Fast boundary-domain integral algorithm for the computation of incompressible fluid flow problems

The paper deals with the numerical solution of fluid dynamics using the bou ndary-domain integral method (BDIM). A velocity-vorticity formulation of th e Navier-Stokes equations is adopted, where the kinematic equation is writt en in its parabolic form. Computational aspects of the numerical simulation of two-dimensional flows is described in detail. In order to lower the com putational cost, the subdomain technique is applied. A preconditioned Krylo v subspace method (PKSM) is used for the solution of systems of linear equa tions. Level-based fill-in incomplete lower upper decomposition (ILU) preco nditioners are developed and their performance is examined. Scaling of stop ping criteria is applied to minimize the number of iterations for the PKSM. The effectiveness of the proposed method is tested on several benchmark te st problems. Copyright (C) 1999 John Wiley & Sons, Ltd.