Numerical Solution of Hypersonic Viscous Flow Using Rotated-Hybrid Riemann Solver

Abstract

The paper deals with the numerical solution of the laminar and turbulent flow of a viscous fluid at hypersonic velocities. The laminar flow is described by the system of Navier-Stokes equations, while the turbulent flow is modeled by the averaged Navier-Stokes equations which are completed by the explicit algebraic model of Reynolds stresses (EARSM model of turbulence). The numerical solution is obtained by the finite volume method based on the rotated-hybrid Riemann solver and explicit Runge-Kutta method. The proposed method is tested on the laminar flow over a double wedge geometry and on the turbulent flow around the Kinzhal missile.