1. BEM Final reportPP.1 Wave-induced oscillations in harbors of arbitrary Reporter: Chine-Feng Wu Advisor: Jeng-Tzong Chen Date: Jan. 07, 2010 Jiin-Jen Lee J. Fluid. Mech., vol. 45, no. 2, pp. 375-394

2. Jan. 7, 2010BEM Final reportPP.2 Engineering problems California: Santa Catalina Island

3. Jan. 7, 2010BEM Final reportPP.3 Water wave Governing equation: Separation variable : where Seabed boundary conditions : Velocity potential :

4. Jan. 7, 2010BEM Final reportPP.4 Continuity condition ：

5. Jan. 7, 2010BEM Final reportPP.5 Formulation Weber’s solution ： Modified Weber’s solution ： rearrange T uU t discrete form obtain Wave function inside the Harbor (Region II)

6. Jan. 7, 2010BEM Final reportPP.6 Can be expressed as a function of the unknown normal derivative of f 2 at the harbor entrance

7. Jan. 7, 2010BEM Final reportPP.7 Wave function inside the Harbor (Region I)

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9. Jan. 7, 2010BEM Final reportPP.9 Numerical examples Circular harbor with a 10 o and a 60 o opening Rectangular harbor An example of a harbor with complicated shape

10. Jan. 7, 2010BEM Final reportPP.10 Circular harbor with a 10 o opening

11. Jan. 7, 2010BEM Final reportPP.11 Circular harbor with a 60 o opening

12. Jan. 7, 2010BEM Final reportPP.12 Rectangular harbor

13. Jan. 7, 2010BEM Final reportPP.13 Complicated shape

14. BEM Final reportPP.14 Thanks for your kind attentions You can get more information from our website. http://msvlab.hre.ntou.edu.tw/

15. Jan. 7, 2010BEM Final reportPP.15

16. Jan. 7, 2010BEM Final reportPP.16