High Order Maximum Principle Preserving Semi-Lagrangian Finite Difference WENO Schemes for the Vlasov Equation
Document Type
Article
Publication Date
9-15-2014
Department
Department of Mathematical Sciences
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.
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
Publisher's Statement
© 2014 Elsevier Inc.