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GENERATION AND DEGENERATION OF LONG INTERNAL WAVES IN LAKES
by
Takahiro Sakai
A Dissertation Presented to the
FACULTY OF THE GRADUATE SCHOOL
UNIVERSITY OF SOUTHERN CALIFORNIA
In Partial Ful¯llment of the
Requirements for the Degree
DOCTOR OF PHILOSOPHY
(AEROSPACE ENGINEERING)
December 2008
Copyright 2008 Takahiro Sakai
Object Description
| Title | Generation and degeneration of long internal waves in lakes |
| Author | Sakai, Takahiro |
| Author email | tsakai@usc.edu; taksakai@hotmail.com |
| Degree | Doctor of Philosophy |
| Document type | Dissertation |
| Degree program | Aerospace Engineering |
| School | Viterbi School of Engineering |
| Date defended/completed | 2008-10-20 |
| Date submitted | 2008 |
| Restricted until | Unrestricted |
| Date published | 2008-12-01 |
| Advisor (committee chair) | Redekopp, Larry G. |
| Advisor (committee member) |
Domaradzki, Julian A. Maxworthy, Tony Ziane, Mohammed Hammond, Douglas E. |
| Abstract | The nonlinear evolution, generation and degeneration of wind-driven, basin-scale internal waves in lakes are investigated employing weakly-nonlinear, weakly-dispersive evolution models. The models studied are based on rational, asymptotic approximations of the hydrodynamic equations of motion, and include a two-layer model, a multi-modal model, and a large-lake model with the effect of earth's rotation. It is found that nonlinearity, in conjunction with the dispersive nature of the fluid medium, plays a principle role in (i) the early stage of degeneration of basin-scale waves through nonlinear steepening and subsequent generation of oscillatory waves; and (ii) the transfer of energy among multiple vertical modes in the internal field. Strong dependence of these nonlinear processes on the background stratification, the lake geometry, the horizontal extent of a lake, and the spatio-temporal wind stress function are demonstrated and quantified through a series of numerical simulations of the different models. |
| Keyword | internal waves; lake hydrodynamics; weakly nonlinear model; non-hydrostatic model; nonlinear waves; Kelvin wave; Poincare wave; earth rotation; multi-modal model; two-layer model; numerical simulation |
| Language | English |
| Part of collection | University of Southern California dissertations and theses |
| Publisher (of the original version) | University of Southern California |
| Place of publication (of the original version) | Los Angeles, California |
| Publisher (of the digital version) | University of Southern California. Libraries |
| Provenance | Electronically uploaded by the author |
| Type | texts |
| Legacy record ID | usctheses-m1843 |
| Contributing entity | University of Southern California |
| Rights | Sakai, Takahiro |
| Repository name | Libraries, University of Southern California |
| Repository address | Los Angeles, California |
| Repository email | cisadmin@lib.usc.edu |
| Filename | etd-Sakai-2524 |
| Archival file | uscthesesreloadpub_Volume29/etd-Sakai-2524.pdf |
Description
| Title | Page 1 |
| Contributing entity | University of Southern California |
| Repository email | cisadmin@lib.usc.edu |
| Full text | GENERATION AND DEGENERATION OF LONG INTERNAL WAVES IN LAKES by Takahiro Sakai A Dissertation Presented to the FACULTY OF THE GRADUATE SCHOOL UNIVERSITY OF SOUTHERN CALIFORNIA In Partial Ful¯llment of the Requirements for the Degree DOCTOR OF PHILOSOPHY (AEROSPACE ENGINEERING) December 2008 Copyright 2008 Takahiro Sakai |
