摘要

Aim. The introduction of the full paper reviews a number of relevant papers in the open literature and then proposes the deformation technique research mentioned in the title, which we believe is more efficient than previously and which is explained in sections 1 and 2. Their core consists of: "In hybrid unstructured grid, mesh deformation becomes difficult due to the complexity of grid topology. In this paper, an efficient mesh deformation technique for hybrid unstructured grid, which is based on radial basis functions, is developed. The principal procedure of this method is divided into two steps. Firstly, a series of radial basis functions is constructed by an interpolation method according to the displacements of moving boundary points. Later, the displacements of all points in the computation domain are determined by the above radial basis function series. In order to improve the efficiency, data reduction should be introduced into the interpolation process. Hence, a multi-level subspace radial basis function interpolation method based on greedy algorithm is presented to create an approximate interpolation instead of the original interpolation which is accurate for all moving boundary points." Typical deformation problems of NACA0012 airfoil and LANN wing with hybrid unstructured grid are selected as the test cases for demonstration. Calculated results, presented in Figs. 2,3,5 and 6 and Tables 1 and 2, and their analysis show preliminarily that the mesh deformation method of this paper has both good efficiency and good robustness on large deformation problems. Another excellent performance of the above method is that the grid quality can be well preserved during the deformation process.

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