Semi-Lagrangian advection on a spherical geodesic grid

@article{Carfora2007SemiLagrangianAO,
  title={Semi-Lagrangian advection on a spherical geodesic grid},
  author={M. Carfora},
  journal={International Journal for Numerical Methods in Fluids},
  year={2007},
  volume={55},
  pages={127-142}
}
  • M. Carfora
  • Published 2007
  • Mathematics
  • International Journal for Numerical Methods in Fluids
  • SUMMARY 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… CONTINUE READING

    Figures and Tables from this paper.

    Interactive Ray Casting of Geodesic Grids
    • 11
    • PDF
    Efficient Fluid Simulation on the Surface of a Sphere
    • 7
    Real-Time Fluid Simulation on the Surface of a Sphere
    • 2
    • Highly Influenced

    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 30 REFERENCES