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 | English |
|---|---|
| Pages (from-to) | 9020-9035 |
| Number of pages | 16 |
| Journal | Journal of Computational Physics |
| Volume | 228 |
| Issue number | 24 |
| DOIs | |
| Publication status | Published - 20 Dec 2009 |
| Externally published | Yes |
Keywords
- Conservation
- Finite difference
- High order
- Navier-Stokes
- Stability
ASJC Scopus subject areas
- Numerical Analysis
- Modeling and Simulation
- Physics and Astronomy (miscellaneous)
- General Physics and Astronomy
- Computer Science Applications
- Computational Mathematics
- Applied Mathematics
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