A numerical method of solution for the Kelvin-Neumann problem
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.
KeywordsFree Surface Froude Number Hyperbolic Equation Wave Pattern Inviscid Flow
Unable to display preview. Download preview PDF.
- 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).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