A splitting method for incompressible flows with variable density based on a pressure Poisson equation

被引：155

作者：

Guermond, J. -L. ^{[1
]}

Salgado, Abner ^{[1
]}

机构：

[1] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2009年 / 228卷 / 08期

基金：

美国国家科学基金会;

关键词：

Variable density flows; Navier-Stokes; Projection method; Fractional time-stepping; NAVIER-STOKES EQUATIONS; PROJECTION METHODS; FINITE-ELEMENT; APPROXIMATION; CONVERGENCE;

D O I：

10.1016/j.jcp.2008.12.036

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A new fractional time-stepping technique for solving incompressible flows with variable density is proposed. The main feature of this method is that, as opposed to other known algorithms, the pressure is determined by just solving one Poisson equation per time step, which greatly reduces the computational cost. The stability of the method is proved and the performance of the method is numerically illustrated. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：2834 / 2846

页数：13

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