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A calculation method for finite depth free-surface green function

  • Liu, Yingyi (Interdisciplinary Graduate School of Engineering Science, Kyushu University) ;
  • Iwashita, Hidetsugu (Falculty of Engineering, Hiroshima University) ;
  • Hu, Changhong (Research Institute for Applied Mechanics, Kyushu University)
  • Published : 2015.03.31

Abstract

An improved boundary element method is presented for numerical analysis of hydrodynamic behavior of marine structures. A new algorithm for numerical solution of the finite depth free-surface Green function in three dimensions is developed based on multiple series representations. The whole range of the key parameter R/h is divided into four regions, within which different representation is used to achieve fast convergence. The well-known epsilon algorithm is also adopted to accelerate the convergence. The critical convergence criteria for each representation are investigated and provided. The proposed method is validated by several well-documented benchmark problems.

Keywords

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