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为了提高大变形下动网格生成的效率和质量,基于径向基函数插值技术对原始Delaunay图映射动网格方法进行了改进。首先通过带多项式的径向基函数插值方法计算出背景网格远场边界点的位移;然后将背景网格位移插值到计算网格;最后利用衰减函数将计算网格远场位移衰减为零。基于矩形旋转网格变形实例比较了改进方法与原始Delaunay图映射动网格方法之间的差别,并研究了径向基基点数目和衰减函数类型对变形网格质量的影响。矩形旋转网格变形实例说明该方法能够精确恢复出Delaunay背景网格的旋转特性。NACA 0012翼型、NLR 7301两段翼和M6机翼网格变形算例进一步证明,通过添加控制点,该方法能够不重构背景网格实现大变形下高质量动网格的生成。
In order to improve the efficiency and quality of moving mesh generation under large deformation, the moving mesh method of original Delaunay graph mapping is improved based on radial basis function interpolation. Firstly, the displacement of the boundary point in the far field of the background grid is calculated by radial basis function interpolation with polynomial. Then the background grid displacement is interpolated to the calculation grid. Finally, the attenuation function is used to attenuate the far field displacement of the calculation grid to zero. The difference between the improved method and the original Delaunay graph moving mesh method is compared based on the rectangular rotating grid deformation example. The effects of the number of radial basis points and the type of attenuation function on the deformation mesh quality are also studied. Rectangular rotating grid deformation examples show that the method can accurately recover the Delaunay background grid rotation characteristics. The numerical examples of NACA 0012 airfoil and NLR 7301 two-segment wing and M6 wing mesh deformation further prove that this method can generate high-quality moving meshes with large deformation without reconstructing the background mesh by adding control points.