A projection hybrid finite volume/element method for low-Mach number flows

被引：28

作者：

Bermudez, A. ^{[1
]}

Ferrin, J. L. ^{[1
]}

Saavedra, L. ^{[2
]}

Vazquez-Cendona, M. E. ^{[1
]}

机构：

[1] Univ Santiago de Compostela, Fac Matemat, Dept Matemat Aplicada, Santiago De Compostela 15782, Spain

[2] Univ Politecn Madrid, Dept Fundamentos Matemat, ETSI Aeronot, E-28040 Madrid, Spain

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2014年 / 271卷

关键词：

Low Mach number flows; Projection method; Finite volume method; Finite element method; EQUATIONS; SOLVERS;

D O I：

10.1016/j.jcp.2013.09.029

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The purpose of this article is to introduce a projection hybrid finite volume/element method for low-Mach number flows of viscous or inviscid fluids. Starting with a 3D tetrahedral finite element mesh of the computational domain, the equation of the transport-diffusion stage is discretized by a finite volume method associated with a dual mesh where the nodes of the volumes are the barycenters of the faces of the initial tetrahedra. The transport-diffusion stage is explicit. Upwinding of convective terms is done by classical Riemann solvers as the Q-scheme of van Leer or the Rusanov scheme. Concerning the projection stage, the pressure correction is computed by a piecewise linear finite element method associated with the initial tetrahedral mesh. Passing the information from one stage to the other is carefully made in order to get a stable global scheme. Numerical results for several test examples aiming at evaluating the convergence properties of the method are shown. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：360 / 378

页数：19

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