Abstract
A high-order accurate explicit scheme is proposed for solving Euler/Reynolds-averaged Navier-Stokes equations for steady and unsteady flows, respectively. Baldwin-Lomax turbulence model is utilized to obtain the turbulent viscosity. 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 is performed by third-order ENN scheme for inviscid terms and fourth-order compact difference for viscous terms. Numerical experiments suggest that the present scheme not only has a fairly rapid convergence rate, but also can generate a highly resolved approximation to numerical solution, even to unsteady problem.
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The project supported by the National Natural Science Foundation of China under Contract No. 59576007 and 19572038
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Baoguo, W., Yanhu, G., Qiusheng, L. et al. High-order accurate and high-resolution upwind finite volume scheme for solving euler/reynolds-averaged Navier-Stokes equations. Acta Mech Sinica 14, 10–17 (1998). https://doi.org/10.1007/BF02486826
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DOI: https://doi.org/10.1007/BF02486826