Convergence of a colocated finite volume scheme for the incompressible Navier-Stokes equations

被引：0

作者：

Zimmermann, S. ^{[1
]}

机构：

[1] Cent Lyon Univ, Dept Appl Math, F-69134 Ecully, France

来源：

Advances in Computational Methods in Sciences and Engineering 2005, Vols 4 A & 4 B | 2005年 / 4A-4B卷

关键词：

Navier-Stokes equations; colocated discretization; projection method; finite volume methods;

D O I：

暂无

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We study a finite volume scheme for the approximation of the incompressible Navier-Stokes equations in two dimensions. It uses a projection (fractional step) method to ensure the incompressibility constraint. The unknowns for the velocity and the pressure are colocated at the center of the cells of a triangular mesh. The discrete operators are consistent and satisfy a discrete inf-sup (Babuska-Brezzi) condition. We state the stability and the convergence of the scheme, and give some numerical results.

引用

页码：619 / 622

页数：4

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