Shock propagation and diffraction through cavity

Abstract

This work presents a numerical analysis of a planar moving shock wave with Mach number Ms = 1.3, travelling through a square cavity geometry with rigid boundaries. A high-order artificial viscosity based Discontinuous Spectral Element Method (DSEM) is used for this purpose. The explicit numerical scheme utilizes entropy generation based transport coefficients to solve the conservative form of the viscous compressible fluid flow equations. Numerical prediction of the shock propagation and diffraction is found to be in excellent agreement with the experimental results of the literature. The stable numerical scheme resolves the detail of the complex flow dynamics for varying reference Reynolds number (Ref). The range of values of the artificial coefficients and the relative contribution of the components of the artificial energy dissipation rate are investigated and compared for different cases. Artificial energy dissipation is less for low Ref. The dilatational dissipation dominates over other components till the incident shock wave resides in the flow domain.