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Nonlinear ship-wave theories by continuous mapping

Published online by Cambridge University Press:  29 March 2006

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

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
Copyright
© 1976 Cambridge University Press

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