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A high-order accurate explicit scheme is proposed for solvingEuler/Reynolds-averaged Navier-Stokes equations for steady and unsteady flows,re-spectively.Baldwin-Lomax turbulence model is utilized to obtain the turbulent vis-cosity.For the explicit scheme,the Runge-Kutta time-stepping methods of thirdorders are used in time integration,and space discretization for the right-hand side(RHS)terms of semi-discrete equations is performed by third-order ENN scheme forinviscid terms and fourth-order compact difference for viscous terms.Numerical ex-periments suggest that the present scheme not only has a fairly rapid convergencerate,but also can generate a highly resolved approximation to numerical solution,even to unsteady problem.
A high-order accurate explicit scheme is proposed for solving Euler / Reynolds-averaged Navier-Stokes equations for steady and unsteady flows, re-spectively. Baldwin-Lomax turbulence model is utilized to obtain the turbulent vis-cosity. For the explicit scheme, the Runge-Kutta time-stepping methods of third orders are used in time integration, and space discretization for the right-hand side (RHS) terms of semi-discrete equations are performed by third-order ENN scheme for inviscid terms and fourth-order compact difference for viscous terms.Numerical ex-periments suggest that the present scheme not only has a relatively rapid convergence rate but also can produce a highly resolved approximation to numerical solution, even to unsteady problem.