
fz	-9.177345e+20	1.417159e-22	1.974124e-22

Budget summary CSV · History CSV

streaming_front

Exact nonlinear M1 streaming reference.

Convergence becomes available after two resolutions are complete.

N	E L1	E L2	E L∞	p(L1)	p(L2)	p(L∞)
32	8.321504e-02	1.450355e-01	4.179089e-01	—	—	—

32³ cells

Central cell layer at z=dx/2. 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. Energy normalization uses max(|E₀|,|E|,|B_E|,|S_E|); flux normalization also includes c times that scale and the component's totals, boundary and source terms.

Field	Final residual	Final |R|/scale	Maximum |R|/scale
er	-5.404320e+16	5.004000e-16	5.004000e-16
fx	6.189700e+26	1.911724e-16	3.823448e-16
fy	0.000000e+00	0.000000e+00	0.000000e+00
fz	0.000000e+00	0.000000e+00	0.000000e+00

Budget summary CSV · History CSV

streaming_wave

Exact nonlinear M1 streaming reference.

Convergence becomes available after two resolutions are complete.

N	E L1	E L2	E L∞	p(L1)	p(L2)	p(L∞)
32	2.385068e-01	2.684704e-01	3.902711e-01	—	—	—

32³ cells

Central cell layer at z=dx/2. 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. Energy normalization uses max(|E₀|,|E|,|B_E|,|S_E|); flux normalization also includes c times that scale and the component's totals, boundary and source terms.

Field	Final residual	Final |R|/scale	Maximum |R|/scale
er	0.000000e+00	0.000000e+00	0.000000e+00
fx	6.189700e+26	9.558619e-17	9.558619e-17
fy	0.000000e+00	0.000000e+00	0.000000e+00
fz	0.000000e+00	0.000000e+00	4.779310e-17

Budget summary CSV · History CSV