CURRENT DEPTH REFRACTION OF REGULAR WAVES

Ivar G. Jonsson, John B. Christoffersen

Abstract


The complete set of equations for the refraction of small surface gravity waves on large-scale currents over a gradually varying sea bed is derived and presented. Wave lengths, direction of propagation and wave heights are all determined along the so-called wave rays as solutions to ordinary, first-order differential equations. Dissipation due to bed friction in the combined current wave motion is included. The ray tracing method is used in an example. A method for the calculation of current depth refraction of weakly non-linear waves is proposed.

Keywords


current; depth refraction; regular waves

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DOI: http://dx.doi.org/10.9753/icce.v19.%25p