Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10357330 | Journal of Computational Physics | 2005 | 23 Pages |
Abstract
Cartesian meshes for domains with complicated boundaries give rise to cut cells with arbitrarily small volumes. Explicit integration schemes over such meshes have a time step restriction proportional to the smallest cell volume. We present an implementation of the kinetic scheme for gas dynamics by Perthame [B. Perthame, Boltzmann type schemes for gas dynamics and the entropy property. SIAM J. Num. Anal. 27 (1990) 1405-1421] on arbitrary Cartesian meshes. The formulation allows a time step based on the underlying regular cell size, and retains L1-stability, positivity and second order convergence. Numerical convergence studies on arbitrary grids are presented.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Benjamin Keen, Smadar Karni,