NUMERICAL STUDY OF HYDRODYNAMICS USING THE NONLINEAR SCHRODINGER-EQUATION

被引：64
|
作者：
NORE, C [1 ]
BRACHET, ME [1 ]
FAUVE, S [1 ]
机构：
[1] ENS LYON,PHYS LAB,CNRS,URA 1325,F-69364 LYON 07,FRANCE
来源：
PHYSICA D | 1993年 / 65卷 / 1-2期
关键词：
D O I：
10.1016/0167-2789(93)90011-O
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The hydrodynamical behavior of the nonlinear Schrodinger equation is investigated by Fourier pseudo-spectral direct numerical simulations. Its dispersive and nonlinear acoustics are characterized quantitatively and an equation that describes this regime at leading order is derived. A technique that allows the preparation of periodic initial data containing an arbitrary system of point vortices with minimal acoustic excitations is given. The Eulerian dynamics of a jet made of an array of counter rotating vortices is obtained. Sinuous and varicose instabilities are shown to take place. Finally the numerical methods best suited to study vortex-sound interactions are discussed.
引用
收藏
页码：154 / 162
页数：9
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