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  Viscous dissipation in 2D fluid dynamics as a symplectic process and its metriplectic representation

Blender, R., & Badin, G. (2017). Viscous dissipation in 2D fluid dynamics as a symplectic process and its metriplectic representation. The European Physical Journal Plus, 132: 137. doi:10.1140/epjp/i2017-11440-x.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-002D-D884-4 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-002D-D885-2
Genre: Journal Article

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 Creators:
Blender, Richard1, Author           
Badin, Gualtiero2, Author           
Affiliations:
1A 1 - Climate Variability and Predictability, Research Area A: Climate Dynamics and Variability, The CliSAP Cluster of Excellence, External Organizations, ou_1863478              
2A 3 - Climate Sensitivity and Sea Level, Research Area A: Climate Dynamics and Variability, The CliSAP Cluster of Excellence, External Organizations, ou_1863480              

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 Abstract: Dissipation can be represented in Hamiltonian mechanics in an extended phase space as a symplectic process. The method uses an auxiliary variable which represents the excitation of unresolved dynamics and a Hamiltonian for the interaction between the resolved dynamics and the auxiliary variable. This method is applied to viscous dissipation (including hyper-viscosity) in a two-dimensional fluid, for which the dynamics is non-canonical. We derive a metriplectic representation and suggest a measure for the entropy of the system.

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Language(s): eng - English
 Dates: 2017
 Publication Status: Issued
 Pages: -
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 Table of Contents: -
 Rev. Type: Peer
 Identifiers: DOI: 10.1140/epjp/i2017-11440-x
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Title: The European Physical Journal Plus
Source Genre: Journal
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Pages: - Volume / Issue: 132 Sequence Number: 137 Start / End Page: - Identifier: ISBN: 2190-5444