Global relationships MCIVER M.pdf (1.44 MB)
Global relationships between two-dimensional water wave potentials
journal contribution
posted on 2009-03-03, 13:55 authored by Maureen McIverWhen a body interacts with small-amplitude surface waves in an ideal fluid, the
resulting velocity potential may be split into a part due to the scattering of waves
by the fixed body and a part due to the radiation of waves by the moving body
into otherwise calm water. A formula is derived which expresses the two-dimensional
scattering potential in terms of the heave and sway radiation potentials at all points in
the fluid. This result generalizes known reciprocity relations which express quantities
such as the exciting forces in terms of the amplitudes of the radiated waves. To
illustrate the use of this formula beyond the reciprocity relations, equations are
derived which relate higher-order scattering and radiation forces. In addition, an
expression for the scattering potential due to a wave incident from one infinity in
terms of the scattering potential due to a wave from the other infinity is obtained.
History
School
- Science
Department
- Mathematical Sciences
Citation
MCIVER, M., 1996. Global relationships between two-dimensional water wave potentials. Journal of Fluid Mechanics Digital Archive, 312, pp. 299 - 309Publisher
© Cambridge University PressVersion
- VoR (Version of Record)
Publication date
1996Notes
This article was published in the Journal of Fluid Mechanics Digital Archive [© Cambridge University Press]. The definitive version is available at: http://journals.cambridge.orgISSN
0022-1120Language
- en