Gravity-capillary water waves generated by multiple pressure distributions
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Authors
Charlotte Page
- School of Computing Sciences, University of East Anglia, Norwich, NR4 7TJ, United Kingdom.
Emilian I. Părău
- School of Mathematics, University of East Anglia, Norwich, NR4 7TJ, United Kingdom.
Scott Grandison
- School of Computing Sciences, University of East Anglia, Norwich, NR4 7TJ, United Kingdom.
Abstract
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.
Share and Cite
ISRP Style
Charlotte Page, Emilian I. Părău, Scott Grandison, Gravity-capillary water waves generated by multiple pressure distributions, Journal of Nonlinear Sciences and Applications, 6 (2013), no. 2, 137--144
AMA Style
Page Charlotte, Părău Emilian I., Grandison Scott, Gravity-capillary water waves generated by multiple pressure distributions. J. Nonlinear Sci. Appl. (2013); 6(2):137--144
Chicago/Turabian Style
Page, Charlotte, Părău, Emilian I., Grandison, Scott. "Gravity-capillary water waves generated by multiple pressure distributions." Journal of Nonlinear Sciences and Applications, 6, no. 2 (2013): 137--144
Keywords
- Nonlinear waves
- gravity-capillary waves
MSC
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