Isotropic compact interpolation schemes for particle methods

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.