回転球殻ブシネスク熱対流の安定性と分岐構造について(対流(1),一般講演)

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  • Stability and Bifurcation Diagram of Boussinesq Thermal Convection in a Moderately Rotating Spherical Shell

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Finite-amplitude solutions of Boussinesq thermal convection in a moderately rotating spherical shell are obtained by use of the Newton method, and their linear stability is examined numerically. The ratio of the inner and outer radii of the shell and the Prandtl number are fixed to 0.4 and 1 respectively, while the Taylor number is varied from 52^2 to 500^2 and the Rayleigh number is from about 1500 to 10000. In this range of the Taylor number, the stable finite-amplitude solutions, which have four-fold symmetry in the azimuthal direction, bifurcate supercritically at the critical points, and become unstable when the Rayleigh number is increased up to about 1.2 to 2 times the critical values. When the Taylor number is larger than 340^2, propagating direction of the solutions changes from prograde to retrograde continuously as the Rayleigh number is increased. The associated transition of the convective structure is also continuous.

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