Design of an optimized Schwarz domain decomposition method for Navier-Stokes equations
Résumé
In this work we present optimized interface conditions for the Schwarz domain decomposition algorithm for the Navier-Stokes equations. We start with a presentation of the perfectly absorbing conditions in the linear case. These conditions, which are not tractable in practice, are studied in order to derive some relevant approximations. A family of such approximate conditions are proposed, and their coefficients are then optimized in order to minimize the convergence rate of the Schwarz algorithm. These conditions are then implemented and validated in a numerical model on the well known test case of the driven cavity.