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A Finite-Volume Mass- and Vorticity-Conserving Shallow-Water Model using Penta-/Hexagonal Grids

In: Numerical Mathematics and Advanced Applications

Author

Listed:
  • William Sawyer

    (Swiss Federal Institute of Technology (ETH Zurich))

  • Rolf Jeltsch

    (Swiss Federal Institute of Technology (ETH Zurich))

Abstract

Summary A finite-volume scheme using penta-/hexagonal (PH) grids is presented for the shallow water model on the sphere. The irregular structure of the PH grid presents new challenges, e.g. for the calculation of energy gradients. Radial basis functions (RBFs) are employed for the accurate and efficient approximation of these values. The resulting algorithm is shown to be mass- and vorticity-conserving, and initial numerical results are presented.

Suggested Citation

  • William Sawyer & Rolf Jeltsch, 2004. "A Finite-Volume Mass- and Vorticity-Conserving Shallow-Water Model using Penta-/Hexagonal Grids," Springer Books, in: Miloslav Feistauer & Vít Dolejší & Petr Knobloch & Karel Najzar (ed.), Numerical Mathematics and Advanced Applications, pages 746-755, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-18775-9_73
    DOI: 10.1007/978-3-642-18775-9_73
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