Multidimensional dissipation technique for Roe's flux-difference splitting

Abstract

A multidimensional dissipation technique is implemented on the Roe's flux difference splitting scheme to avoid the numerical shock instability that may occur in compressible flow solutions. The damping characteristic of the proposed technique is presented through a linear perturbation analysis on the problem of a moving shock along an odd-even grid perturbation. The performance of the proposed technique is studied using well-known problems that exhibit the numerical shock instability. The technique is further extended to achieve higher-order solution accuracy and evaluated by several benchmark test cases.