An upwind finite difference scheme for meshless solvers

Authors:
D. Sridar;N. Balakrishnan
Affiliations:
CFD Centre, Department of Aerospace Engineering, Indian Institute of Science, Bangalore 560 012, India;CFD Centre, Department of Aerospace Engineering, Indian Institute of Science, Bangalore 560 012, India
Venue:
Journal of Computational Physics
Year:
2003

Citing 2
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Abstract

In this paper, we present a new 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 were 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.