120 citations · 178 across the 9 of their papers we have counts for
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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…
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…
Instability of Planetary Flows using Riemann Curvature: a Numerical Study
Richard Blender
The instability of ideal non-divergent zonal flows on the sphere is determined numerically by the instability criterion of Arnol'd (1966) for the sectional curvature. Zonal flows a…
Nambu representation of an extended Lorenz model with viscous heating
Richard Blender, Valerio Lucarini
We consider the Nambu and Hamiltonian representations of Rayleigh-Benard convection with a nonlinear thermal heating effect proportional to the Eckert number (Ec). The model we use…