期刊
SIAM JOURNAL ON SCIENTIFIC COMPUTING
卷 29, 期 6, 页码 2241-2257出版社
SIAM PUBLICATIONS
DOI: 10.1137/050648110
关键词
Cahn-Hilliard equation; Navier-Stokes equation; finite element; nonlinear multigrid
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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