Palindromic Discontinuous Galerkin Method

被引：1

作者：

Coulette, David ^{[1
]}

Franck, Emmanuel ^{[1
]}

Helluy, Philippe ^{[1
]}

Mehrenberger, Michel ^{[1
]}

Navoret, Laurent ^{[1
]}

机构：

[1] IRMA Strasbourg, Inria Tonus, Strasbourg, France

来源：

FINITE VOLUMES FOR COMPLEX APPLICATIONS VIII-HYPERBOLIC, ELLIPTIC AND PARABOLIC PROBLEMS | 2017年 / 200卷

关键词：

Lattice boltzmann; Discontinuous galerkin; Implicit; Composition method; High order; Stiff relaxation; LATTICE BOLTZMANN METHOD; CONSERVATION-LAWS; SCHEMES; SYSTEMS;

D O I：

10.1007/978-3-319-57394-6_19

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

We present a high-order scheme for approximating kinetic equations with stiff relaxation. The construction is based on a high-order, implicit, upwind Discontinuous Galerkin formulation of the transport equations. In practice, because of the triangular structure of the implicit system, the computations are explicit. High order in time is achieved thanks to a palindromic composition method. The whole method is asymptotic-preserving with respect to the stiff relaxation and remains stable even with large CFL numbers.

引用

页码：171 / 178

页数：8

共 13 条

[1] Discrete kinetic schemes for multidimensional systems of conservation laws [J].