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Nonlinear ship-wave theories by continuous mapping

Published online by Cambridge University Press:  29 March 2006

F. Noblesse  and
G. Dagan
F. Noblesse
Affiliation:
Institute of Hydraulic Research, The University of Iowa, Iowa City Present address: Department of Aeronautics and Astronautics, Stanford University, Stanford, California.
G. Dagan
Affiliation:
Institute of Hydraulic Research, The University of Iowa, Iowa City
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Abstract

The exact equations of steady inviscid flow past a ship hull are formulated in a reference domain, onto which the flow domain is mapped. A thin-ship perturbation analysis is performed in the reference domain, and the first- and second-order solutions are derived. The classical thin-ship theory is obtained as the consistent, mapping-independent, perturbation solution in the physical space. Guilloton's method is interpreted as an inconsistent, mapping-dependent, second-order approximation. A new inconsistent approximation is obtained by exploiting the freedom in the mapping of the flow domain onto the reference domain. Further improvements are suggested.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 75 , Issue 2 , 27 May 1976 , pp. 347 - 371
Copyright
© 1976 Cambridge University Press

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