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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