A numerical method of solution for the Kelvin-Neumann problem

  • C. Korving
Contributed Papers
Part of the Lecture Notes in Physics book series (LNP, volume 218)


A numerical procedure is described for the steady, inviscid flow of a moving disturbance at the free surface. The method is valid for application in the case of a moving pressure distribution at the free surface. The solution is obtained by collocation where Laplace's equation is transformed into a system of differential equations. In the diagonal dominant structure one equation can be distinguished of the hyperbolic type and the other equations of the elliptic type.

The result involves a simplification for handling the radiation condition in a finite domain of calculation around the pressure distribution.

Computational results are presented, clearly demonstrating the Kelvin wave pattern downstream of the disturbance at the free surface.

An extension of the method to the case of a body at the free surface is currently being studied.


Free Surface Froude Number Hyperbolic Equation Wave Pattern Inviscid Flow 
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  1. 1).
    Korving C., A Numerical Method for the Wave Resistance of a Moving Pressure Distribution on the Free Surface, Proceedings, Seventh I.C. on N.M. in F.D. 1980.Google Scholar
  2. 2).
    Kerczek, C. von and Salvesen, N., Nonlinear Free Surface Effects, The Dependence on Froude Number, Second I.C. on Num. Ship Hyd., Un. of Cal. Berkeley, 1977.Google Scholar

Copyright information

© Springer-Verlag 1985

Authors and Affiliations

  • C. Korving
    • 1
  1. 1.Department of MathematicsDelft University of TechnologyThe Netherlands

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