This volume contains nineteen contributions of work, conducted since 1998 in the French - German Research Programme "Numerical Flow Simulation", which was initiated in 1996 by the Centre National de la Recherche Scientifique (CNRS) and the Deutsche Forschungsge? meinschaft (DFG). The main purpose of this second publication on the research programme, is to give an overview over recent progress, and to make the obtained results available to the public...