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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.

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