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Free-surface flow over a semicircular obstruction

Published online by Cambridge University Press:  20 April 2006

Lawrence K. Forbes  and
Leonard W. Schwartz
Lawrence K. Forbes
Affiliation:
Department of Applied Mathematics, University of Adelaide, South Australia 5000
Leonard W. Schwartz
Affiliation:
Department of Applied Mathematics, University of Adelaide, South Australia 5000
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Abstract

The two-dimensional steady flow of a fluid over a semicircular obstacle on the bottom of a stream is discussed. A linearized theory is presented, along with a numerical method for the solution of the fully nonlinear problem. The nonlinear free-surface profile is obtained after solution of an integrodifferential equation coupled with the dynamic free-surface condition. The wave resistance of the semicircle is calculated from knowledge of the solution at the free surface.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 114 , January 1982 , pp. 299 - 314
Copyright
© 1972 Cambridge University Press

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