NUMERICAL STUDY OF HYDRODYNAMICS USING THE NONLINEAR SCHRODINGER-EQUATION

被引：66

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

页码：154 / 162

页数：9

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