Method

• Tile spherical surface with arbitrary number and size of rectangular elements;

  • Inscribe polyhedron with rectangular faces inside sphere
  • Map surface of polyhedron to surface of sphere with gnomic projection
  • Subdivide each face (variable)

• Define basis functions in each element

• Define test functions over sphere

• We use Adams-Bashforth 3rd order time stepping and 4th order Runge-Kutta to start.

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