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Volume 30, Issue 5
Preconditioning the Incompressible Navier-Stokes Equations with Variable Viscosity

Xin He & Maya Neytcheva

DOI: 10.4208/jcm.1201-m3848

J. Comp. Math., 30 (2012), pp. 461-482.

Published online: 2012-10

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  • 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.

  • Keywords

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

  • AMS Subject Headings

65F10, 65F08, 65N30.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JCM-30-461, author = {}, title = {Preconditioning the Incompressible Navier-Stokes Equations with Variable Viscosity}, journal = {Journal of Computational Mathematics}, year = {2012}, volume = {30}, number = {5}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1201-m3848}, url = {http://global-sci.org/intro/article_detail/jcm/8444.html} }
TY - JOUR T1 - Preconditioning the Incompressible Navier-Stokes Equations with Variable Viscosity JO - Journal of Computational Mathematics VL - 5 SP - 461 EP - 482 PY - 2012 DA - 2012/10 SN - 30 DO - http://doi.org/10.4208/jcm.1201-m3848 UR - https://global-sci.org/intro/article_detail/jcm/8444.html KW - Navier-Stokes equations, Saddle point systems, Augmented Lagrangian, Finite elements, Iterative methods, Preconditioning. AB -

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.

Xin He & Maya Neytcheva. (1970). Preconditioning the Incompressible Navier-Stokes Equations with Variable Viscosity. Journal of Computational Mathematics. 30 (5). 461-482. doi:10.4208/jcm.1201-m3848
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