PRECONDITIONING THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS WITH VARIABLE VISCOSITY  

作　　者：Xin He Maya Neytcheva 

机构地区：[1]Department of Information Technology, Uppsala University, Sweden

出　　处：《Journal of Computational Mathematics》2012年第5期461-482,共22页计算数学（英文）

摘　　要：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 precondition- ing 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 vaxving.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 precondition- ing 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 vaxving.

关 键 词：Navier-Stokes equations Saddle point systems Augmented Lagrangian FINITEELEMENTS Iterative methods Preconditioning. 

分 类 号：O357.1[理学—流体力学] TS225.13[理学—力学]