NONLOCAL NATURE OF VORTEX STRETCHING IN AN INVISCID FLUID

被引:70
作者
OHKITANI, K
KISHIBA, S
机构
[1] KYOTO UNIV,MATH SCI RES INST,KYOTO 60601,JAPAN
[2] KYOTO UNIV,FAC SCI,DEPT PHYS,KYOTO 60601,JAPAN
关键词
D O I
10.1063/1.868638
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
Three-dimensional Euler equations are studied numerically and analytically to characterize intense vortex stretching in an inviscid fluid. Emphasis is put on the nonlocal effects stemming from the pressure term. The purpose of this paper is twofold. One is to give numerically a detailed characterization of vortex structures on the basis of previously proposed two eigenvalue problems associated with vorticity. The other is to give some mathematical analyses which highlight the role of the pressure Hessian in vortex dynamics, especially in connection with a possible singularity. Also discussed are the differences in local and global (possible) blowups. The blowup problem is not directly discussed by the present numerics at moderate resolution. © 1995 American Institute of Physics.
引用
收藏
页码:411 / 421
页数:11
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