A new hierarchically-structured \(n\)-dimensional covariant form of rotating equations of geophysical fluid dynamics

DOI10.1007/s13137-015-0074-8zbMath1338.76127OpenAlexW805805653WikidataQ114687711 ScholiaQ114687711MaRDI QIDQ284444

Werner Bauer

Publication date: 18 May 2016

Published in: GEM - International Journal on Geomathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13137-015-0074-8

zbMATH Keywords

differential geometrygeophysical fluid dynamicscovariant equationscovariant split euler's equations of GFDexterior calculusrotating Euler's equations

Mathematics Subject Classification ID

General theory of rotating fluids (76U05) Finite element methods applied to problems in fluid mechanics (76M10) Hyperbolic equations on manifolds (58J45) Foundations of fluid mechanics (76A02) Applications of differential geometry to sciences and engineering (53Z99)

Related Items (4)

A quasi-Hamiltonian discretization of the thermal shallow water equations ⋮ Intrinsic nonlinear elasticity: an exterior calculus formulation ⋮ A Structure-Preserving Approximation of the Discrete Split Rotating Shallow Water Equations ⋮ A structure-preserving split finite element discretization of the split wave equations

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