Ball-IDWMeshDeformationMethodBasedonPointby Point Smoothing

Mesh deformation is a key technique for studying numerical simulation problems with moving boundaries. This paper presents the use of Ball-IDW, a point by point smoothing based inverse distance weighted function(IDW)interpolation mesh deformation method, to improve the efficiency of mesh deformation. A sub-mesh system centered around each internal node is constructed based on mesh topology relationships. Auxiliary interpolation nodes on the boundary from the center node are added to the sub-mesh to enhance the shape preserving ability of the IDW method. And all internal nodes and iterating are traversed using point by point smoothing until convergence conditions are met. Numerical examples demonstrate that due to its explicit calculation process, this method has improved computational efficiency by 20%~85% and 10%~80%, respectively, compared to the radial basis function(RBF)method and IDW method, with better quality, and the deformation ability has been improved by 2 times.