1. Meshless Final Project -Calculation of Floating Island
Chi-Yao Hung

2. Motivation
Floating Island (Han River in Seoul)

3. Motivation-Experiment

4. Mathematical Derivation -Governing Equation
Assume
Start from Wave Equation
Separate parameters
Take into
Governing Equation

5. Case I The solution of Helmholtz equation Consider as cylinder pillar
Boundary Condition

6. Case I – Examination (I)
[Chiang Mei, MIT, 2006]

7. Case I – Examination (II)

8. Case II Consider as a floating board but fixed
 Add the governing equation under the board.
In this case
For the Fundamental solution
Boundary Condition

9. Case II - Examination
According to J.J. Stoker

10. Case III Consider as the floating board moving with forced.
Governing Equation under board will change.
Boundary condition

11. Case III-Result

12. Case IV Consider as the floating board moving freely.
New Governing Equation added
Bernoulli equation unsteady form

13. Case IV Add the condition of force balance
Can be solved by adding three condition equation

14. Case IV-Result

15. Conclusion Future Work
Successfully using MFS and couple the force balance condition
to solve the problem
2. Combine the particular solution in to solution.
Future Work
To examine the solution in more compact way
Applied on our experiment
3. Promote the board case to the “box” cases

16. Thanks for you attention!