Acta Mechanica Sinica

, Volume 13, Issue 2, pp 130–142 | Cite as

Second-order interaction of irregular waves with a truncated column

  • J. B. Huang
  • R. Eatock Taylor
Article
Received:

Abstract

A complete semi-analytical solution is obtained for second-order diffraction of plane bichromatic waves by a fixed truncated circular column. The fluid domain is divided into interior and exterior regions. In the exterior region, the second-order velocity potential is expressed in terms of ‘locked-wave’ and ‘free-wave’ components, both are solved using Fourier and eigenfunction expansions. The resulting ‘locked wave’ potential is expressed by one-dimensional Green's integrals with oscillating integrands. In order to increase computational efficiency, the far-field part of the integrals are carried out analytically. Solutions in both regions are matched on the interface by the potential and its normal derivative continuity conditions. Based on the present approach, the sum-and difference-frequency potentials are efficiently evaluated and are used to generate the quadratic transfer functions which correlates sum-frequency QTFs for a TLP column are present, which are compared for some frequency pairs with those from a fully numerical procedure. Satisfactory agreement has been obtained. QTF spectra for a case study TLP column, generated using the semi-analytical solution are presented. Also given are the results for nonlinear wave field around the column.

Key Words

marine hydrodynamics nonlinear wave force wave-structure interaction second-order wave diffraction 
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Copyright information

© Chinese Society of Theoretical and Applied Mechanics 1997

Authors and Affiliations

  • J. B. Huang
    • 1
  • R. Eatock Taylor
    • 1
  1. 1.Department of Engineering ScienceUniversity of OxfordOxfordUK

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