Conservative semi-Lagrangian schemes for Vlasov equations

JOURNAL OF COMPUTATIONAL PHYSICS

卷:229

Article

Crouseilles, Nicolas^1,2,3  Mehrenberger, Michel^2,3  Sonnendruecker, Eric^2,3 

[1] Univ Strasbourg, INRIA Nancy Grand Est, CALVI Project, F-67084 Strasbourg, France

[2] Univ Strasbourg, IRMA, F-67084 Strasbourg, France

[3] CNRS, F-67084 Strasbourg, France

关键词: Vlasov equation;    Semi-Lagrangian method;    Conservative;    Numerical methods;   

DOI  :  10.1016/j.jcp.2009.11.007

来源: Elsevier

【 摘 要 】

Conservative methods for the numerical solution of the Vlasov equation are developed in the context of the one-dimensional splitting. In the case of constant advection, these methods and the traditional semi-Lagrangian ones are proven to be equivalent, but the conservative methods offer the possibility to add adequate filters in order to ensure the positivity. In the non-constant advection case, they present an alternative to the traditional semi-Lagrangian schemes which can suffer from bad mass conservation, in this time splitting setting. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

Free