楕円渦の不安定モードの弱非線形発展と2次不安定性(流体数理(1),一般講演)

概要

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It is known that the elliptical instability for a rotating flow in a elliptical cylinder is caused by parametric resonance between two Kelvin waves, three-dimentional distuebances to this two-dimentional steady rotating flow. We confine ourselves to a pair of Kelvin waves with azimuthal wavenumbers (m,m+2)=(0,2). We develop the Lagrangian approach to calculate the drift current induced by nonlinear interaction of Kelvin waves and thereby obtain a set of ordinally differntial equation describing weakly nonlinear evolution of disturbance amplitude. This procedure rescues insufficiency in the previous Eulerian treatment [Sipp(2000)]. These equations necessarily result in saturation of disturbance amplitude. We explore the secondary instability to account for Malkus' experiment (1989).
日本流体力学会の論文
2010-09-09