Extreme wave elevations beneath offshore platforms, second order trapping, and the near flat form of the quadratic transfer functions

被引:11
作者
Grice, J. R. [1 ]
Taylor, P. H. [1 ]
Taylor, R. Eatock [1 ]
Zang, J. [2 ]
Walker, D. A. G. [3 ]
机构
[1] Univ Oxford, Dept Engn Sci, Oxford OX1 3PJ, England
[2] Univ Bath, Dept Architecture & Civil Engn, Bath BA2 7AY, Avon, England
[3] BP Explorat Operating Co Ltd, Sunbury On Thames TW16 7LN, Middx, England
基金
英国工程与自然科学研究理事会;
关键词
Second order; QTF approximation; Wave-structure interactions; Near-trapping; CIRCULAR-CYLINDERS; ARRAYS; DIFFRACTION;
D O I
10.1016/j.compfluid.2015.06.025
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
Extreme free surface elevations due to wave-structure interactions are investigated to second order using Quadratic Transfer Functions (QTFs). The near-trapping phenomenon for small arrays of closely spaced columns is studied for offshore applications, and the excitation of modes by linear and second order interactions is compared. A simple method for approximating near-trapped mode shapes is shown to give good results for both linear and second order excitation. Low frequency near-trapped mode shapes are shown to be very similar whether excited linearly or to second order. Approximating surface elevation sum QTF matrices as being flat perpendicular to the leading diagonal is investigated as a method for greatly reducing lengthy QTF calculations. The effect of this approximation on second order surface elevation calculations is assessed and shown to be reasonably small with realistic geometries for semi-submersible and tension-leg platforms. (C) 2015 Elsevier Ltd. All rights reserved.
引用
收藏
页码:13 / 25
页数:13
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