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Internal waves on a continental shelf
- Date Issued:
- 2012
- Summary:
- In this thesis, a 2D CHebyshev spectral domain decomposition method is developed for simulating the generation and propagation of internal waves over a topography. While the problem of stratified flow over topography is by no means a new one, many aspects of internal wave generation and breaking are still poorly understood. This thesis aims to reproduce certain observed features of internal waves by using a Chebyshev collation method in both spatial directions. The numerical model solves the inviscid, incomprehensible, fully non-linear, non-hydrostatic Boussinesq equations in the vorticity-streamfunction formulation. A number of important features of internal waves over topography are captured with the present model, including the onset of wave-breaking at sub-critical Froude numbers, up to the point of overturning of the pycnoclines. Density contours and wave spectra are presented for different combinations of Froude numbers, stratifications and topographic slope.
Title: | Internal waves on a continental shelf. |
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Name(s): |
Jagannathan, Arjun. College of Engineering and Computer Science Department of Ocean and Mechanical Engineering |
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Type of Resource: | text | |
Genre: | Electronic Thesis Or Dissertation | |
Date Issued: | 2012 | |
Publisher: | Florida Atlantic University | |
Physical Form: | electronic | |
Extent: | xii, 113 p. : ill. (some col.) | |
Language(s): | English | |
Summary: | In this thesis, a 2D CHebyshev spectral domain decomposition method is developed for simulating the generation and propagation of internal waves over a topography. While the problem of stratified flow over topography is by no means a new one, many aspects of internal wave generation and breaking are still poorly understood. This thesis aims to reproduce certain observed features of internal waves by using a Chebyshev collation method in both spatial directions. The numerical model solves the inviscid, incomprehensible, fully non-linear, non-hydrostatic Boussinesq equations in the vorticity-streamfunction formulation. A number of important features of internal waves over topography are captured with the present model, including the onset of wave-breaking at sub-critical Froude numbers, up to the point of overturning of the pycnoclines. Density contours and wave spectra are presented for different combinations of Froude numbers, stratifications and topographic slope. | |
Identifier: | 829393131 (oclc), 3358549 (digitool), FADT3358549 (IID), fau:4019 (fedora) | |
Note(s): |
by Arjun Jagannathan. Thesis (M.S.C.S.)--Florida Atlantic University, 2012. Includes bibliography. Mode of access: World Wide Web. System requirements: Adobe Reader. |
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Subject(s): |
Engineering geology -- Mathematical models Chebyshev polynomials Fluid dynamics Continuum mechanics Spectral theory (Mathematics) |
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Persistent Link to This Record: | http://purl.flvc.org/FAU/3358549 | |
Use and Reproduction: | http://rightsstatements.org/vocab/InC/1.0/ | |
Host Institution: | FAU |