Anisotropic spectra in two-dimensional turbulence on the surface of a rotating sphere

2001 ◽  
Vol 13 (1) ◽  
pp. 225-240 ◽  
Author(s):  
Huei-Ping Huang ◽  
Boris Galperin ◽  
Semion Sukoriansky
Keyword(s):  
Two Dimensional ◽  
Rotating Sphere

Circumpolar jets emerging in two-dimensional non-divergent decaying turbulence on a rapidly rotating sphere

2007 ◽  
Vol 39 (1-3) ◽  
pp. 209-220 ◽  
Author(s):  
Shin-Ichi Takehiro ◽  
Michio Yamada ◽  
Yoshi-Yuki Hayashi
Keyword(s):  
Two Dimensional ◽  
Rotating Sphere ◽  
Decaying Turbulence

scholarly journals Long-time asymptotic states of forced two-dimensional barotropic incompressible flows on a rotating sphere

2010 ◽  
Vol 22 (5) ◽  
pp. 056601 ◽  
Author(s):  
Kiori Obuse ◽  
Shin-ichi Takehiro ◽  
Michio Yamada
Keyword(s):  
Incompressible Flows ◽  
Two Dimensional ◽  
Rotating Sphere ◽  
Long Time

Spectral anisotropy in forced two-dimensional turbulence on a rotating sphere

1997 ◽  
Vol 9 (12) ◽  
pp. 3834-3842 ◽  
Author(s):  
Toru Nozawa ◽  
Shigeo Yoden
Keyword(s):  
Two Dimensional ◽  
Rotating Sphere

scholarly journals Non-ergodicity of inviscid two-dimensional flow on a beta-plane and on the surface of a rotating sphere

1987 ◽  
Vol 184 ◽  
pp. 289-302 ◽  
Author(s):  
Theodore G. Shepherd
Keyword(s):  
Phase Space ◽  
Domain Size ◽  
Finite Amplitude ◽  
Two Dimensional ◽  
Planar Case ◽  
Rotating Sphere ◽  
Dimensional Flow ◽  
Beta Plane ◽  
Quadratic Invariants ◽  
Two Dimensional Flow

It is shown that, for a sufficiently large value of β, two-dimensional flow on a doubly-periodic beta-plane cannot be ergodic (phase-space filling) on the phase-space surface of constant energy and enstrophy. A corresponding result holds for flow on the surface of a rotating sphere, for a sufficiently rapid rotation rate Ω. This implies that the higher-order, non-quadratic invariants are exerting a significant influence on the statistical evolution of the flow. The proof relies on the existence of a finite-amplitude Liapunov stability theorem for zonally symmetric basic states with a non-vanishing absolute-vorticity gradient. When the domain size is much larger than the size of a typical eddy, then a sufficient condition for non-ergodicity is that the wave steepness ε < 1, where ε = 2√2Z/βU in the planar case and $\epsilon = 2^{\frac{1}{4}} a^{\frac{5}{2}}Z^{\frac{7}{4}}/\Omega U^{\frac{5}{2}}$ in the spherical case, and where Z is the enstrophy, U the r.m.s. velocity, and a the radius of the sphere. This result may help to explain why numerical simulations of unforced beta-plane turbulence (in which ε decreases in time) seem to evolve into a non-ergodic regime at large scales.

scholarly journals Rossby Waves and Jets in Two-Dimensional Decaying Turbulence on a Rotating Sphere

2007 ◽  
Vol 64 (12) ◽  
pp. 4246-4269 ◽  
Author(s):  
Yoshi-Yuki Hayashi ◽  
Seiya Nishizawa ◽  
Shin-ichi Takehiro ◽  
Michio Yamada ◽  
Keiichi Ishioka ◽  
...  
Keyword(s):  
Rossby Waves ◽  
Momentum Transport ◽  
Two Dimensional ◽  
Mean Flow ◽  
Jet Formation ◽  
Rotating Sphere ◽  
Angular Momentum Transport ◽  
Flow Generation ◽  
Flow Directions ◽  
Decaying Turbulence

Abstract Jet formation in decaying two-dimensional turbulence on a rotating sphere is reviewed from the viewpoint of Rossby waves. A series of calculations are performed to confirm the behavior of zonal mean flow generation on the parameter space of the rotation rate Ω and Froude number Fr. When the flow is nondivergent and Ω is large, intense easterly circumpolar jets tend to emerge in addition to the appearance of a banded structure of zonal mean flows with alternating flow directions. When the system allows surface elevation, circumpolar jets disappear and an equatorial easterly jet emerges with increasing Fr. The appearance of the intense easterly jets can be understood by the angular-momentum transport associated with the generation, propagation, and absorption of Rossby waves. When the flow is nondivergent, long Rossby waves tend to be absorbed near the poles. In contrast, when Fr is large, Rossby waves can hardly propagate poleward and tend to be absorbed near the equator.

Pattern Formation in Two-Dimensional Turbulence on a Rotating Sphere

2003 ◽  
pp. 317-326
Author(s):  
Shigeo Yoden ◽  
Keiichi Ishioka ◽  
Michio Yamada ◽  
Yoshi-Yuki Hayashi
Keyword(s):  
Pattern Formation ◽  
Two Dimensional ◽  
Rotating Sphere
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