Preconditioning the Incompressible Navier-Stokes Equations with Variable Viscosity

Preconditioning the Incompressible Navier-Stokes Equations with Variable Viscosity

Year:    2012

Journal of Computational Mathematics, Vol. 30 (2012), Iss. 5 : pp. 461–482

Abstract

This paper deals with preconditioners for the iterative solution of the discrete Oseen problem with variable viscosity. The motivation of this work originates from numerical simulations of multiphase flow, governed by the coupled Cahn-Hilliard and incompressible Navier-Stokes equations. The impact of variable viscosity on some known preconditioning technique is analyzed. Theoretical considerations and numerical experiments show that some broadly used preconditioning techniques for the Oseen problem with constant viscosity are also efficient when the viscosity is varying.

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jcm.1201-m3848

Journal of Computational Mathematics, Vol. 30 (2012), Iss. 5 : pp. 461–482

Published online:    2012-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    22

Keywords:    Navier-Stokes equations Saddle point systems Augmented Lagrangian Finite elements Iterative methods Preconditioning.