The steady water wave: A numerical solution using the Riemann-Hilbert method

DOI10.1016/0020-7225(80)90013-0zbMath0431.76016OpenAlexW2039531103MaRDI QIDQ1138436

S. H. Smith

Publication date: 1980

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7225(80)90013-0

zbMATH Keywords

successive approximationtwo-dimensionalsymmetricfree surface flowsflat bottomnumericallyRiemann- Hilbert methodset of integral equations

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Related Items (2)

Hilbert's method for numerical solution of flow from a uniform channel over irregular bottom topographies ⋮ Approximate solution of a flow over a ramp for large Froude number

Cites Work

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• A Cauchy integral-equation method for the numerical solution of the steady water-wave problem
• On the mass, momentum, energy and circulation of a solitary wave
• A numerical study of the relationship between the dimensionless parameters in the problem of periodic waves of permanent type in a liquid of finite depth
• Integral properties of periodic gravity waves of finite amplitude
• Steep gravity waves in water of arbitrary uniform depth
• Large amplitude surface waves
• Computer extension and analytic continuation of Stokes’ expansion for gravity waves

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