Boundary conditions for semi-Lagrangian methods for the BGK model

被引：6

作者：

Groppi, Maria ^{[1
]}

Russo, Giovanni ^{[2
]}

Stracquadanio, Giuseppe ^{[1
]}

机构：

[1] Univ Parma, Dipartimento Matemat & Informat, I-43100 Parma, Italy

[2] Univ Catania, Dipartimento Matemat & Informat, I-95124 Catania, Italy

来源：

COMMUNICATIONS IN APPLIED AND INDUSTRIAL MATHEMATICS | 2016年 / 7卷 / 03期

关键词：

BGK equation; semi-Lagrangian methods; high-order schemes; boundary conditions;

D O I：

10.1515/caim-2016-0025

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A new class of high-order accuracy numerical methods based on a semi-Lagrangian formulation for the BGK model of the Boltzmann equation has been recently proposed in [1]. In this paper semi-Lagrangian schemes for the BGK equation have been extended to treat boundary conditions, in particular the diffusive ones. Two different techniques are proposed, using or avoiding iterative procedures. Numerical simulations illustrate the accuracy properties of these approaches and the agreement with the results available in literature.

引用

页码：135 / 161

页数：27

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