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Consistent expressions for the free-surface Green function in finite water depth.

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Title: Consistent expressions for the free-surface Green function in finite water depth.
Authors: Mackay, Ed1 (AUTHOR) e.mackay@exeter.ac.uk
Source: Applied Ocean Research. Dec2019, Vol. 93, pN.PAG-N.PAG. 1p.
Subjects: Green's functions, Water depth, Infinite series (Mathematics)
Abstract: Fast and accurate computation of the free-surface Green function is of key importance for the numerical solution of linear and second-order wave-structure interaction problems in three dimensions. Integral and series expressions for the Green function are derived for which the limiting values for zero and infinite frequency are consistent with the zero and infinite frequency Green function defined in terms of infinite series of Rankine image sources. The integral expressions presented here have the advantage that they are slowly varying with the non-dimensional wave frequency, making them more efficient to approximate compared with previous expressions. [ABSTRACT FROM AUTHOR]
Copyright of Applied Ocean Research is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 139505776
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
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  Data: Consistent expressions for the free-surface Green function in finite water depth.
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  Data: <searchLink fieldCode="AR" term="%22Mackay%2C+Ed%22">Mackay, Ed</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> e.mackay@exeter.ac.uk</i>
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  Data: Fast and accurate computation of the free-surface Green function is of key importance for the numerical solution of linear and second-order wave-structure interaction problems in three dimensions. Integral and series expressions for the Green function are derived for which the limiting values for zero and infinite frequency are consistent with the zero and infinite frequency Green function defined in terms of infinite series of Rankine image sources. The integral expressions presented here have the advantage that they are slowly varying with the non-dimensional wave frequency, making them more efficient to approximate compared with previous expressions. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Applied Ocean Research is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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    Identifiers:
      – Type: doi
        Value: 10.1016/j.apor.2019.101965
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      – Code: eng
        Text: English
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        PageCount: 1
        StartPage: N.PAG
    Subjects:
      – SubjectFull: Green's functions
        Type: general
      – SubjectFull: Water depth
        Type: general
      – SubjectFull: Infinite series (Mathematics)
        Type: general
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      – TitleFull: Consistent expressions for the free-surface Green function in finite water depth.
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            NameFull: Mackay, Ed
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            – D: 01
              M: 12
              Text: Dec2019
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              Y: 2019
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              Value: 93
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            – TitleFull: Applied Ocean Research
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