A global semi-Lagrangian spectral model of the shallow water equations with variable resolution

DOI10.1016/J.JCP.2004.12.020zbMath1120.76345OpenAlexW2032750200MaRDI QIDQ556299

Daniel X. Guo, John B. Drake

Publication date: 13 June 2005

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2004.12.020

zbMATH Keywords

Conformal transformationSemi-LagrangianShallow water equationsSpectralVariable resolution

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Spectral methods applied to problems in fluid mechanics (76M22) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (4)

On stability and convergence of semi-Lagrangian methods for the first-order time-dependent nonlinear partial differential equations in 1D ⋮ Unnamed Item ⋮ A novel variable resolution global spectral method on the sphere ⋮ A Fourier finite volume element method for solving two-dimensional quasi-geostrophic equations on a sphere

Cites Work

• A standard test set for numerical approximations to the shallow water equations in spherical geometry
• A global semi-Lagrangian spectral model for the reformulated shallow water equations
• Unnamed Item

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