An extremely efficient boundary element method for wave interaction with long cylindrical structures based on free-surface Green's function

Yingyi Liu, Ying Gou, Bin Teng, Shigeo Yoshida

研究成果: ジャーナルへの寄稿記事

2 引用 (Scopus)

抄録

The present study aims to develop an efficient numerical method for computing the diffraction and radiation of water waves with horizontal long cylindrical structures, such as floating breakwaters in the coastal region, etc. A higher-order scheme is used to discretize geometry of the structure as well as the physical wave potentials. As the kernel of this method, Wehausen's free-surface Green function is calculated by a newly-developed Gauss-Kronrod adaptive quadrature algorithm after elimination of its Cauchy-type singularities. To improve its computation efficiency, an analytical solution is derived for a fast evaluation of the Green function that needs to be implemented thousands of times. In addition, the OpenMP parallelization technique is applied to the formation of the influence coefficient matrix, significantly reducing the running CPU time. Computations are performed on wave-exciting forces and hydrodynamic coefficients for the long cylindrical structures, either floating or submerged. Comparison with other numerical and analytical methods demonstrates a good performance of the present method.

元の言語英語
記事番号36
ジャーナルComputation
4
発行部数3
DOI
出版物ステータス出版済み - 9 16 2016

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Wave Interaction
Boundary element method
Green's function
Free Surface
Boundary Elements
Floating breakwaters
Water waves
Numerical Methods
Adaptive Quadrature
Program processors
Gauss Quadrature
Numerical methods
High-order Schemes
Hydrodynamics
Diffraction
OpenMP
Water Waves
Coefficient
CPU Time
Radiation

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Computer Science(all)
  • Modelling and Simulation
  • Applied Mathematics

これを引用

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