Energy-conserving and Hamiltonian low-order models in geophysical fluid dynamics

Energy-conserving and Hamiltonian low-order models in geophysical fluid dynamics

Arbitrary truncations in the Galerkin method commonly used to derive low-order models (LOMs) may violate fundamental conservation properties of the original equations, causing unphysical behaviors in LOMs such as unbounded solutions. To avoid these, energy-conserving LOMs are developed in the form o...

Full description

Bibliographic Details
Main Author: A. Gluhovsky
Format: Article
Language:English
Published: Copernicus Publications 2006-01-01
Series:Nonlinear Processes in Geophysics
Online Access:http://www.nonlin-processes-geophys.net/13/125/2006/npg-13-125-2006.pdf
id doaj-fc84d8a5e0884f699d1bfde3a8bfe4e2
record_format Article
spelling doaj-fc84d8a5e0884f699d1bfde3a8bfe4e22020-11-25T00:46:38ZengCopernicus PublicationsNonlinear Processes in Geophysics1023-58091607-79462006-01-01132125133Energy-conserving and Hamiltonian low-order models in geophysical fluid dynamicsA. GluhovskyArbitrary truncations in the Galerkin method commonly used to derive low-order models (LOMs) may violate fundamental conservation properties of the original equations, causing unphysical behaviors in LOMs such as unbounded solutions. To avoid these, energy-conserving LOMs are developed in the form of coupled Volterra gyrostats, based on analogies between fluid dynamics and rigid body mechanics. Coupled gyrostats prove helpful in retaining in LOMs the Hamiltonian structure of the original equations. Examples of Hamiltonian LOMs describing 2-D and 3-D Rayleigh-Bénard convection are presented, including the celebrated Lorenz model and its 3-D analog.http://www.nonlin-processes-geophys.net/13/125/2006/npg-13-125-2006.pdf
collection DOAJ
language English
format Article
sources DOAJ
author A. Gluhovsky
spellingShingle A. Gluhovsky
Energy-conserving and Hamiltonian low-order models in geophysical fluid dynamics
Nonlinear Processes in Geophysics
author_facet A. Gluhovsky
author_sort A. Gluhovsky
title Energy-conserving and Hamiltonian low-order models in geophysical fluid dynamics
title_short Energy-conserving and Hamiltonian low-order models in geophysical fluid dynamics
title_full Energy-conserving and Hamiltonian low-order models in geophysical fluid dynamics
title_fullStr Energy-conserving and Hamiltonian low-order models in geophysical fluid dynamics
title_full_unstemmed Energy-conserving and Hamiltonian low-order models in geophysical fluid dynamics
title_sort energy-conserving and hamiltonian low-order models in geophysical fluid dynamics
publisher Copernicus Publications
series Nonlinear Processes in Geophysics
issn 1023-5809
1607-7946
publishDate 2006-01-01
description Arbitrary truncations in the Galerkin method commonly used to derive low-order models (LOMs) may violate fundamental conservation properties of the original equations, causing unphysical behaviors in LOMs such as unbounded solutions. To avoid these, energy-conserving LOMs are developed in the form of coupled Volterra gyrostats, based on analogies between fluid dynamics and rigid body mechanics. Coupled gyrostats prove helpful in retaining in LOMs the Hamiltonian structure of the original equations. Examples of Hamiltonian LOMs describing 2-D and 3-D Rayleigh-Bénard convection are presented, including the celebrated Lorenz model and its 3-D analog.
url http://www.nonlin-processes-geophys.net/13/125/2006/npg-13-125-2006.pdf
work_keys_str_mv AT agluhovsky energyconservingandhamiltonianlowordermodelsingeophysicalfluiddynamics
_version_ 1725264101680087040

Similar Items