Developing a Physics-Informed Mathematical Model to Design Input Waves for Desired Ship Responses

The computational cost of high-fidelity simulations of ships in random waves requires that simulations are only done sparingly. Having a good idea of what wave conditions will produce a desired response can aid in the judicious use of simulations. In this study, we propose a physics-informed mathematical method that generates input wave signals which produce desired responses for multiple types of responses and at multiple times. This method models the waves as Gaussian processes for which the conditional distribution with respect to various random variables of interest, such as the heave and pitch of the ship at certain times, can be found. The mean of the conditional distribution gives a good candidate for the conditional wave which will generate the desired response. The method is physics-informed as the input parameters come from simulations or from experiments.