A parallel three-dimensional radial basis function interpolation method for unstructured dynamic meshes

Abstract

A radial basis function (RBF) interpolation method is implemented to be applied in computational fluid dynamics (CFD) problems with dynamic meshes. It is compared with the classic springs analogy smoothing, focusing on the mesh quality preserving and the computational cost. Moreover, the parallelization of the algorithms is critically analyzed. The main goal is to achieve simulations with meshes of millions of control volumes and run them with hundreds of processors, as well as to couple the adaptive of the grid to a CFD algorithm and extrapolate to a 3D application.