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Grice JR, Taylor PH, Taylor RE. Second-order statistics and 'designer' waves for violent free-surface motion around multi-column structures. Philos Trans A Math Phys Eng Sci. 2015;373(2033)doi: 10.1098/rsta.2014.0113.
Grice, J. R., Taylor, P. H., & Taylor, R. E. (2015). Second-order statistics and 'designer' waves for violent free-surface motion around multi-column structures. Philosophical transactions. Series A, Mathematical, physical, and engineering sciences, 373(2033), . https://doi.org/10.1098/rsta.2014.0113
Grice, J R, et al. "Second-order statistics and 'designer' waves for violent free-surface motion around multi-column structures." Philosophical transactions. Series A, Mathematical, physical, and engineering sciences vol. 373,2033 (2015). doi: https://doi.org/10.1098/rsta.2014.0113
Grice JR, Taylor PH, Taylor RE. Second-order statistics and 'designer' waves for violent free-surface motion around multi-column structures. Philos Trans A Math Phys Eng Sci. 2015 Jan 28;373(2033). doi: 10.1098/rsta.2014.0113. PMID: 25512584; PMCID: PMC4275929.
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Philos Trans A Math Phys Eng Sci. 2015 Jan 28;373(2033). doi: 10.1098/rsta.2014.0113.

Second-order statistics and 'designer' waves for violent free-surface motion around multi-column structures.

Philosophical transactions. Series A, Mathematical, physical, and engineering sciences

J R Grice, P H Taylor, R Eatock Taylor

Affiliations

  1. Department of Engineering Science, University of Oxford, Parks Road, Oxford OX1 3PJ, UK [email protected].
  2. Department of Engineering Science, University of Oxford, Parks Road, Oxford OX1 3PJ, UK.

PMID: 25512584 PMCID: PMC4275929 DOI: 10.1098/rsta.2014.0113

Abstract

Extreme wave-structure interactions are investigated using second-order diffraction theory. The statistics of surface elevation around a multi-column structure are collected using Monte Carlo-type simulations for severe sea states. Within the footprint of a realistic four-column structure, we find that the presence of the structure can give rise to extreme crest elevations greater than twice those at the same return period in the incident wave field. Much of this extra elevation is associated with the excitation of second-order near-trapped modes. A 'designer' incident wave can be defined at each point around the structure for a given sea state as the average input wave to produce extreme crest elevations at a given return period, and we show that this wave can be simply vertically scaled to estimate the response at other return periods.

© 2014 The Author(s) Published by the Royal Society. All rights reserved.

Keywords: designer wave; diffraction; hydrodynamics; second order

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