Efficient solution to the current-depth dispersion equation

This report describes work carried out into the movement of sand by combined waves and currents.

The current-depth dispersion equation is an analytically intractable equation which frequently occurs in computational models of wave-current interaction. Conventional techniques for the solution to this equation involve an iteration process which can be computationally time-consuming. An alternative quicker method involving interpolation in look-up tables is described in this report. The method is shown to predict the solution to an accuracy of 0.5% and is about three times faster in computational time than a method based on iteration.