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NONLINEAR WAVE FORCES ON VERTICAL CYLINDER ARRAYS

A complete second-order solution is presented for the hydrodynamic forces due to the action of monochromatic waves on an array of bottom-mounted, surface-piercing, vertical cylinders of arbitrary cross-section in water of uniform, finite depth. Exploiting the constant structural cross-sections, the vertical dependency of the linearised potentials is expressed in terms of eigenfunction expansions. The first-order problem is then solved utilising a two-dimensional Green's function approach. Through the application of Green's second identity, the second-order forces due to the second-order potential are expressed in terms of free-surface and structural integrals involving first-order quantities and associated linearised radiation potentials obtained by oscillating each of the structures in turn at the second-order wave frequency. An efficient numerical technique is presented to treat the oscillatory free-surface integral appearing in the second-order force formulation. The integration of this term in the far-field is carried out analytically utilising the asymptotic behaviour of the potential components, thus eliminating the need to define a truncation boundary specifying the extent of a finite, free-surface, computational domain. Numerical results are presented for arrays of cylinders of circular and elliptical cross-sections which illustrate the relative importance of second-order effects for a range of wave frequencies and incident wave directions.

  • Supplemental Notes:
    • J Fluids & Structures, v 5 n 1, Jan 1991, p 1 [32 p, 31 ref, 5 tab, 18 fig]
  • Authors:
    • Ghalayini, S A
    • Williams, A N
  • Publication Date: 1991

Language

  • English

Subject/Index Terms

Filing Info

  • Accession Number: 00700180
  • Record Type: Publication
  • Source Agency: British Maritime Technology
  • Files: TRIS
  • Created Date: Aug 14 1995 12:00AM