Semi-Lagrangian advection on a spherical geodesic grid (Articolo in rivista)

Type
Label
  • Semi-Lagrangian advection on a spherical geodesic grid (Articolo in rivista) (literal)
Anno
  • 2007-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1002/fld.1445 (literal)
Alternative label
  • Carfora M.F. (2007)
    Semi-Lagrangian advection on a spherical geodesic grid
    in International journal for numerical methods in fluids (Print)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Carfora M.F. (literal)
Pagina inizio
  • 127 (literal)
Pagina fine
  • 142 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 55 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
  • 2 (literal)
Note
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Istituto per le Applicazioni del Calcolo 'Mauro Picone', CNR, via P. Castellino 111, 80131 Napoli, Italy (literal)
Titolo
  • Semi-Lagrangian advection on a spherical geodesic grid (literal)
Abstract
  • A simple and efficient numerical method for solving the advection equation on the spherical surface is presented. To overcome the well-known ‘pole problemÂ’ 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 the characteristic lines, avoiding any computationally expensive tree-search. Moreover, suitable interpolation procedures on such geodesic grid are presented and compared. The performance of the method in terms of accuracy and efficiency is assessed on two standard test cases: solid-body rotation and a deformation flow. (literal)
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