Effectiveness of the operator splitting for solving the atmospherical shallow water equations

DOI10.1108/09615530110385102zbMath1012.76063OpenAlexW2050442086WikidataQ58160335 ScholiaQ58160335MaRDI QIDQ2729149

Maria Francesca Carfora

Publication date: 19 June 2003

Published in: International Journal of Numerical Methods for Heat & Fluid Flow (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/09615530110385102

zbMATH Keywords

operator splittingcontinuity equationmomentum equationrotating spherevon Neumann stability analysisatmospherical shallow water equationssemi-implicit semi-Lagrangian mixed finite-difference finite-volume model

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite difference methods applied to problems in fluid mechanics (76M20) Finite volume methods applied to problems in fluid mechanics (76M12) General theory of rotating fluids (76U05)

Related Items (2)

Improvement of fast fluid dynamics with a conservative semi-Lagrangian scheme ⋮ Interpolation on spherical geodesic grids: a comparative study

Cites Work

• Unnamed Item
• A standard test set for numerical approximations to the shallow water equations in spherical geometry
• Semi-Lagrangian treatment of advection on the sphere with accurate spatial and temporal approximations
• Semi-implicit finite difference methods for the two-dimensional shallow water equations
• A fractional step solution method for the unsteady incompressible Navier- Stokes equations in generalized coordinate systems
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems

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