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of 142
pro vyhledávání: '"Blender, Richard"'
Madden-Julian Oscillation described as a Nonlinear Burgers Kink in the Meridional Vorticity Equation
Autor:
Blender, Richard
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 equation with buoyancy parametrized by Convective Available Potential Ener
Externí odkaz:
http://arxiv.org/abs/2304.07020
Autor:
Blender, Richard, Fregin, Joscha
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 for systems with constant forcings. These equations have been applied
Externí odkaz:
http://arxiv.org/abs/2004.08148
Publikováno v:
Phys. Rev. E 98, 023101 (2018)
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 mean energy cycle defined by Lorenz (1955) in a simulation with a sim
Externí odkaz:
http://arxiv.org/abs/1802.07565
Autor:
Blender, Richard, Badin, Gualtiero
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 mechanisms, such as vortical flows and emission of gravity waves, emerge
Externí odkaz:
http://arxiv.org/abs/1606.03355
Autor:
Blender, Richard, Badin, Gualtiero
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
Externí odkaz:
http://arxiv.org/abs/1510.05846
Autor:
Blender, Richard, Badin, Gualtiero
Publikováno v:
R. Blender and G. Badin, 2015: "Hydrodynamic Nambu mechanics derived by geometric constraints", Journal of Physics A: Mathematical and Theoretical, 48, 105501
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 periodic domain, and with resulting dynamics constrained by an orthogonali
Externí odkaz:
http://arxiv.org/abs/1510.04832
Autor:
Blender, Richard
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 are unstable for all perturbations besides for a small set which are in
Externí odkaz:
http://arxiv.org/abs/1412.6317
Akademický článek
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Autor:
Lucarini, Valerio, Blender, Richard, Herbert, Corentin, Pascale, Salvatore, Ragone, Francesco, Wouters, Jeroen
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 structural and multiscale properties is crucial for the provision of a unifying
Externí odkaz:
http://arxiv.org/abs/1311.1190
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 non-Hamiltonian. In a low order truncation weak external forcing of th
Externí odkaz:
http://arxiv.org/abs/1301.5801