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Wave propagation through arrays of unevenly spaced vertical piles

Wave propagation through arrays of unevenly spaced vertical piles. Reporter : Yi-Jhou Lin. National Taiwan Ocean University Department of Harbor and River Engineering. Adviser ： Jeng-Tzong Chen. Date: February 06, 2009. Place: HR2 307. Outlines. Problem statement Numerical examples

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Wave propagation through arrays of unevenly spaced vertical piles

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  1. Wave propagation through arrays of unevenly spaced vertical piles Reporter : Yi-Jhou Lin National Taiwan Ocean University Department of Harbor and River Engineering Adviser： Jeng-Tzong Chen Date: February 06, 2009 Place: HR2 307

  2. Outlines • Problem statement • Numerical examples • Concluding remarks

  3. Original Problem Problem statement Governing equation: Separation variable : where Seabed boundary conditions : Free-surface conditions : where

  4. Original Problem Decompose two parts ＝ ＋ Free field Radiation field(typical BVP)

  5. Original problem Decompose two parts Free field Radiation field Expansion Degenerate kemel For fundamental solution Fourier series of boundary densities Collocate of the real boundary Linear algebraic system Calculation of the unknown Fourier BIE for the domain point Superposing the solution of two parts Total field Flowchart

  6. Original Problem Numerical examples

  7. Near-traped mode (Duclos and Clement, 2004)

  8. Near-traped mode (Present, 2009)

  9. Perturbation parameter

  10. Perturbation parameter No trapped mode is found

  11. Horizontal force versus wave number

  12. Concluding remarks • A general-purpose program for solving the water wave problems with arbitrary number, size and various locations of circular cylinders was developed. • We have proposed a BIEM formulation by using degenerate kernels, null-field integral equation and Fourier series in companion with adaptive observer system. • Near trapped mode is observed in this study.

  13. The end Thanks for your kind attention Welcome to visit the web site of MSVLAB http://ind.ntou.edu.tw/~msvlab

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