Non-ergodicity of inviscid two-dimensional flow on a beta-plane and on the surface of a rotating sphere
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Publication:3777737
DOI10.1017/S0022112087002891zbMath0636.76120MaRDI QIDQ3777737
Publication date: 1987
Published in: Journal of Fluid Mechanics (Search for Journal in Brave)
numerical simulationstwo-dimensional flownon-ergodicitydoubly-periodic beta-planefinite-amplitude Lyapunov stability theoremnon-vanishing absolute-vorticity gradientphase-space surfaceunforced beta-plane turbulencezonally symmetric basic states
Vortex flows for incompressible inviscid fluids (76B47) General theory of rotating fluids (76U05) Turbulence (76F99) Hydrodynamic stability (76E99)
Related Items (13)
A general method for finding extremal states of Hamiltonian dynamical systems, with applications to perfect fluids ⋮ Drop formation during coating of vertical fibres ⋮ Formal stability of circular vortices ⋮ Energy extremals and nonlinear stability in a variational theory of a coupled barotropic flow - Rotating solid sphere system ⋮ On the existence of two-dimensional Euler flows satisfying energy-Casimir stability criteria ⋮ Hyperviscosity and statistical equilibria of Euler turbulence on the torus and the sphere ⋮ On the existence of Arnold-stable barotropic flows on a rotating sphere ⋮ Scaling, spectra and zonal jets in beta-plane turbulence ⋮ Anisotropic spectra in two-dimensional turbulence on the surface of a rotating sphere ⋮ Navier-Stokes equations on the \(\beta\)-plane: determining modes and nodes ⋮ Passive scalar transport in β-plane turbulence ⋮ Broken ergodicity and coherent structure in homogeneous turbulence ⋮ Statistical stationary states for a two-layer quasi-geostrophic system
Cites Work
- Comparison of direct numerical simulation of two-dimensional turbulence with two-point closure: the effects of intermittency
- H theorems in statistical fluid dynamics
- Decay of two-dimensional homogeneous turbulence
- Statistical dynamics of two-dimensional flow
- Ergodic properties of inviscid truncated models of two-dimensional incompressible flows
- The equilibrium statistical mechanics of simple quasi-geostrophic models
- Stochastic closure for nonlinear Rossby waves
- Waves and turbulence on a beta-plane
- Randomness of low-order models of two-dimensional inviscid dynamics
- Statistical features of the evolution of two-dimensional turbulence
- The emergence of isolated coherent vortices in turbulent flow
- Inviscid dynamics of two-dimensional turbulence
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