Moving vortices on a sphere: Local node refinement for radial basis functions [presentation]
Flyer, N. (2008). Moving vortices on a sphere: Local node refinement for radial basis functions [presentation]. In SIAM Annual Meeting 2008. San Diego, CA, US.
The first use of mesh-free local node refinement with radial basis functions (RBFs) is presented. The test case is the wrap-up of two moving vortices on the sphere. The results are compared with a discontinuous Galerkin method, semi-Lagrangian method and a finite volume method. The RBF method giv... Show moreThe first use of mesh-free local node refinement with radial basis functions (RBFs) is presented. The test case is the wrap-up of two moving vortices on the sphere. The results are compared with a discontinuous Galerkin method, semi-Lagrangian method and a finite volume method. The RBF method gives error estimates that are at least an order of magnitude lower for a much lower number of nodes, while being able to take unusually large time steps. Show less