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.
- Finite difference
- High order
Nordström, J., Gong, J., van der Weide, E. T. A., & Svärd, M. (2009). A stable and conservative high order multi-block method for the compressible Navier-Stokes equations. Journal of computational physics, 228(24), 9020-9035. https://doi.org/10.1016/j.jcp.2009.09.005