Name
Title | ||
|---|---|---|
Asymptotic preserving schemes for the Wigner-Poisson-BGK equations in the diffusion limit. |
Abstract | ||
|---|---|---|
This work focuses on the numerical simulation of the Wigner–Poisson–BGK equation in the diffusion asymptotics. Our strategy is based on a “micro–macro” decomposition, which leads to a system of equations that couple the macroscopic evolution (diffusion) to a microscopic kinetic contribution for the fluctuations. A semi-implicit discretization provides a numerical scheme which is stable with respect to the small parameter ε (mean free path) and which possesses the following properties: (i) it enjoys the asymptotic preserving property in the diffusive limit; (ii) it recovers a standard discretization of the Wigner–Poisson equation in the collisionless regime. Numerical experiments confirm the good behavior of the numerical scheme in both regimes. The case of a spatially dependent ε(x) is also investigated. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1016/j.cpc.2013.06.002 | Computer Physics Communications |
Keywords | Field | DocType |
Wigner equation,Diffusion limit,Asymptotic preserving schemes | Mean free path,Discretization,Mathematical optimization,Computer simulation,System of linear equations,Mathematical analysis,Diffusion limit,Poisson distribution,Asymptotic analysis,Mathematics,Kinetic energy | Journal |
Volume | Issue | ISSN |
185 | 2 | 0010-4655 |
Citations | PageRank | References |
0 | 0.34 | 4 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Nicolas Crouseilles | 1 | 174 | 22.71 |
| Giovanni Manfredi | 2 | 35 | 8.39 |