A fast algorithm for particle simulations
Journal of Computational Physics
Algebraic mesh quality metrics for unstructured initial meshes
Finite Elements in Analysis and Design
Fast dynamic grid deformation based on Delaunay graph mapping
Journal of Computational Physics
Mesh deformation based on radial basis function interpolation
Computers and Structures
Fast Radial Basis Function Interpolation via Preconditioned Krylov Iteration
SIAM Journal on Scientific Computing
Efficient mesh motion using radial basis functions with data reduction algorithms
Journal of Computational Physics
Journal of Computational Physics
Hi-index | 31.45 |
A novel mesh deformation algorithm for unstructured polyhedral meshes is developed utilizing a tree-code optimization of a simple direct interpolation method. The algorithm is shown to provide mesh quality that is competitive with radial basis function based methods, with markedly better performance in preserving boundary layer orthogonality in viscous meshes. The parallelization of the algorithm is described, and the algorithm cost is demonstrated to be O(nlogn). The parallel implementation was used to deform meshes of 100 million nodes on nearly 200 processors demonstrating that the method scales to large mesh sizes. Results are provided for a simulation of a high Reynolds number fluid-structure interaction case using this technique.