Incompressible Viscous Ows

In this article, we describe some approaches to the eecient numerical computation of viscous incompressible ows governed by the Navier-Stokes equations. We concentrate on laminar ows, stationary as well as nonstationary, for Reynolds numbers of moderate size, and in general domains. The emphasis is on spatial discretization by the nite element method. We discuss the treatment of the incompressibility constraint, the time-stepping process, techniques of error control and mesh adaptation and the solution of the resulting indeenite algebraic equations.

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