UNCOUPLED OMEGA-PSI FORMULATION FOR PLANE FLOWS IN MULTIPLY CONNECTEDDOMAINS

This work deals with the numerical solution of the unsteady Navier-Sto kes equations in the vorticity and stream function representation for problems in multiply connected two-dimensional regions. A particular d ecomposition of the stream function space is proposed which leads to a n uncoupled variational formulation of the equations linearized and di scretized in time, thus extending to transient problems the celebrated method proposed by Glowinski and Pironneau for the biharmonic problem . Numerical results calculated by a mixed finite element implementatio n of the new uncoupled method are presented.