Gravity-capillary water waves generated by multiple pressure distributions

Page, Charlotte, Parau, Emilian I. ORCID: and Grandison, Scott (2013) Gravity-capillary water waves generated by multiple pressure distributions. Journal of Nonlinear Science and Applications, 6 (2). pp. 137-144. ISSN 2008-1901

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Steady two-dimensional free-surface flows subjected to multiple localised pressure distributions are considered. The fluid is bounded below by a rigid bottom, and above by a free-surface, and is assumed to be inviscid and incompressible. The flow is assumed irrotational, and the effects of both gravity and surface tension are taken into account. Forced solitary wave solutions are found numerically, using boundary integral equation techniques, based on Cauchy integral formula. The integrodifferential equations are solved iteratively by Newton's method. The behaviour of the forced waves is determined by the Froude number, the Bond number, and the coefficients of the pressure forcings. Multiple families of solutions are found to exist for particular values of the Froude number; perturbations from a uniform stream, and perturbations from pure solitary waves. Elevation waves are only obtained in the case of a negatively forced pressure distribution.

Item Type: Article
Faculty \ School: Faculty of Science > School of Computing Sciences
Faculty of Science > School of Mathematics
UEA Research Groups: Faculty of Science > Research Groups > Fluid and Solid Mechanics
Depositing User: Users 2731 not found.
Date Deposited: 29 Jan 2013 14:45
Last Modified: 16 Aug 2023 16:30
DOI: 10.22436/jnsa.006.02.09

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