摘要
发展了一种基于径向基函数(RBF)插值和混合背景网格映射的动态网格变形方法。混合背景网格由运动物面附近的各向异性网格和偏离运动物面的各向同性网格组成。物面变形或运动后,包含在各向异性背景网格中的所有物面网格点的位移由指定的物面运动规律得到,而各向同性背景网格点的位移通过径向基函数插值获得。然后变形后的计算网格利用计算网格与混合背景网格之间固定的映射关系代数插值得到。各向同性网格距离物面一定的距离,消除了物面保形对径向基函数插值的要求,从而可以减少径向基函数基点的数量,以提高插值的效率和可靠性。最后,通过二维和三维算例对该方法的变形网格质量、参数影响、网格拓扑依赖性、复杂外形变形能力及网格变形效率进行了测试。测试结果表明,该方法能够高效生成大变形下高质量的变形网格。
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 highquality grid with large deformation efficiently.
出处
《航空学报》
EI
CAS
CSCD
北大核心
2016年第5期1462-1472,共11页
Acta Aeronautica et Astronautica Sinica
基金
国家"863"计划(2012AA051304)
空气动力学国家重点实验室创新研究基金(SKLA2014CX001)~~
关键词
径向基函数
混合背景网格
动态网格
高效
变形
radial basis function
hybrid background grid
dynamic grid
high efficiency
deformation
