A superlinearly convergent Mach-uniform finite volume method for the Euler equations on staggered unstructured grids

A superlinearly convergent Mach-uniform finite volume method for the Euler equations on staggered unstructured grids

A Mach-uniform finite volume scheme for solving the unsteady Euler equations on staggered unstructured triangular grids that uses linear reconstruction is described. The scheme is applied to three benchmark problems and is found to be considerably more accurate than a similar scheme based on piecewi...

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Veröffentlicht in:Journal of computational physics 2006-09, Vol.217 (2), p.277-294
Hauptverfasser: Vidović, D., Segal, A., Wesseling, P.
Format: Artikel
Sprache:eng
Schlagworte:
Benchmarking
Compressible flow
Computation
Computational techniques
Euler equations
Exact sciences and technology
Finite volume method
Mach-uniform
Mathematical analysis
Mathematical methods in physics
Physics
Reconstruction
Ringleb
Staggered unstructured grid
Unsteady
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Zusammenfassung:A Mach-uniform finite volume scheme for solving the unsteady Euler equations on staggered unstructured triangular grids that uses linear reconstruction is described. The scheme is applied to three benchmark problems and is found to be considerably more accurate than a similar scheme based on piecewise constant reconstruction.
ISSN:0021-9991
1090-2716
DOI:10.1016/j.jcp.2006.01.031