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.
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页码：2241 / 2257
页数：17
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