I have a given wave time series measured at a given position in a wave flume. I would like to know how to determine the wave series that has to be generated at the flume paddle in order to reproduce my measured time series. I appreciate any help on the topic.
Does your measured time series has both incident and reflected wave components? Is the position at the same water depth than the paddle?
Alec, as for now, I am on the simple side. Horizontal flat bottom and no reflection, although in the future I will have to include both reflection and a sloping bottom.
Hi Marc. I think this can get really complicated. The wave train (spectra) evolution from the paddle to the measurement location will depend on the spectrum bandwidth and nonlinearity (Ursell). For Ur>>1 significant (nonlinear) energy transfer and phase modification can take place in a relatively small distance. On the other hand, there are some experimental evidences of recurrence (quasi-periodic return to the initial conditions of the system) in deep water. I would suggest you to revise the literature regarding recurrence [e.g., Fermi et al. 1951; Elgar et al. 1990 JGR]. Hope this could be of any help.
As far as I know, if the wave series measured at the given position presents the characters of regular waves, the paddle displacement can be calculated through a transfer function. If the wave you measured at the given position is irregular wave, we can only ensure that the same significant wave parameters can be obtained but not the same wave series.
Alec, Ming, thank you very much for your answers. I am starting to get an insight of the problem I am facing.
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