Laboratory simulation of Jupiter's great red spot by rotating shallow water

Astronomy and Astrophysics – Astronomy

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Jupiter'S Great Red Spot, Rotating Shallow Water, Coherent Structure, Shear, Coriolis Force, Jupiter'S Great Red Spot, Rotating Shallow Water, Coherent Structure, Shear, Coriolis Force

Scientific paper

A series of repeatable simulation tests was carried out on the experimental system for forming a layer of shallow water with a free surface on a rotating paraboloid. The photographs taken in a reference frame rotating with the system and the results of the power spectrum analyses show the generation , drift and evolution of persistent vortices on the large scale. Under the certain condition , an anticyclonic solitary vortex is produced, that is the only one along the whole perimeter of the system, stationary-drifting during an infinitely-long time, counter-directed to the general rotation of the system. This structure is interpreted as the Rossby solitary vortex and as a laboratory model of Jupiter's Great Red Spot. The experimental results demonstrate that hydrodynamic instabilities come from shear and Coriolis force effects, and the long-lived coherent vortex structure on the large scale emerges because of the self-organization of dissipation system far from the equilibrium state. Being inspired by many experiments , under the certain condition, a semi-empirical model from the fundamental equation of hydrodynamics was put forward. The solution to Rossby solitary vortex was interpreted approximately.

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