Isaac Newton Institute for Mathematical Sciences

Axisymmetric Steady Solutions in an Idealized Model of Atmospheric General Circulations: Hadley Circulation and Super-rotation

Authors: Hiroki YAMAMOTO (Department of Geophysics, Kyoto University), Keiichi ISHIOKA (Department of Geophysics, Kyoto University), Shigeo YODEN (Department of Geophysics, Kyoto University)

Abstract

Fundamental dynamics of two-dimensional atmospheric general circulations symmetric about the rotation axis of planets is investigated to obtain a wide perspective from the Held and Hou model of the Hadley circulation to the Venus super-rotation driven by the Gierasch mechanism. A parameter sweep experiment is performed to explore steady solutions of the axisymmetric primitive equations of the Boussinesq &#64258;uid on a rotating sphere. Sweep parameters are the external thermal Rossby number (R_T), the horizontal Ekman number (E_H), and the vertical Ekman number (E_V). Two indices are introduced to make a dynamical analysis of the numerically obtained circulations: a measure of the intensity of super-rotation and a measure of rigid rotation. The characteristics of steady solutions change largely in a certain range of EH for given RT and EV. Approximate positions of this transition can be estimated theoretically as E_H ~ E_V*R_T for R_T < 1 or E_H ~ E_V*R_T^(1/2) for R_T > 1. We will discuss the comparison between behavior of this 2D model and that of 3D model, focusing the effect of asymmetric large eddies on zonally averaged meridional circulation.

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