Numerical Calculations of One-Dimensional Wave Fields Using Boussinesq Equations
碩士 === 國立臺灣大學 === 造船及海洋工程學研究所 === 90 === The purpose of this research is to develop a numerical model based on Boussinesq equations that can predict the wave transformation. By [2,2] Padé approximation, different velocity parameter Boussinesq equations are derived. The effects of different Boussines...
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| Format: | Others |
| Language: | zh-TW |
| Published: |
2001
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| Online Access: | http://ndltd.ncl.edu.tw/handle/29085108703215105427 |
| Summary: | 碩士 === 國立臺灣大學 === 造船及海洋工程學研究所 === 90 === The purpose of this research is to develop a numerical model based on Boussinesq equations that can predict the wave transformation. By [2,2] Padé approximation, different velocity parameter Boussinesq equations are derived. The effects of different Boussinesq type equations on linear dispersion relations, group velocity and shoaling gradients were discussed. The limitation of on the applications of Boussinesq equations can be extended to 0.5 under suitable choice of the velocity parameter with the requirement of the difference of the phase velocities from calculation and from linear dispersion relation less than 5﹪. The fourth-order Adams-Bashforth-Moulton predictor-corrector scheme with proper absorbing boundary conditions was imposed as the basic numerical scheme. Finally, numerical results were verified with past experimental and theoretical results.
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