Preconditioning of a Coupled Cahn-Hilliard Navier-Stokes System

Preconditioning of a Coupled Cahn-Hilliard Navier-Stokes System

Year:    2018

Communications in Computational Physics, Vol. 23 (2018), Iss. 2 : pp. 603–628

Abstract

Recently, Garcke et al. [H. Garcke, M. Hinze, C. Kahle, Appl. Numer. Math. 99 (2016), 151–171)] developed a consistent discretization scheme for a thermodynamically consistent diffuse interface model for incompressible two-phase flows with different densities [H. Abels, H. Garcke, G. Grün, Math. Models Methods Appl. Sci. 22(3) (2012)]. At the heart of this method lies the solution of large and sparse linear systems that arise in a semismooth Newton method. 

In this work we propose the use of preconditioned Krylov subspace solvers using effective Schur complement approximations. Numerical results illustrate the efficiency of our approach. In particular, our preconditioner is shown to be robust with respect to parameter changes.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.OA-2017-0037

Communications in Computational Physics, Vol. 23 (2018), Iss. 2 : pp. 603–628

Published online:    2018-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    26

Keywords:    Navier-Stokes Cahn-Hilliard two-phase flow preconditioning Schur complement approximation saddle-point problems.

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