Accurate and Efficientre-Evaluation of Cell-Interface Convective Fluxes

Abstract

In order to reduce the excessive numerical dissipation which is induced when a grid system is not aligned with a discontinuity, a new spatial treatment of ce11·interface fluxes is introduced. The M-AUSMPW+ in this paper has the fonnula that has an additional procedure of redefining transferred properties at a cell-interface, based on AUSMPW+. The newly defined transferred property could eliminate numerical dissipation effectively in non~flow aligned grid system of multi-dimensional flows. Through several test cases M-AUSMPW+ proves to be efficient and about twice more accurate than conventional upwind schemes. The three-dimensional implementation of M-AUSMPW+ is expected to provide accuracy and efficiency improvement furthermore.