Isotropic compact interpolation schemes for particle methods

  • Authors:

  • Philippe Chatelain;Anthony Leonard

  • Affiliations:

  • Graduate Aeronautical Laboratories, California Institute of Technology, Pasadena, CA 91125, USA;Graduate Aeronautical Laboratories, California Institute of Technology, Pasadena, CA 91125, USA

  • Venue:
  • Journal of Computational Physics
  • Year:
  • 2008

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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.