Run-up on a structure due to second-order waves and current in a numerical wave tank

Publication: Research - peer-reviewJournal article – Annual report year: 1998

  • Author: Buchmann, Bjarne

  • Author: Skourup, Jesper

    DHI Denmark

  • Author: Cheung, Kwok Fai

    University of Hawaii

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A numerical wave tank is considered in which the interaction between waves, current and a structure is simulated by a 3D boundary element model in the time domain. Through a Taylor series expansion and a perturbation procedure the model is formulated to second order in wave steepness and to first order in current speed. The boundary-value problem is separated into a known incident wave field and an unknown scattered wave field, the latter being absorbed at the radiation boundaries using active wave absorption. The present paper focuses on the wave run-up on a structure in waves and current. For the simulations a bottom mounted vertical circular cylinder is chosen. The numerical results show good agreement with previous analytical and numerical solutions for second-order wave diffraction without a current and first-order wave diffraction with a collinear current. The inclusion of a current in the calculation of second-order wave run-up is new and the validity of the results is demonstrated by a parametric study. It is shown that both the current and the second-order wave components are of significant importance in calculating magnitude and location of the maximum run-up on a structure. (C) 1998 Elsevier Science Ltd. All rights reserved.
Original languageEnglish
JournalApplied Ocean Research
Issue number5
Pages (from-to)297-308
StatePublished - 1998
CitationsWeb of Science® Times Cited: 40
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ID: 5360376