F224 絡み合い方程式の高次近似解

概要

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Biot-Savart equation and the local induction equation is a major method for analyzing the dynamics of vortex filament (s). Takaki and Hussain was proposed an entanglement equation which is local induction approximation of the Biot-Savart equation about dynamics of co-rotating vortex pair. This equation has the solution of helical pairing which is three dimensional coherent structure in turbulent flow observed by C. Chandrusuda at el. This solution indicates global entanglement of two vortex filament. In 1999,we derived K-dV equation from an entanglement equation by using reductive perturbation method and this analysis proved that local entanglement of two vortex filaments propagate stable. In this study, we derive a higher order approximation of K-dV equation from an entanglement equation and some remarks and conclusion will be mentioned in presentation.
日本流体力学会の論文
2001-07-31