HIGH-ORDER ACCURATE AND HIGH-RESOLUTION UPWIND FINITE-VOLUME SCHEME FOR SOLVING EULER REYNOLDS-AVERAGED NAVIER-STOKES EQUATIONS/

A high-order accurate explicit scheme is proposed for solving Euler/Re ynolds-averaged Navier-Stokes equations for steady and unsteady flows, respectively. Baldwin-Lomax turbulence model is utilized to obtain th e turbulent viscosity. For the explicit scheme, the Runge-Kutta time-s tepping methods of third orders are used in time integration, and spac e discretization for the right-hand side (RHS) terms of semi-discrete equations is performed by third-order ENN scheme for inviscid terms an d fourth-order compact difference for viscous terms. Numerical experim ents suggest that the present scheme not only has a fairly rapid conve rgence rate, but also can generate a highly resolved approximation to numerical solution, el en to unsteady problem.