In this paper some abnormal or rogue wave events registered in the North Sea by means of the surface elevation measurement are reconstructed with numerical models. The time series of surface elevation measured at a single point although providing incomplete information, are used to restore the unidirectional wave dynamics under reasonable assumptions. Different approaches of defining the relation between the surface elevation and the fluid velocity field are considered, and different numerical models are used to simulate the wave dynamics in time and space. It is shown that for some abnormal or rogue wave records the result of the extreme event reconstruction is robust. In particular, the verification of approximate approaches versus the fully nonlinear numerical simulation is performed. At the same time, the reconstructed rogue wave is generally less steep than the measured one. Possible reasons for this discrepancy are suggested.
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