Numerical simulations of internal solitary waves with vortex cores

被引：12

作者：

Aigner, A

Broutman, D

Grimshaw, R ^{[1
]}

机构：

[1] Monash Univ, Dept Math, Clayton, Vic 3168, Australia

[2] Univ New S Wales, Sch Math, Sydney, NSW 2052, Australia

来源：

FLUID DYNAMICS RESEARCH | 1999年 / 25卷 / 06期

关键词：

D O I：

10.1016/S0169-5983(98)00046-X

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

This paper deals with the numerical verification of the theory developed by Derzho and Grimshaw (DG) (1997, Phys. Fluids 9(11), 3378-3385) regarding solitary waves in stratified fluids with recirculation regions. The Boussinesq approximation is made and the stratification is chosen such that the Brunt-Vaisala frequency differs only slightly from uniform stratification. To establish the consistency of the numerical scheme the usual KdV and mKdV solutions are tested first and then the solutions obtained by DG are considered. It is found that these waves remain of permanent form and are stationary when viewed at their corresponding phase speed. The recirculation region remains stagnant to first order as predicted by DG. (C) 1999 The Japan Society of Fluid Mechanics and Elsevier Science B.V. All rights reserved.

引用

页码：315 / 333

页数：19

共 16 条

[1]

BENNEY DJ, 1978, STUD APPL MATH, V59, P187

[2] Solitary waves with a vortex core in a shallow layer of stratified fluid [J].