Forcing of Differential Rotation and Rossby Waves at the Interface between the Convectively Stable and Unstable Layers

Details Forcing of Differential Rotation and Rossby Waves at the Interface between the Convectively Stable and Unstable Layers Forcing of Differential Rotation and Rossby Waves at the Interface between the Convectively Stable and Unstable Layers

May 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998apj...499..905t&link_type=abstract

Astrophysical Journal v.499, p.905

Astronomy and Astrophysics

Astronomy

4

Convection, Hydrodynamics, Instabilities, Methods: Numerical, Sun: Interior, Sun: Rotation, Waves

Scientific paper

A model for the high-latitude region near the interface between the solar convection and radiative zones is suggested. The essential feature of the model is an allowance for the deformation of the interface between the convectively stable and unstable parts of the layer, which appears to be due to the influence of large-scale flows on this region's conditions. Two-dimensional numerical simulations for an axisymmetric flow show that one of the consequences of the interface deformation is the appearance of a latitudinal gradient in the temperature distribution, which gives rise to a strong radial gradient of the angular velocity in the vicinity of the interface. Such a differential rotation is, in fact, the thermal wind like that in the Earth's atmosphere. It is found that the penetration of the differential rotation and meridional flow into a convectively stable part of the layer depends strongly on values of the effective turbulent viscosity and thermal conductivity in this region. Two-dimensional numerical simulations of axisymmetric and nonaxisymmetric flows show that another consequence of the deformation of the interface is the forcing of differential rotation and the Rossby wave. It is found that the pumping mechanism is similar to the deformational long-wave instability mechanism that operates in a rotating fluid layer heated from below with the deformable upper stress-free surface. Nonlinear effects lead to the limitation of the differential rotation and Rossby wave amplitude and to the establishment of stationary patterns. Stationary differential rotation is in qualitative agreement with recent results obtained by helioseismology.

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