### Abstract

The radiation and diffraction problems for an array of submerged circular cylinders with vertical axes of revolution are formulated exactly to first order in the frequency domain. Matched eigenfunction expansions and a transform matrix method are used to solve the scattering problem for an arbitrary array using a truncated system of matrix equations. For a single shallowly submerged cylinder, the model is used to characterise the occurrence of resonances in the region of fluid above the cylinder moving in heave and surge motion. The method is then applied to a square array of four cylinders, and the effect of array interactions demonstrated. It is found that fluid resonances above the cylinder are still important, but are modified by multiple scattering. Finally, the mean vertical drift force is calculated from the first order solution by direct pressure integration over the body surface.

Original language | English |
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Pages (from-to) | 1-14 |

Number of pages | 14 |

Journal | Applied Ocean Research |

Volume | 81 |

DOIs | |

Publication status | Published - 1 Dec 2018 |

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**Linear hydrodynamic modelling of arrays of submerged oscillating cylinders.** / McCauley, Guy; Wolgamot, Hugh; Orszaghova, Jana; Draper, Scott.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Linear hydrodynamic modelling of arrays of submerged oscillating cylinders

AU - McCauley, Guy

AU - Wolgamot, Hugh

AU - Orszaghova, Jana

AU - Draper, Scott

PY - 2018/12/1

Y1 - 2018/12/1

N2 - The radiation and diffraction problems for an array of submerged circular cylinders with vertical axes of revolution are formulated exactly to first order in the frequency domain. Matched eigenfunction expansions and a transform matrix method are used to solve the scattering problem for an arbitrary array using a truncated system of matrix equations. For a single shallowly submerged cylinder, the model is used to characterise the occurrence of resonances in the region of fluid above the cylinder moving in heave and surge motion. The method is then applied to a square array of four cylinders, and the effect of array interactions demonstrated. It is found that fluid resonances above the cylinder are still important, but are modified by multiple scattering. Finally, the mean vertical drift force is calculated from the first order solution by direct pressure integration over the body surface.

AB - The radiation and diffraction problems for an array of submerged circular cylinders with vertical axes of revolution are formulated exactly to first order in the frequency domain. Matched eigenfunction expansions and a transform matrix method are used to solve the scattering problem for an arbitrary array using a truncated system of matrix equations. For a single shallowly submerged cylinder, the model is used to characterise the occurrence of resonances in the region of fluid above the cylinder moving in heave and surge motion. The method is then applied to a square array of four cylinders, and the effect of array interactions demonstrated. It is found that fluid resonances above the cylinder are still important, but are modified by multiple scattering. Finally, the mean vertical drift force is calculated from the first order solution by direct pressure integration over the body surface.

KW - Arrays

KW - Mean vertical drift force

KW - Submerged cylinders

KW - Trapped modes

KW - Water waves

KW - Wave energy

UR - http://www.scopus.com/inward/record.url?scp=85054310379&partnerID=8YFLogxK

U2 - 10.1016/j.apor.2018.09.012

DO - 10.1016/j.apor.2018.09.012

M3 - Article

VL - 81

SP - 1

EP - 14

JO - Applied Ocean Research

JF - Applied Ocean Research

SN - 0141-1187

ER -