Motion of an Interface between Two Uniform-Vorticity Regions in Two-Dimensional Inviscid Fluids
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概要
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Motion of an interface is considered between two infinite layers of uniform vortic-ity in two-dimensional flow of inviscid fluid. The vorticity junnps at the interface butthe velocity is continuous to inhibit the Kelvin-Helmholtz instability. The dynamicsof the interface is described with an extention of Birkhoff equ;ttion for an irrotationalperturbation. Fully nonlinear behaviors are studied by numerical simulations basedon the point-vortex method. For large enough disturbances, "filaments" are formedas in the case of Contour Dynamics of finte vorticity regions. The curvature grows ap-poximately exponentially with respect to time and the well-pc>sedness of the problemis suggested.[Birkhoff equation, Contour Dynamics, interface, Kelvin-Ffelmholtz instability, ll point-vortex method, singularity, uniform vorticityl
- 社団法人日本物理学会の論文
- 1989-01-15
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