Irregular frequencies and iterative methods in the solution of steady surface-wave problems in hydrodynamics

DOI10.1007/BF00042844zbMath0569.76020OpenAlexW1979327671MaRDI QIDQ1060904

Lawrence K. Forbes

Publication date: 1984

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00042844

zbMATH Keywords

Fredholm integral equation of the second kindfree surface flowsboundary-integral methodNeumann-type iteration schemes

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Basic methods in fluid mechanics (76M99)

Related Items (7)

Flow due to a sink near a vertical wall, in infinitely deep fluid ⋮ An algorithm for 3-dimensional free-surface problems in hydrodynamics ⋮ Analytical solution of boundary integral equations for 2D steady linear wave problems ⋮ The design of a full-scale industrial mineral leaching process ⋮ IDEAL PLANAR FLUID FLOW OVER A SUBMERGED OBSTACLE: REVIEW AND EXTENSION ⋮ On the effects of nonlinearity in free-surface flow about a submerged point vortex ⋮ On the computation of steady axisymmetric withdrawal from a two-layer fluid

Cites Work

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• Alternative integral representations for the Green function of the theory of ship wave resistance
• Nonlinear, drag-free flow over a submerged semi-elliptical body
• Hilbert's method for numerical solution of flow from a uniform channel over a shelf
• The second approximation to cnoidal and solitary waves
• Free-surface flow over a semicircular obstruction
• Irregular frequencies and the motion of floating bodies

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