Semi-Lagrangian treatment of advection on the sphere with accurate spatial and temporal approximations

DOI10.1016/S0895-7177(00)00184-9zbMath1004.76058OpenAlexW2020728477WikidataQ58160357 ScholiaQ58160357MaRDI QIDQ1595171

Umberto Amato, Maria Francesca Carfora

Publication date: 6 February 2003

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0895-7177(00)00184-9

zbMATH Keywords

sphereadvectiontransport equationcirculationsemi-Lagrangian methodnumerical weather predictionspatial interpolation

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Finite difference methods applied to problems in fluid mechanics (76M20) General theory of rotating fluids (76U05)

Related Items

A class of deformational flow test cases for linear transport problems on the sphere, Effectiveness of the operator splitting for solving the atmospherical shallow water equations, Interpolation on spherical geodesic grids: a comparative study

Uses Software

• chammp

Cites Work

• A standard test set for numerical approximations to the shallow water equations in spherical geometry
• Semi-implicit finite difference methods for the two-dimensional shallow water equations