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Simulation of Water Wave Transformation Using Higher Order Mild-Slope Equation

[+] Author Affiliations
Tai-Wen Hsu, Ta-Yuan Lin, Kuan-Yu Hsiao, Shiao-Yin Chen

National Cheng Kung University, Tainan, Taiwan

Paper No. OMAE2009-80227, pp. 745-750; 6 pages
  • ASME 2009 28th International Conference on Ocean, Offshore and Arctic Engineering
  • Volume 4: Ocean Engineering; Ocean Renewable Energy; Ocean Space Utilization, Parts A and B
  • Honolulu, Hawaii, USA, May 31–June 5, 2009
  • Conference Sponsors: Ocean, Offshore and Arctic Engineering Division
  • ISBN: 978-0-7918-4344-4 | eISBN: 978-0-7918-3844-0
  • Copyright © 2009 by ASME


A higher-order mild-slope equation (HOMSE) was developed using classical Galerkin method in which the depth function is expanded to the third-order. Wave nonlinearity and bottom slope parameters are involved in the depth function solved on the bases of the multiple-scale perturbation method. The equation is solved subject to the radiation boundary conditions by means of the procedure of parabolic formulation. Good agreement between numerical results and experimental data has been observed for wave propagation over a submerged obstacle and a sloping beach.

Copyright © 2009 by ASME



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