Accession Number : ADA321184
Title : On Three-Dimensional Long Interfacial Wave Propagation Near the Critical Depth Level.
Descriptive Note : Technical rept.,
Corporate Author : DELAWARE UNIV NEWARK CENTER FOR APPLIED COASTAL RESEARCH
Personal Author(s) : Chen, Yongze ; Liu, Philip L.
PDF Url : ADA321184
Report Date : NOV 1996
Pagination or Media Count : 43
Abstract : In this paper, the propagation of interfacial waves near the critical depth level in a two-layered fluid system is investigated. We first derive an evolution equation for weakly nonlinear and dispersive interfacial waves propagating predominantly in the longitudinal direction of a slowly rotating channel with gradually varying topography and sidewalls. The new evolution equation includes both quadratic and cubic nonlinearities. For interfacial waves propagating in certain type of non-rotating channels with varying topography, we find two families of periodic solutions, expressed in terms of the snoidal function, to the variable coefficient equation. As the limiting cases of these periodic-wave solutions, a family of solitary-wave solutions and an isolated shock-like wave solution are also obtained. In a uniform rotating channel, our small-time asymptotic analysis and numerical study show that depending on the relative importance of the cubic nonlinearity to quadratic nonlinearity, the wavefront of a Kelvin solitary wave will curve either forwards or backwards, trailed by a small train of Poincare' waves. When these two nonlinearities almost balance each other, the wavefront becomes almost / straight-crested across the channel, and the trailing Poincare waves diminish.
Descriptors : *MATHEMATICAL MODELS, *OCEAN WAVES, OCEAN CURRENTS, SHOCK WAVES, NONLINEAR DIFFERENTIAL EQUATIONS, PARTIAL DIFFERENTIAL EQUATIONS, QUADRATIC EQUATIONS, SOLITONS, PERIODIC FUNCTIONS, NONLINEAR PROPAGATION ANALYSIS.
Subject Categories : Physical and Dynamic Oceanography
Distribution Statement : APPROVED FOR PUBLIC RELEASE