Discontinuous Galerkin solver for the shallow-water equations in covariant form on the sphere and the ellipsoid

DOI10.1016/j.jcp.2020.109384zbMath1436.65136OpenAlexW3010138261MaRDI QIDQ777555

Michael Baldauf

Publication date: 7 July 2020

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2020.109384

zbMATH Keywords

manifoldsdiscontinuous Galerkin methodshallow-water equationsdynamical corecovariant tensor formalism

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) PDEs on manifolds (35R01)

Related Items (3)

A horizontally explicit, vertically implicit (HEVI) discontinuous Galerkin scheme for the 2-dimensional Euler and Navier-Stokes equations using terrain-following coordinates ⋮ A geometrically intrinsic Lagrangian-Eulerian scheme for 2D shallow water equations with variable topography and discontinuous data ⋮ Well balanced finite volume schemes for shallow water equations on manifolds

Uses Software

• chammp
• ICON

Cites Work

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• Planetary (Rossby) waves and inertia–gravity (Poincaré) waves in a barotropic ocean over a sphere

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