Author(s)

M. Hribersek & L. Skerget

Abstract

The paper deals with the use of domain decomposition methods in Bound- ary Domain Integral Method (BDIM) for Navier-Stokes equations of lami- nar viscous incompressible fluid flow. Since the vorticity transport equation presents the major problem in solving BDIM set of equations, domain de- composition methods are used for its solution. Multiplicative and additive Schwarz iterations are implemented. Partial subdomain problems are com- puted by the use of Krylov subspace type iterative solvers. Overlapping and non-overlapping subdomain divisions are presented and their effects on con- vergence of domain decomposition iterative procedures are reported. The new iterative schemes are tested on Poiseuille's flow and Backward facing step flow

Keywords