A new hierarchically-structured \(n\)-dimensional covariant form of rotating equations of geophysical fluid dynamics
type: Item
instance of: scholarly article
title: A new hierarchically-structured \(n\)-dimensional covariant form of rotating equations of geophysical fluid dynamics
zbMATH Open document ID: 1338.76127
author: Werner Bauer
published in: GEM - International Journal on Geomathematics
publication date: 2016-05-18T00:00:00Z
Mathematics Subject Classification ID: 76U05
Mathematics Subject Classification ID: 76A02
Mathematics Subject Classification ID: 58J45
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 53Z99
zbMATH DE Number: 6581572
zbMATH Keywords: rotating Euler's equations
zbMATH Keywords: covariant equations
zbMATH Keywords: covariant split euler's equations of GFD
zbMATH Keywords: geophysical fluid dynamics
zbMATH Keywords: differential geometry
zbMATH Keywords: exterior calculus
MaRDI profile type: Publication
full work available at URL: s13137-015-0074-8
OpenAlex ID: W805805653
Wikidata QID: Q114687711
cites work: Q4746527
cites work: Spaces of Finite Element Differential Forms
cites work: Finite element exterior calculus, homological techniques, and applications
cites work: Finite element exterior calculus: from Hodge theory to numerical stability
cites work: Flow measurement handbook. Industrial designs, operating principles, performance, and applications
cites work: Geometrical theory of fluid flows and dynamical systems
cites work: Q3425090
cites work: Q3369398
cites work: A finite element exterior calculus framework for the rotating shallow-water equations
cites work: Discrete Poincaré lemma
cites work: Q3500002
cites work: Q4230517
cites work: Differential forms. With applications to the physical sciences
cites work: Q4819371
cites work: Q4262007
cites work: Vector analysis
cites work: Q3335096
cites work: Discrete Lie advection of differential forms
cites work: Structure-preserving discretization of incompressible fluids
cites work: Q3867381
cites work: Q3425095
DOI: 10.1007/S13137-015-0074-8
Recommended article: Global solutions for a new geometric flow with rotational invariance
Recommended article: Generalized quasi-geostrophy for spatially anisotropic rotationally constrained flows
Recommended article: A new class of equations for rotationally constrained flows
Recommended article: On geometrization of steady rotating hydromagnetic flows
Recommended article: On the differential geometry approach to geophysical flows
Recommended article: Q5234576
Recommended article: Variational asymptotics for rotating shallow water near geostrophy: a transformational approach
Recommended article: Approximating the equations governing rotating fluid motion: a case study based on a quasi-geostrophic model
Recommended article: Derivation of geostrophic equations as a rigorous limit of compressible rotating and heat conducting fluids with the general initial data
Recommended article: A new Legendre-type polynomial and its application to geostrophic flow in rotating fluid spheres
description: scientific article; zbMATH DE number 6581572