基于径向基函数与混合背景网格的动态网格变形方法

doi:10.7527/S1000-6893.2015.0266

Abstract

Abstract:

A dynamic grid deformation method based on radial basis function (RBF) interpolation and hybrid background grid mapping is presented in this paper. The hybrid background grid is made up of anisotropic grid near the moving surface and isotropic grid away from the moving surface. After the surface deforms or moves, all surface grid points contained in the anisotropic background grid are moved directly according to a prescribed motion or deformation to enforce an exact geometry. The motion of the isotropic background grid points is calculated through the RBF interpolation. Then the new computational grid after surface movement is generated through a one-to-one mapping between the computational grid and the hybrid background grid, which is maintained during the movement. Since the isotropic background grid points have a distance from the moving surface, exact geometry recovery is not essential for the RBF interpolation in the present method and the number of the RBF centers can be reduced to improve the efficiency and robustness of RBF interpolation. Finally, the present method is tested through two-dimensional and three-dimensional cases, focusing on deformed grid quality, parameter effect, grid topology dependence, complex shape deformation and efficiency. The test results show that this method can generate high-quality grid with large deformation efficiently.

Key words: radial basis function, hybrid background grid, dynamic grid, high efficiency, deformation

CLC Number:

SUN Yan, MENG Dehong, WANG Yuntao, DENG Xiaogang. Dynamic grid deformation method based on radial basis function and hybrid background grid[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2016, 37(5): 1462-1472.

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Dynamic grid deformation method based on radial basis function and hybrid background grid

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