Leonard, AnthonyCalifornia Institute of Technology, Pasadena (CA)
Author
Abstract
In particle methods, an accuracy degradation can occur because of the distortion of the element positions. A solution consists in the periodic re-initialization of the particles onto regular locations, at the nodes of a lattice. This so-called redistribution works by the interpolation of particle quantities. The present work considers the design of redistribution schemes on general lattices and in particular on lattices with a higher level of symmetry than the usual cubic lattice. Such lattices allow schemes which are more compact and more isotropic. We test our schemes in the context of three-dimensional vortex methods.
Affiliations
California Institute of Technology, Pasadena (CA)Graduate Aeronautical Laboratories
Chatelain, P., & Leonard, A. (2008). Isotropic compact interpolation schemes for particle methods. Journal of Computational Physics, 227(6), 3244-3259. https://doi.org/10.1016/j.jcp.2007.11.039 (Original work published 2008)