Numerical Methods for the Navier-Stokes Equations

This work contains selected contributions to a workshop on "Numerical Methods for the Navier-Stokes Equations" held at the IBM Scientific Center, Heidelberg during October 25-28, 1993, in collaboration with the SFB "Reactive Flow, Diffusion and transport" of Heidelberg University. The topics treated are advanced computational methods for the compressible and incompressible Navier-Stokes equations in fluid mechanics. This includes non-standard variational formulations, higher-order discretization schemes, efficient solution procedures, and particularly the most acute problems of robustness, adaptivity and parallelization. The main emphasis is put on the conceptional background and the mathematical theory of the various numerical approaches, but some implementation issues are also considered.