120 citations · 178 across the 9 of their papers we have counts for
10 papers
Madden-Julian Oscillation described as a Nonlinear Burgers Kink in the Meridional Vorticity Equation
Richard Blender
A dynamic equation for a large scale convective event in the tropical atmosphere similar to the Madden--Julian Oscillation (MJO) is suggested based on the meridional vorticity equa…
Wave Triad with Forcings as a Nambu System
Richard Blender, Joscha Fregin
The dynamics of an ideal wave triad with real amplitudes has a well-known Nambu representation with energy and enstrophy as conservation laws. Here we derive Nambu representations…
Fluctuation Analysis of the Atmospheric Energy Cycle
Richard Blender, Denny Gohlke, Frank Lunkeit
The atmosphere gains available potential energy by solar radiation and dissipates kinetic energy mainly in the atmospheric boundary layer. We analyze the fluctuations of the global…
Construction of Hamiltonian and Nambu forms for the shallow water equations
Richard Blender, Gualtiero Badin
A systematic method to derive the Hamiltonian and Nambu form for the shallow water equations, using the conservation for energy and potential enstrophy, is presented. Different mec…
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…
Mathematical and Physical Ideas for Climate Science
Valerio Lucarini, Richard Blender, Corentin Herbert +3
The climate is a forced and dissipative nonlinear system featuring non-trivial dynamics of a vast range of spatial and temporal scales. The understanding of the climate's structura…
Avalanches, Breathers and Flow Reversal in a Continuous Lorenz-96 Model
Richard Blender, Jeroen Wouters, Valerio Lucarini
For the discrete model suggested by Lorenz in 1996 a one-dimensional long wave approximation with nonlinear excitation and diffusion is derived. The model is energy conserving but…
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…