ON TIME-DEPENDENT, 2-LAYER FLOW OVER TOPOGRAPHY .2. EVOLUTION AND PROPAGATION OF SOLITARY WAVES

被引:3
作者
SANDSTROM, H
QUON, C
机构
关键词
D O I
10.1016/0169-5983(94)90049-3
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
The evolution of topographically generated interfacial motion is considered in a two-layer model. A system of two non-linear equations, similar to the Boussinesq equations for shallow water waves, is derived. The consequences of the cubic non-linearity of these equations on the nature of the solitary wave solutions are explored. A dispersion relation for solitary waves implies the existence of maxima for speed and displacement in a wave. The limiting values are shown to agree with other studies. The growth of solitary and/or cnoidal waves is studied for finite pulses of displacement and for internal bores.
引用
收藏
页码:197 / 215
页数:19
相关论文
共 15 条
[1]  
Baines, A unified description of two-layer flow over topography, J. Fluid Mech., 146, pp. 127-167, (1984)
[2]  
Chu, Xiang, Baransky, Solitary waves induced by boundary motion, Communications on Pure and Applied Mathematics, 36, pp. 495-504, (1983)
[3]  
Fornberg, Whitham, A numerical and theoretical study of certain nonlinear wave phenomena, Phil. Trans. R. Soc. London A, 289, pp. 373-404, (1978)
[4]  
Gear, Grimshaw, A second order theory for solitary waves in shallow fluids, Phys. Fluid, 26, pp. 14-29, (1983)
[5]  
Grimshaw, Smyth, Resonant flow of a stratified fluid over topography, J. Fluid Mech., 169, pp. 429-464, (1986)
[6]  
Kakutani, Yamasaki, Solitary waves on a two-layer fluid, J. Phys. Soc. Japan, 45, pp. 674-679, (1978)
[7]  
Koop, Butler, An investigation of internal solitary waves in a two-fluid system, J. Fluid Mech., 112, pp. 225-251, (1981)
[8]  
Melville, Helfrich, Transcritical two-layer flow over topography, J. Fluid Mech., 178, pp. 31-52, (1987)
[9]  
Miles, On internal solitary waves, Tellus, 31, pp. 456-462, (1979)
[10]  
Mirie, Pennell, Internal solitary waves in a two-fluid system, Phys. Fluids A, 1, 6, pp. 986-991, (1989)