Semi-Lagrangian advection on a spherical geodesic grid

@inproceedings{Carfora2007SemiLagrangianAO,
  title={Semi-Lagrangian advection on a spherical geodesic grid},
  author={Maria Francesca Carfora},
  year={2007}
}
A simple and efficient numerical method for solving the advection equation on the spherical surface is presented. To overcome the well-known ‘pole problem’ related to the polar singularity of spherical coordinates, the space discretization is performed on a geodesic grid derived by a uniform triangulation of the sphere; the time discretization uses a semi-Lagrangian approach. These two choices, efficiently combined in a substepping procedure, allow us to easily determine the departure points of… CONTINUE READING

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