Short Note: A Fourier-based elliptic solver for vortical flows with periodic and unbounded directions

  • Authors:

  • Philippe Chatelain;Petros Koumoutsakos

  • Affiliations:

  • Chair of Computational Science, ETH Zurich, CH-8092 Zurich, Switzerland;Chair of Computational Science, ETH Zurich, CH-8092 Zurich, Switzerland

  • Venue:
  • Journal of Computational Physics
  • Year:
  • 2010

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Abstract

We present a computationally efficient, adaptive solver for the solution of the Poisson and Helmholtz equation used in flow simulations in domains with combinations of unbounded and periodic directions. The method relies on using FFTs on an extended domain and it is based on the method proposed by Hockney and Eastwood for plasma simulations. The method is well-suited to problems with dynamically growing domains and in particular flow simulations using vortex particle methods. The efficiency of the method is demonstrated in simulations of trailing vortices.