Quadrilateral Grids and Finite Volume Methods on the Sphere by Randy LeVeque at BIRS, September 1, 2008

• Information about the workshop and slides of other speakers

• My slides: pdf file

• This talk is based on the paper Logically Rectangular Grids and Finite Volume Methods for PDEs in Circular and Spherical Domains
  by Donna A. Calhoun, Christiane Helzel, and Randall J. LeVeque, SIAM Review, to appear.

• Movies shown:
  • Illustration of the circle mapping

  • Illustration of the sphere mapping

  • Solid body rotation (advection) on sphere ... in the computational plane

  • Shallow water on the sphere ... scatter plot of depth vs. latitude

  • Shallow water on the sphere with AMR ... in the computational plane

  • Shallow water in a starlike tank
    

  • Turing model: pattern formation from random data
    

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