A DOMAIN DECOMPOSITION METHOD FOR ALMOST INCOMPRESSIBLE-FLOW

A domain decomposition method For solving the Navier-Stokes equations for almost incompressible flow is examined. At the price of a nonunifo rm decomposition of the domain, we have fast solvers in all subdomains . Hence, each iteration on the Schur complement system can be performe d very efficiently. We have shown theoretically that the method requir es much fewer memory positions and arithmetic operations than a direct method. Numerical experiments show that the iteration on the Schur co mplement system converges very fast. We also show that the spatial gri d ratio might be crucial for the performance of the method. Moreover, we show that for a given discretization of the problem, the rate of ef ficiency is larger than 100% for the problem studied here, due to the very nice parallelization properties of the algorithm. Copyright (C) 1 996 Elsevier Science Ltd.