Abstract
We present a higher order panel method for the numerical simulation of nonlinear gravity waves and ship motions in two and three dimensions. The method is based on a Green’s formulation for the velocity potential, which is introduced under the usual assumptions of an ideal fluid and an irrotational flow. Stable and accurate results for both linear and highly nonlinear waves are obtained. We discuss some essential feattires of our panel method, such as the time stepping mechanism and the approximation of the geometry. A variational formulation for the nonlinear free surface wave problem is presented, with direct implications for the numerical solution techniques which have been applied. Test results are shown for steady waves, overturning waves and wave-structure interactions. The numerical algorithm and preliminary results for surface piercing floating bodies are presented.
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© 1993 Springer-Verlag Berlin Heidelberg
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Zandbergen, P.J., Broeze, J., van Daalen, E.F.G. (1993). A Panel Method for the Simulation of Nonlinear Gravity Waves and Ship Motions. In: Kane, J.H., Maier, G., Tosaka, N., Atluri, S.N. (eds) Advances in Boundary Element Techniques. Springer Series in Computational Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-51027-4_24
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DOI: https://doi.org/10.1007/978-3-642-51027-4_24
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