The variational multiscale method for laminar and turbulent incompressible flow
Volker Gravemeier · OPUS Publication Server of the University of Stuttgart (University of Stuttgart) · 2003
The present thesis addresses a new approach for solving numerically instationary, incompressible flow governed by the appropriate set of Navier-Stokes equations. This approach named 'variational multiscale method' has recently been introduced as a powerful means for problems of computational mechanics having to deal with large ranges of scales. Such notably widened scale ranges emerge in various flow situations. At large, this study aims firstly at the development of a general framework for the numerical solution of the Navier-Stokes equations based on the variational multiscale method. Secondly, a specific implementation within a Galerkin finite method is realized based on this general framework. Finally, an extensive test program for the developed method in form of sample laminar and turbulent flow situations is conducted.