Improved mesh deformation based on radial basis functions
Zhoufang Xiao, Haiyang Wang, Gang Xu · AIAA SCITECH 2023 Forum · 2023
View Video Presentation: https://doi.org/10.2514/6.2023-1685.vid An enhanced method based on radial basis functions is proposed for large mesh deformation. The traditional RBF method only uses the displacements of boundary nodes to interpolate the displacements of nodes inside the computational domain. Because of the lack of control from the inner region, the elements squeeze around the moving boundaries in the deformed mesh. And inverted elements tend to appear over this region at an early stage as the deformation continues. To enhance the capability of the RBF method for large deformation, we investigate a way to add control from the inner region when transferring the displacements from boundary nodes to inner mesh nodes. Some virtual nodes inside the computational domain are created, and their displacements interpolated by nearby boundary nodes are also used to compute the displacements of inner mesh nodes. Numerical results of three test cases demonstrate the effectiveness of the proposed method.