Effective boundary element method for the interaction of oblique waves with long prismatic structures in water of finite depth

An effective boundary element method (BEM) is presented for the interaction between oblique waves and long prismatic structures in water of finite depth. The Green's function used here is the basic Green's function that does not satisfy any boundary condition. Therefore, the discretized elements for the computation must be placed on all the boundaries. To improve the computational efficiency and accuracy, a modified method for treatment of the open boundary conditions and a direct analytical approach for the singularity integrals in the boundary integral equation are adopted. The present BEM method is applied to the calculation of hydrodynamic coefficients and wave exciting forces for long horizontal rectangular and circular structures. The performance of the present method is demonstrated by comparisons of results with those generated by other analytical and numerical methods.

[1]  M. Papalexandris,et al.  A boundary integral equation method for oblique water-wave scattering by cylinders governed by the modified Helmholtz equation , 2002 .

[2]  Masataka Tanaka,et al.  Analytical integration of weakly singular integrals in boundary element analysis of Helmholtz and advection–diffusion equations , 2000 .

[3]  B. N. Mandal,et al.  Oblique wave scattering by submerged thin wall with gap in finite-depth water , 1996 .

[4]  Jeill Oh,et al.  Diffraction of multidirectional random waves by multiple rectangular submarine pits , 2003 .

[5]  Y. Shen,et al.  Wave radiation by a floating rectangular structure in oblique seas , 2006 .

[6]  A. G. Abul-Azm,et al.  Oblique wave diffraction by segmented offshore breakwaters , 1997 .

[7]  Vallam Sundar,et al.  Diffraction–radiation of multiple floating structures in directional waves , 2001 .

[8]  John W. Leonard,et al.  Hydrodynamic interference between floating cylinders in oblique seas , 1983 .

[9]  A. N. Williams,et al.  Oblique-Wave Diffraction by Noncollinear Segmented Offshore Breakwaters , 1995 .

[10]  Kwang June Bai,et al.  Diffraction of oblique waves by an infinite cylinder , 1975, Journal of Fluid Mechanics.

[11]  V. Sundar,et al.  The hydrodynamic behaviour of long floating structures in directional seas , 1995 .

[12]  B. N. Mandal,et al.  OBLIQUE WATER WAVE DIFFRACTION BY THIN VERTICAL BARRIERS IN WATER OF UNIFORM FINITE DEPTH , 1994 .

[13]  M. Isaacson,et al.  OBLIQUE REFLECTION CHARACTERISTICS OF RUBBLE-MOUND STRUCTURES , 1993 .

[14]  A. G. Abul-Azm.  Diffraction through wide submerged breakwaters under oblique waves , 1994 .

[15]  S. Twu,et al.  Wave damping characteristics of vertically stratified porous structures under oblique wave action , 2002 .

[16]  C. J. Garrison.  Interaction of oblique waves with an infinite cylinder , 1984 .

[17]  P. Das,et al.  Oblique Wave Diffraction by Parallel Thin Vertical Barriers with Gaps , 1997 .