High order maximum principle preserving semi-Lagrangian finite difference WENO schemes for the Vlasov equation
Document Type
Article
Publication Date
9-15-2014
Abstract
In this paper, we propose the parametrized maximum principle preserving (MPP) flux limiter, originally developed in [37], to the semi-Lagrangian finite difference weighted essentially non-oscillatory scheme for solving the Vlasov equation. The MPP flux limiter is proved to maintain up to fourth order accuracy for the semi-Lagrangian finite difference scheme without any time step restriction. Numerical studies on the Vlasov-Poisson system demonstrate the performance of the proposed method and its ability in preserving the positivity of the probability distribution function while maintaining the high order accuracy. © 2014 Elsevier Inc.
Publication Title
Journal of Computational Physics
Recommended Citation
Xiong, T.,
Qiu, J.,
Xu, Z.,
&
Christlieb, A.
(2014).
High order maximum principle preserving semi-Lagrangian finite difference WENO schemes for the Vlasov equation.
Journal of Computational Physics,
273, 618-639.
http://doi.org/10.1016/j.jcp.2014.05.033
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/6663