Shock propagation and diffraction through cavity
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.