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physics.flu-dyn2015★ 19 cited
Hydrodynamic Nambu Brackets derived by Geometric Constraints
Richard Blender, Gualtiero Badin
A geometric approach to derive the Nambu brackets for ideal two-dimensional (2D) hydrodynamics is suggested. The derivation is based on two-forms with vanishing integrals in a peri…
physics.flu-dyn2015
Representation of Viscous Dissipation in 2D Fluid Dynamics as a Symplectic Process and its Metriplectic Representation
Richard Blender, Gualtiero Badin
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…