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Forward diffraction of Stokes waves by a thin wedge

Published online by Cambridge University Press:  19 April 2006

Dick K. P. Yue  and
Chiang C. Mei
Dick K. P. Yue
Affiliation:
R.M. Parsons Laboratory, Department of Civil Engineering, Massachusetts Institute of Technology
Chiang C. Mei
Affiliation:
R.M. Parsons Laboratory, Department of Civil Engineering, Massachusetts Institute of Technology
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Abstract

The diffraction of a steady Stokes wave train by a thin wedge with vertical walls is studied when the incident wave is directed along the wedge axis (grazing incidence). Parabolic approximation applied recently by Mei & Tuck (1980) to linear diffraction is extended to this nonlinear case. Significant effects of nonlinearity are found numerically, in particular the sharp forward bending of wave crests near the wedge. The computed features are found to corroborate the existing experiments only qualitatively; the controlling factors in the latter being not completely understood. An analytical model of stationary shock is proposed to approximate the numerical results of Mach stems.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 99 , Issue 1 , 11 July 1980 , pp. 33 - 52
Copyright
© 1980 Cambridge University Press

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