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[01580] Fast Summation for the Barotropic Vorticity Equations

  • Session Time & Room : 4E (Aug.24, 17:40-19:20) @D401
  • Type : Contributed Talk
  • Abstract : The barotropic vorticity equations describe the conservation of absolute vorticity for a fluid on a rotating sphere. When transformed appropriately, one can rewrite these with a Biot-Savart integral, and with a Lagrangian discretization, one can arrive at a discretized system with an update taking the form of a N-body sum. In this talk, I present a fast summation technique that reduces the asymptotic complexity of this sum from $O(N^2)$ to $O(N\log{N})$ with a new spherical tree code, suitable for a wide range of problems in geophysical fluid dynamics.
  • Classification : 76M28, 76U99, 65M75, 86A08
  • Format : Talk at Waseda University
  • Author(s) :
    • Anthony Chen (University of Michigan, Ann Arbor)