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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