| Type of Document |
Master's Thesis |
| Author |
Fan, Qi
|
| Author's Email Address |
qfan1@tigers.lsu.edu |
| URN |
etd-11092011-230808 |
| Title |
An Euler Solver for Nonlinear Water Waves Using a Modified Staggered Grid and Gaussian Quadrature Approach |
| Degree |
Master of Science in Engineering Science (M.S.E.S.) |
| Department |
Engineering Science (Interdepartmental Program) |
| Advisory Committee |
| Advisor Name |
Title |
| Chen, Jim Qin |
Committee Chair |
| Huang, Haosheng |
Committee Member |
| Wan, Xiaoliang |
Committee Member |
|
| Keywords |
- finite volume method
- Gauss-Legendre quadrature
- modified staggered grid
- free-surface flow
|
| Date of Defense |
2011-11-10 |
| Availability |
unrestricted |
Abstract
A structured, finite-volume Euler solver for non-hydrostatic, free surface flows is developed to simulate coastal nonlinear dispersive water waves. A semi-implicit projection method which splits the pressure term into hydrostatic and non-hydrostatic parts is employed. A vertically shifted, staggered grid is designed to accommodate a new Gaussian discharge calculator and to facilitate the enforcement of a non-hydrostatic free-surface boundary condition. The Gaussian discharge calculator on the shifted grid increases the dispersion accuracy compared to traditional approaches that calculate discharges on a regular staggered grid. Numerical results are presented to demonstrate the improvements of these methods.
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| Files |
| Filename |
Size |
Approximate Download Time
(Hours:Minutes:Seconds)
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| 28.8 Modem |
56K Modem |
ISDN (64 Kb) |
ISDN (128 Kb) |
Higher-speed Access |
| |
QiFan_MasterThesis.pdf |
488.53 Kb |
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