Abstract
The objective of the present paper is to evaluate the efficiency of several high resolution, non-oscillatory schemes based on the local extremum diminishing (LED) principle [1], [2] in the case of supersonic flow computation past obstacles in two dimensions. The Euler equations of gas dynamics have been solved in a cell-vertex finite volume framework in conjunction with the non-oscillatory dissipation schemes for simulation of supersonic flow fields. Satisfactory results have been obtained with the switched as well as the flux limited dissipation schemes, namely, SLIP and USLIP schemes using scalar diffusive flux. Four different types of flux splitting techniques have also been investigated along with the switched scheme. In particular, the wave-particle splitting proposed by Balakrishnan and Deshpande [3] for upwind schemes has been formulated and applied to the present symmetric or central scheme.
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