On discontinuous Galerkin approximations of Boltzmann moment systems with Levermore closure

被引：21

作者：

Barth, Timothy ^{[1
]}

机构：

[1] NASA, Ames Res Ctr, Moffett Field, CA 94035 USA

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2006年 / 195卷 / 25-28期

关键词：

nonlinear conservation laws; kinetic Boltzmann equation; Levermore Boltzmann moment closure; entropy symmetrization; discontinuous Galerkin finite element method;

D O I：

10.1016/j.cma.2005.06.016

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This work considers the discontinuous Galerkin (DG) finite element discretization of first-order systems of conservation laws derivable as moments of the kinetic Boltzmann equation with Levermore [C.D. Levermore, Moment closure hierarchies for kinetic theories, J. Statist. Phys. 83 (5-6) (1996) 1021-1065] closure. Using standard energy analysis techniques, a new class of energy stable numerical flux functions are devised for the DG discretization of Boltzmann moment systems. Simplified energy stable numerical fluxes are then constructed which replace exact state space integration in the numerical flux with Gauss-Lobatto quadrature. Numerical results for supersonic flow over a cylinder geometry in the continuum and transitional regimes using 5 and 10 moment approximations are presented using the newly devised DG discretizations. (c) 2005 Elsevier B.V. All rights reserved.

引用

页码：3311 / 3330

页数：20

共 39 条

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