@TechReport{ it:2009-006, author = {Jan Nordstr{\"o}m and Jing Gong and van der Weide, Edwin and Magnus Sv{\"a}rd}, title = {A Stable and Conservative High Order Multi-block Method for the Compressible Navier-Stokes Equations}, institution = {Department of Information Technology, Uppsala University}, department = {Division of Scientific Computing}, year = {2009}, number = {2009-006}, month = feb, abstract = {A stable and conservative high order multi-block method for the time-dependent compressible Navier-Stokes equations has been developed. Stability and conservation are proved using summation-by-parts operators, weak interface conditions and the energy method. This development makes it possible to exploit the efficiency of the high order finite difference method for non-trivial geometries. The computational results corroborate the theoretical analysis.} }