Water wave scattering from a mass loading ice floe of random length using generalised polynomial chaos

Uncertainty Quantification in Mooring Cable Dynamics Using Polynomial Chaos Expansions

“…We find that the expected value of the position of the midpoint of the cable, computed using gPC, is 9.39 × 10 −2 m, and the variance is 1.26 × 10 −1 m 2 . 2.4 p = 1 p = 2 p = 3 p = 4 p = 5 p = 6 (a) In Figure 3b we can see the evolution of the error in the mean and in the variance of the solution of Equation (20) at the midpoint, as a function of the polynomial order and number of Monte Carlo samples. The error is defined as the absolute value of the difference between the mean or variance at a certain order (or number of samples) and the value at a polynomial order p = 10, for gPC, or at 500,000 samples, for the MC method.…”

“…For renewable energy we note the study of wind turbines [15]. In coastal engineering gPC has been used to study the sensitivity of coastal inundation to parameters like Manning's number [16,17], while in ocean engineering the method has been applied to phase-averaging spectral wave modeling [18], water wave propagation and transformation [19], wave scattering from an ice floe [20], and the motions of a heaving cylinder [21] in irregular waves. It is also seeing applications in the field of marine renewable energy and moored structures, in the prediction of extreme loads on wave energy converters [22], and long-term extreme responses of moored floating structures [23] .…”