Study of Shock Tube Problem on Two-dimensional Triangular Grids by means of RoeVLPA Scheme

Abstract

A Roe flux-difference splitting scheme with an entropy and shock fixes (RoeVLPA) for high-speed compressible flow analysis on structured triangular grid is presented. The proposed method heals nonphysical flow solutions such as the carbuncle phenomenon, the shock instability from the odd-even decoupling problem, and the expansion shock generated from the violated entropy condition. The proposed scheme is further extended to obtain higher-order spatial and temporal solution accuracy. A computational model of a shock tube being used in laboratory is presents to investigate the characteristics of the shock wave. The performance and efficiency of the proposed method are evaluated by solving several shock tube problems.