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

  • Richard Blender
  • Gualtiero BadinEmail author
Regular Article
First Online:

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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Copyright information

© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg 2017

Authors and Affiliations

  1. 1.Meteorological InstituteUniversity of HamburgHamburgGermany
  2. 2.Institute of OceanographyUniversity of HamburgHamburgGermany

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