Abstract
Computing a flow around a pitching airfoil, the unstructured moving-grid finite-volume method is developed in this paper. The method has been proposed for various moving boundary problems. However, it is limited for compressible inviscid flows. In the case of calculating a viscous flow at high Reynolds number as a flow around a pitching airfoil, it is necessary to solve a boundary layer. So, a hybrid gird system of a prismatic mesh for boundary layer region and tetrahedral mesh for other regions is suitable. In this paper, the unstructured hybrid moving-grid finite-volume method is formulated in four dimensional space-time unified domain to satisfy a geometric conservation law on such a moving grid in addition to satisfy a physical conservation law. The method is apply to a flow around a pitching NACA0012 airfoil, then the results show that the method is effective for a high Reynolds number viscous flow around a moving body.
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