Variational discretization for rotating stratified fluids
DOI10.3934/dcds.2014.34.477zbMath1284.37058OpenAlexW2058871993MaRDI QIDQ379724
François Gay-Balmaz, Vladimir Zeitlin, Mathieu Desbrun, Evan S. Gawlik
Publication date: 11 November 2013
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2014.34.477
Euler-Poincaré formulationgeometric discretizationhydrostatic and geostrophic adjustmentsrotating stratified fluidsstructure-preserving schemes
Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Hamiltonian systems on groups of diffeomorphisms and on manifolds of mappings and metrics (37K65) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)
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Cites Work
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- Structure-preserving discretization of incompressible fluids
- Geometric, variational discretization of continuum theories
- Hamilton-Pontryagin integrators on Lie groups. I: Introduction and structure-preserving properties
- The Euler-Poincaré equations and semidirect products with applications to continuum theories
- Topological methods in hydrodynamics
- Self-consistent Hamiltonian dynamics of wave mean-flow interaction for a rotating stratified incompressible fluid
- Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
- Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface
- Discrete mechanics and variational integrators
- Finite element exterior calculus, homological techniques, and applications
- Saturation of inertial instability in rotating planar shear flows
- Nonlinear theory of geostrophic adjustment. Part 2. Two-layer and continuously stratified primitive equations
- Nonlinear development of inertial instability in a barotropic shear
- Statistically relevant conserved quantities for truncated quasigeostrophic flow
- Geometric Numerical Integration
- Hamilton’s principle for quasigeostrophic motion