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A derivation of equations for wave propagation in water of variable depth

Published online by Cambridge University Press:  11 April 2006

A. E. Green  and
P. M. Naghdi
A. E. Green
Affiliation:
Mathematical Institute, University of Oxford
P. M. Naghdi
Affiliation:
Department of Mechanical Engineering, University of California, Berkeley
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Abstract

Within the scope of the three-dimensional theory of homogeneous incompressible inviscid fluids, this paper contains a derivation of a system of equations for propagation of waves in water of variable depth. The derivation is effected by means of the incompressibility condition, the energy equation, the invariance requirements under superposed rigid-body motions, together with a single approximation for the (three-dimensional) velocity field.

Information

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 78 , Issue 2 , 23 November 1976 , pp. 237 - 246
Copyright
© 1976 Cambridge University Press

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References

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