AM06-13-015 二層ダブルジャイヤー海洋における非線形エネルギー収支モデル(大気・海洋・惑星の流れ(3),一般講演)

概要

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A nonlinear energy balance model was derived and its solution exhibited the essential features of dynamical structure in a two-layer double gyre ocean. This model constitutes nonlinear ordinary differential equations that are composed of three dependent variables, the upper-layer kinetic energy, the lower-layer kinetic energy, and the available potential energy integrated in the whole box domain. There are three parameters controlling the system, which are the combination of forcing and dissipation effects, energy exchange rate from the kinetic energies to the available potential energy, and the strength of nonlinear interaction between the upper- and lower-kinetic energies. There exist at most four fixed points in the three-dimensional phase spaces and the trajectories behave around them complicatedly. In particular, at some parameter spaces the jumps of the cusp catastrophe occur and those correspond to the blue-sky catastrophe in the vector bifurcation theory.
日本流体力学会の論文
2006-09-05