Towards Numerical Simulation of Hypersonic Turbulent Flows using High Order Methods

摘要

The paper presents the development of a high order finite volume flow solver of Navier-Stokes equations with source terms for application to high Mach number nonequilibrium flow simulations. Inviscid fluxes are approximated using a fifth-order accurate Weighted Non-Oscillatory Scheme (WENO) and viscous fluxes are approximated using a fourth-order (central difference) accurate scheme. The code is validated with the exact solution available for the Sod shock tube problem. The new 3D, high-order accurate, parallel solver showed good agreement with the AFRL ANDEE (Aerothermal Nonequlibrium Detailed Energy Exchange) code for a blunt body problem for both ideal gas and real gas at high speed flow conditions. We use the newly developed code to study the Taylor-Green vortex in a periodic box, and present the evolution of flow for translational and vibrational temperatures depicting the energy exchange between these two modes.