Name
Title | ||
|---|---|---|
Asymptotic-preserving & well-balanced schemes for radiative transfer and the Rosseland approximation |
Abstract | ||
|---|---|---|
We are concerned with efficient numerical simulation of the radiative transfer equations. To this end, we follow the Well-Balanced approach's canvas and reformulate the relaxation term as a nonconservative product regularized by steady-state curves while keeping the velocity variable continuous. These steady-state equations are of Fredholm type. The resulting upwind schemes are proved to be stable under a reasonable parabolic CFL condition of the type Δt≤O(Δx2) among other desirable properties. Some numerical results demonstrate the realizability and the efficiency of this process. |
Year | DOI | Venue |
|---|---|---|
2004 | 10.1007/s00211-004-0533-x | Numerische Mathematik |
Keywords | Field | DocType |
nonconservative product,radiative transfer equation { well-balanced scheme { nonconservative products.,rosseland approximation,well-balanced approach,steady-state equation,well-balanced scheme,desirable property,numerical result,reasonable parabolic cfl condition,radiative transfer equation,steady-state curve,fredholm type,efficient numerical simulation,steady state,upwind scheme,numerical simulation,radiative transfer | Mathematical optimization,Courant–Friedrichs–Lewy condition,Fredholm integral equation,Mathematical analysis,Relaxation (iterative method),Upwind scheme,Radiative transfer,Numerical analysis,Partial differential equation,Mathematics,Parabola | Journal |
Volume | Issue | ISSN |
98 | 2 | 0029-599X |
Citations | PageRank | References |
18 | 2.31 | 7 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Laurent Gosse | 1 | 30 | 5.50 |
| Giuseppe Toscani | 2 | 138 | 24.06 |