Compact third-order multidimensional upwind discretization for steady and unsteady flow simulations
✍ Scribed by D. Caraeni; L. Fuchs
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 834 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0045-7930
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✦ Synopsis
We propose a new third-order multidimensional upwind algorithm for the solution of the flow equations on tetrahedral cells unstructured grids. This algorithm has a compact stencil (cell-based computations) and uses a finite element idea when computing the residual over the cell to achieve its third-order (spatial) accuracy. The construction of the new scheme is presented. The asymptotic accuracy for steady or unsteady, inviscid or viscous flow situations is proved using numerical experiments. The new high-order discretization proves to have excellent parallel scalability. Our studies show the advantages of the new compact third-order scheme when compared with the classical second-order multidimensional upwind schemes.