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Models for Strongly-nonlinear Evolution of Long Internal Waves in a Two-layer Stratification : Volume 14, Issue 1 (30/01/2007)

By Sakai, T.

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Book Id: WPLBN0004019830
Format Type: PDF Article :
File Size: Pages 17
Reproduction Date: 2015

Title: Models for Strongly-nonlinear Evolution of Long Internal Waves in a Two-layer Stratification : Volume 14, Issue 1 (30/01/2007)  
Author: Sakai, T.
Volume: Vol. 14, Issue 1
Language: English
Subject: Science, Nonlinear, Processes
Collections: Periodicals: Journal and Magazine Collection (Contemporary), Copernicus GmbH
Publication Date:
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications


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Sakai, T., & Redekopp, L. G. (2007). Models for Strongly-nonlinear Evolution of Long Internal Waves in a Two-layer Stratification : Volume 14, Issue 1 (30/01/2007). Retrieved from

Description: Department of Aerospace & Mechanical Engineering, University of Southern California, Los Angeles, CA 90089-1191, USA. Models describing the evolution of long internal waves are proposed that are based on different polynomial approximations of the exact expression for the phase speed of uni-directional, fully-nonlinear, infinitely-long waves in the two-layer model of a density stratified environment. It is argued that a quartic KdV model, one that employs a cubic polynomial fit of the separately-derived, nonlinear relation for the phase speed, is capable of describing the evolution of strongly-nonlinear waves with a high degree of fidelity. The marginal gains obtained by generating higher-order, weakly-nonlinear extensions to describe strongly-nonlinear evolution are clearly demonstrated, and the limitations of the quite widely-used quadratic-cubic KdV evolution model obtained via a second-order, weakly-nonlinear analysis are assessed. Data are presented allowing a discriminating comparison of evolution characteristics as a function of wave amplitude and environmental parameters for several evolution models.

Models for strongly-nonlinear evolution of long internal waves in a two-layer stratification

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