Kinetic derivation of a finite difference scheme for the incompressible Navier-Stokes equation

被引：2

作者：

Banda, MK ^{[1
]}

Junk, M

Klar, A

机构：

[1] Tech Univ Darmstadt, Dept Math, D-64289 Darmstadt, Germany

[2] Univ Kaiserslautern, Dept Math, D-67665 Kaiserslautern, Germany

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2003年 / 154卷 / 02期

关键词：

kinetic equations; asymptotic analysis; low Mach number limit; second-order upwind discretization; slope limiter; incompressible Navier-Stokes equation;

D O I：

10.1016/S0377-0427(02)00857-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper the low Mach number limit of kinetic equations is used to develop a discretization for the incompressible Navier-Stokes equation. The kinetic equation is discretized with a first- and second-order discretization in space. The discretized equation is then considered in the low Mach number limit. Using this limit a second-order discretization for the convective part in the incompressible Navier-Stokes equation is obtained. Numerical experiments are shown comparing different Approaches. (C) 2003 Elsevier Science B.V. All rights reserved.

引用

页码：341 / 354

页数：14

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