Numerical Simulation of a Weakly Nonlinear Model For Internal Waves
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| Title: | Numerical Simulation of a Weakly Nonlinear Model For Internal Waves |
| Author(s): | Gregory, Roberta C. |
| Advisor(s): | Nicholls, David |
| Contributor(s): | Cheskidov, Alexey; Knessl, Charles; Verschelde, Jan; Royston, Thomas |
| Department / Program: | Department of Mathematics, Statistics, and Computer Science |
| Graduate Major: | Mathematics |
| Degree Granting Institution: | University of Illinois at Chicago |
| Degree: | PhD, Doctor of Philosophy |
| Genre: | Doctoral |
| Subject(s): |
internal waves
water waves weakly nonlinear model spectral method operator expansions |
| Abstract: | Internal waves arise in a wide array of oceanographic problems of both theoretical and engineering interest. In this contribution we present a new model, valid in the weakly nonlinear regime, for the propagation of disturbances along the interface between two ideal fluid layers of infinite extent and different densities. Additionally we present a novel high-order/spectral algorithm for its accurate and stable simulation. Numerical validation results and simulations of wave-packet evolution are provided. |
| Issue Date: | 2012-12-10 |
| Genre: | thesis |
| URI: | http://hdl.handle.net/10027/9112 |
| Rights Information: |
Copyright 2012 Roberta C. Gregory |
| Date Available in INDIGO: | 2012-12-10 |
| Date Deposited: | 2012-05 |
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