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.
Original language | Undefined |
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Pages (from-to) | 9020-9035 |
Journal | Journal of computational physics |
Volume | 228 |
Issue number | 24 |
DOIs | |
Publication status | Published - 2009 |
Keywords
- Stability
- Finite difference
- Conservation
- High order
- IR-80105
- Navier–Stokes