Higher-order Unstructured Finite Volume Methods for Turbulent Aerodynamic Flows

In this paper, we describe the steps for constructing a higher-order finite volume unstructured solver for turbulent aerodynamic flows. These include the strategies for curving the interior faces of a mesh, solution reconstruction on highly anisotropic meshes with curvature, robust implementation and coupling of a RANS turbulence model and efficient solution method. The solutions are verified by one of the verification test cases of the NASA Langley turbulence model resource. Also, the solutions and convergence behaviors are presented for fully turbulent flow over a flat plate and subsonic flow over the NACA 0012 airfoil. Our results show fast and efficient convergence for second-, thirdand fourthorder solutions for the flat plate test case and secondand third-order solutions for the airfoil. In addition, the accuracy of the solution is reasonable on meshes with sufficient degrees of freedom in which the turbulence features are captured appropriately.

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