High-order accurate and high-resolution upwind finite volume scheme for solving euler/reynolds-averaged Navier-Stokes equations |
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Authors: | Wang Baoguo Guo Yanhu Liu Qiusheng Shen Mengyu |
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Institution: | (1) Department of Engineering Mechanics, Tsinghua University, 100084 Beijing, China |
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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.
The project supported by the National Natural Science Foundation of China under Contract No. 59576007 and 19572038 |
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Keywords: | high-order accurate high-resolution Euler equation Navier-Stokes equation unsteady flow transonic flow cascade flow internal flow |
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