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

Authors:
David Kay;Richard Welford
Affiliations:
-;-
Venue:
SIAM Journal on Scientific Computing
Year:
2007

Citing 0
Cited 3

Unconditionally Stable Finite Difference, Nonlinear Multigrid Simulation of the Cahn-Hilliard-Hele-Shaw System of Equations

Journal of Scientific Computing
An adaptive finite element Moreau-Yosida-based solver for a coupled Cahn-Hilliard/Navier-Stokes system

Journal of Computational Physics
Time integration for diffuse interface models for two-phase flow

Journal of Computational Physics

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Abstract

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.