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SIAM J. on Scientific Computing / Volume 29 / Issue 6

SIAM J. Sci. Comput. 29, pp. 2241-2257 (17 pages)

Efficient Numerical Solution of Cahn–Hilliard–Navier–Stokes Fluids in 2D

David Kay and Richard Welford

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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.

© 2007 Society for Industrial and Applied Mathematics

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KEYWORDS

AMS Subject Headings

65N55, 74S05, 82B26, 82D15

PUBLICATION DATA

ISSN

1064-8275 (print)  
1095-7197 (online)

Publisher

$abstract.society.value is a Member of CrossRef Society for Industrial and Applied Mathematics

ARTICLE DATA

History
Received December 21, 2005
Accepted September 27, 2006
Published online October 05, 2007
Digital Object Identifier
http://dx.doi.org/10.1137/050648110

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