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Finite-difference simulation of nonlinear ship waves

Published online by Cambridge University Press:  20 April 2006

Hideaki Miyata  and
Shinichi Nishimura
Hideaki Miyata
Affiliation:
Department of Naval Architecture, The University of Tokyo, Hongo, Bunkyo-ku, Tokyo 113
Shinichi Nishimura
Affiliation:
Department of Naval Architecture, The University of Tokyo, Hongo, Bunkyo-ku, Tokyo 113 Present Address: Mitsubishi Heavy Industries, Kobe Shipyard, Wadamisaki, Hyogo-ku, Kobe 652.
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Abstract

A finite-difference solution method for nonlinear wave generation in the near field of ships of arbitrary three-dimensional configuration is developed. Momentum equations of finite-difference form in a fixed rectangular cell system are solved by a time-marching scheme. The exact inviscid free-surface condition is approximately satisfied at the actual location of the free surface, and the free-slip body boundary condition is implemented by use of approximation of the body configuration and a special pressure computation in body boundary cells. The degree of accuracy is raised by employing a variable-mesh system in the vertical direction. Computed results are presented for three hull forms: a mathematical and two practical hull forms. Agreement with experiment seems to be fairly good. In particular, the computed wave profiles and contour maps of bow waves show excellent resemblance to the measured ones, having some typical characteristics of nonlinear ship waves.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 157 , August 1985 , pp. 327 - 357
Copyright
© 1985 Cambridge University Press

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