Technical Report 2011-006

Preconditioning the Incompressible Navier-Stokes Equations with Variable Viscosity

Xin He and Maya Neytcheva

March 2011

This paper deals with preconditioners for the iterative solution of the discrete Oseen's 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. Numerical experiments show that the preconditioning technique for the Oseen's problem with constant viscosity is also efficient when the viscosity is varying.

Note: Updated April 5, 2011.

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