Numerical properties of high order discrete velocity solutions to the BGK kinetic equation

被引：7
作者：
Alekseenko, A. M. [1 ]
机构：
[1] Calif State Univ Northridge, Dept Math, Northridge, CA 91330 USA
来源：
APPLIED NUMERICAL MATHEMATICS | 2011年 / 61卷 / 04期
关键词：
Kinetic equations; Discontinuous Galerkin methods; Transient gas flows; Normal shock wave; Heat transfer; EFFICIENT IMPLEMENTATION; GALERKIN METHOD; MONTE-CARLO; BOLTZMANN; MODELS; SIMULATION; DYNAMICS; SOLVER; FLOW;
D O I：
10.1016/j.apnum.2010.11.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A high order numerical method for the solution of model kinetic equations is proposed. The new method employs discontinuous Galerkin (DG) discretizations in the spatial and velocity variables and Runge-Kutta discretizations in the temporal variable. The method is implemented for the one-dimensional Bhatnagar-Gross-Krook equation. Convergence of the numerical solution and accuracy of the evaluation of macroparameters are studied for different orders of velocity discretization. Synthetic model problems are proposed and implemented to test accuracy of discretizations in the free molecular regime. The method is applied to the solution of the normal shock wave problem and the one-dimensional heat transfer problem. (C) 2010 IMACS. Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：410 / 427
页数：18
相关论文
共 40 条
1234