Abstract

Flow pattern of two-dimensional decaying incompressible turbulence is studied numerically on a rotating hemisphere with the rigid/stress-free boundary at the equator. A stereographic projection of the hemisphere to a plane disk, followed by Fourier–Chebyshev expansion method, is employed for the numerical calculation. It is observed that an eastward flow is formed in the rigid-boundary case, while a westward flow in the stress-free-boundary case, from randomized initial conditions.

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