Uppsala University Department of Information Technology

Technical Report 2009-006

A Stable and Conservative High Order Multi-block Method for the Compressible Navier-Stokes Equations

Jan Nordström, Jing Gong, Edwin van der Weide, and Magnus Svärd

February 2009

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.

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Uppsala Universitet