Victor M. Ponce - Celerity in shallow wave propagation


DIMENSIONLESS RELATIVE WAVE CELERITY VS DIMENSIONLESS WAVENUMBER
IN SHALLOW WAVE PROPAGATION IN OPEN CHANNEL FLOW

(Ponce and Simons, 1977)

Variation of the dimensionless relative wave celerity as a function of dimensionless wavenumber in the range 0.01-1000; curve parameter is Froude number in the range 0.1-10.

[ To the left the celerity is asymptotic to the relative kinematic wave celerity (Seddon celerity: 0.5, for Chezy friction in hydraulically wide channel). To the right, the celerity is asymptotic to the relative dynamic wave celerity (Lagrange celerity: 1/ Fr). For each curve, the point of inflection in the middle corresponds with maximum wave attenuation. Wave attenuation is minimized at both extremes of the dimensionless wavenumber spectra. ]