Vorticity-divergence semi-Lagrangian shallow-water model of the sphere based on compact finite differences

DOI10.1006/jcph.2002.7050zbMath1060.76086OpenAlexW2045032926MaRDI QIDQ697706

Mikhail A. Tolstykh

Publication date: 17 September 2002

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcph.2002.7050

zbMATH Keywords

Poisson equationregular latitude-longitude grid

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

Simulation of the seasonal atmospheric circulation with the new version of the semi-Lagrangian atmospheric model, A semi-Lagrangian double Fourier method for the shallow water equations on the sphere., Discretization in Numerical Weather Prediction: A Modular Approach to Investigate Spectral and Local SISL Methods, A Fourier finite volume element method for solving two-dimensional quasi-geostrophic equations on a sphere, Vorticity-divergence mass-conserving semi-Lagrangian shallow-water model using the reduced grid on the sphere, Mesh-free semi-Lagrangian methods for transport on a sphere using radial basis functions, A new family of high-order compact upwind difference schemes with good spectral resolution, Compact difference scheme for parabolic and Schrödinger-type equations with variable coefficients, Block-structured adaptive meshes and reduced grids for atmospheric general circulation models, A wave propagation method for hyperbolic systems on the sphere, Derivation of high-order compact finite difference schemes for non-uniform grid using polynomial interpolation, Parallel implementation of the cascade mass-conserving semi-Lagrangian transport scheme, Unsteady analytical solutions of the spherical shallow water equations

Uses Software

• chammp

Cites Work

• Unnamed Item
• The spectral element method for the shallow water equations on the sphere
• A standard test set for numerical approximations to the shallow water equations in spherical geometry
• Compact finite difference schemes with spectral-like resolution
• Fast shallow-water equation solvers in latitude-longitude coordinates
• Spectral transform solutions to the shallow water test set
• Lagrange-Galerkin methods on spherical geodesic grids: The shallow water equations
• Atmospheric circulation and weather prediction models using a semi-Lagrangian approach and high-order compact finite differences
• Application of double Fourier series to the shallow water equations on a sphere