Deterministic Reconstruction and Prediction of a Non-Linear Wave Field Using Probe Data

The accurate simulation of non-linear sea states evolution over long time periods represents a great challenge, with number of applications in oceanography, marine engineering, security of people or marine transportation, etc... The aim of this study is to develop an efficient deterministic prediction model for irregular wave fields based on the exploitation of wave elevation time series given by one or more probes. We use the High-Order-Spectral model (HOS) to simulate numerically the wave field evolution, in order to take the non-linear effects up to a desired order into account. In this paper, we report on the development of an effective reconstruction scheme, for two dimensional wave fields and using one wave record, that allows us to get proper initial conditions for numerical simulations and nonlinear wave fields forecast.