A three-dimensional grid adaptation method using the concept of anisotropic Cartesian grid has been developed to improve the efficiency of an existing Cartesian grid adaptation method by reducing the total number of cells needed to compute a flow field. The present grid adaptation is carried out by performing both grid coarsening and refinement in such a way that the cell aspect ratio can take an arbitrary value, keeping the grid smoothness. This flexibility necessitates the concept of unstructured approach. Two test cases: a cylinder in supersonic flow and an ONERA M6 wing in transonic flow show that the present method can well capture 2D and 3D flow features.
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