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An upwind finite difference scheme for meshless solvers. (English) Zbl 1023.76034
Summary: We present an upwind finite difference scheme for meshless solvers. This new scheme, capable of working on any type of grid (structure, unstructured or even a random distribution of points) produces superior results. A means to construct schemes of specified order of accuracy is discussed. Numerical computations for different types of flow over a wide range of Mach numbers are presented. Also, these results are compared with those obtained using a cell vertex finite volume code on the same grids, and with theoretical values wherever possible. The present framework has the flexibility to choose between various upwind flux formulas.

MSC:
76M20 Finite difference methods applied to problems in fluid mechanics
76N15 Gas dynamics (general theory)
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