Efficient numerical solution of Cahn-Hilliard-Navier-Stokes fluids in 2D

被引：63

作者：

Kay, David ^{[1
]}

Welford, Richard ^{[1
]}

机构：

[1] Univ Sussex, Dept Math, Mantell Bldg, Brighton BN1 9RF, E Sussex, England

来源：

SIAM JOURNAL ON SCIENTIFIC COMPUTING | 2007年 / 29卷 / 06期

关键词：

Cahn-Hilliard equation; Navier-Stokes equation; finite element; nonlinear multigrid;

D O I：

10.1137/050648110

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A finite element discretization of the variable density Cahn-Hilliard-Navier-Stokes system is presented. This system is then decoupled with the Cahn-Hilliard part solved via the nonlinear multigrid method proposed by the authors in [J. Comput. Phys., 212 (2006), pp. 288-304] and the Navier-Stokes part via a multigrid preconditioned GMRES scheme. This new solver is examined numerically and is shown to be efficient with respect to mesh refinement and robust with respect to the problem parameters.

引用

页码：2241 / 2257

页数：17

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