Numerical approximation of the general compressible Stokes problem

被引：9

作者：

Fettah, A. ^{[1
]}

Gallouet, T. ^{[1
]}

机构：

[1] Aix Marseille Univ, Dept Math, F-13453 Marseille 13, France

来源：

IMA JOURNAL OF NUMERICAL ANALYSIS | 2013年 / 33卷 / 03期

关键词：

compressible Stokes equations; finite element method; finite volume method; FINITE VOLUME SCHEME; EQUATIONS;

D O I：

10.1093/imanum/drs024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we propose a discretization for the compressible Stokes problem with an equation of state of the form p=phi(rho) (where p stands for the pressure and rho for the density, and phi is a superlinear nondecreasing function from R to R). This scheme is based on Crouzeix-Raviart approximation spaces. The discretization of the momentum balance is obtained by the usual finite element technique. The discrete mass balance is obtained by a finite volume scheme, with an upwinding of the density, and two additional terms. We prove the existence of a discrete solution and the convergence of this approximate solution to a solution of the continuous problem.

引用

页码：922 / 951

页数：30