Estimating Harmonic Parameters for Damped CoOscillating Tides
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The parameters of Ippen and Harlemans harmonic analysis for the study of long periodic waves are investigated with emphasis on semidiurnal tidal co-oscillations in one-dimensional open channels. The data required for application of this analysis are obtained through a numerical simulation of tidal propagation phenomenon by a finite element technique. From the characteristic quantities of the method, the wave-number, k, and the dimensionless parameter, , are examined and then related analytically to a number of physical and geometrical quantities, including the bottom friction coefficient and dimensionless combinations of the wave amplitude, length and depth of the channel, and tidal wave length. Subsequently, qualitative and quantitative information is provided for the linearized friction factor M of Telegraphers equation, the phase shift a between tidal heights and currents, and the damping modulus . The results are verified by experimental and field data. ASCE.
