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A SIMULATION OF PARTICLE DYNAMICS IN A TWO DIMENSIONAL
FLUID BODY UNDER THE INFLUENCE OF STANDING GRAVITY WAVES
by
Wess Gates
A Thesis Presented to the
FACULTY OF THE USC VITERBI SCHOOL OF ENGINEERING
UNIVERSITY OF SOUTHERN CALIFORNIA
In Partial Fulfillment of the
Requirements for the Degree
MASTER OF SCIENCE
(AEROSPACE ENGINEERING)
December 2007
Copyright 2007 Wess Gates
Object Description
| Title | A simulation of particle dynamics in a two dimensional fluid body under the influence of standing gravity waves |
| Author | Gates, Wess |
| Author email | zirogravity@msn.com |
| Degree | Master of Science |
| Document type | Thesis |
| Degree program | Aerospace & Mechanical Engineering (Computational Fluid & Solid Mechanics) |
| School | Viterbi School of Engineering |
| Date defended/completed | 2007-10-11 |
| Date submitted | 2007 |
| Restricted until | Unrestricted |
| Date published | 2007-11-28 |
| Advisor (committee chair) | Newton, Paul K. |
| Advisor (committee member) |
Redekopp, Larry G. Pottebaum, Tait Sherman |
| Abstract | An overview of the equations governing surface gravity waves in linear water wave theory is presented. These equations are used to derive an expression for the stream function for standing gravity waves in a two dimensional water body of uniform depth H. Derivatives of the stream function yield a system of coupled ordinary differential equations describing the particle velocities tangent to the stream function everywhere inside the water body boundaries.; Matlab and Simulink are used to numerically integrate the velocity equations for particle position within the boundary. The solutions presented describe the motion of a single particle for varying initial conditions within the boundary. The simulation is extended to test a two mode superposition for the system of equations, for the same set of boundary conditions, in an effort to understand the system behavior for various modes of standing gravity waves. |
| Keyword | standing gravity waves; two dimensional fluid body |
| 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 |
| Type | texts |
| Legacy record ID | usctheses-m946 |
| Contributing entity | University of Southern California |
| Rights | Gates, Wess |
| Repository name | Libraries, University of Southern California |
| Repository address | Los Angeles, California |
| Repository email | cisadmin@lib.usc.edu |
| Filename | etd-Gates-20071128 |
| Archival file | uscthesesreloadpub_Volume29/etd-Gates-20071128.pdf |
Description
| Title | Page 1 |
| Contributing entity | University of Southern California |
| Repository email | cisadmin@lib.usc.edu |
| Full text | A SIMULATION OF PARTICLE DYNAMICS IN A TWO DIMENSIONAL FLUID BODY UNDER THE INFLUENCE OF STANDING GRAVITY WAVES by Wess Gates A Thesis Presented to the FACULTY OF THE USC VITERBI SCHOOL OF ENGINEERING UNIVERSITY OF SOUTHERN CALIFORNIA In Partial Fulfillment of the Requirements for the Degree MASTER OF SCIENCE (AEROSPACE ENGINEERING) December 2007 Copyright 2007 Wess Gates |
