The Green function for diffraction and radiation of regular waves by two-dimensional structures
dc.contributor.author | Mackay, E | |
dc.date.accessioned | 2021-02-16T09:08:38Z | |
dc.date.issued | 2021-02-09 | |
dc.description.abstract | New expressions are derived for the Green function (GF) for diffraction and radiation of waves by a two-dimensional (2D) body in finite water depth. The finite depth GF is expressed as a sum of singularities, the infinite depth GF and smoothly-varying integrals that are convergent for all parameter values. The infinite depth component is given explicitly, making it very fast to compute. Explicit expressions are derived for the limiting cases of zero and infinite frequency, for both finite and infinite water depth. The low frequency limit of the 2D GF is inconsistent with the zero-frequency 2D GF, with the real part tending to infinity when the water depth is infinite and the imaginary part tending to infinity in finite water depth. The inconsistencies with the zero frequency GF differ between the 2D and 3D cases. These inconsistencies lead to differences between the low-frequency behaviour of the added mass and damping of an oscillating body and the values at zero frequency. It is shown that these differences can be inferred directly from the behaviour of the GF at low frequencies. | en_GB |
dc.description.sponsorship | Engineering and Physical Sciences Research Council (EPSRC) | en_GB |
dc.identifier.citation | Vol. 87, pp. 151-160 | en_GB |
dc.identifier.doi | 10.1016/j.euromechflu.2021.01.012 | |
dc.identifier.grantnumber | EP/R007519/1 | en_GB |
dc.identifier.uri | http://hdl.handle.net/10871/124748 | |
dc.language.iso | en | en_GB |
dc.publisher | Elsevier / European Mechanics Society (Euromech) | en_GB |
dc.rights | © 2021 The Author(s). Published by Elsevier Masson SAS. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). | en_GB |
dc.subject | Green function | en_GB |
dc.subject | Boundary element method | en_GB |
dc.subject | Asymptotic analysis | en_GB |
dc.subject | Added mass | en_GB |
dc.subject | Damping | en_GB |
dc.title | The Green function for diffraction and radiation of regular waves by two-dimensional structures | en_GB |
dc.type | Article | en_GB |
dc.date.available | 2021-02-16T09:08:38Z | |
dc.identifier.issn | 0997-7546 | |
dc.description | This is the final version. Available on open access from Elsevier via the DOI in this record | en_GB |
dc.identifier.journal | European Journal of Mechanics - B/Fluids | en_GB |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | en_GB |
dcterms.dateAccepted | 2021-01-30 | |
rioxxterms.version | VoR | en_GB |
rioxxterms.licenseref.startdate | 2021-02-09 | |
rioxxterms.type | Journal Article/Review | en_GB |
refterms.dateFCD | 2021-02-16T09:07:27Z | |
refterms.versionFCD | VoR | |
refterms.dateFOA | 2021-02-16T09:08:42Z | |
refterms.panel | B | en_GB |
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Except where otherwise noted, this item's licence is described as © 2021 The Author(s). Published by Elsevier Masson SAS. This is an open access article under the CC BY
license (http://creativecommons.org/licenses/by/4.0/).