Fig. 3.

Illustration of how to form an initial ensemble of inflow profiles by assigning probability distributions at discretized points. Here, for example, a Gaussian distribution is assigned at each of six equispaced time points over the interval [0, 0.53] s. (Left) The assigned distributions have means given by the discretized points on the curve and fixed standard deviations. (Right) At each discretized time point, the corresponding distribution is sampled (here, the sample size is three) and the sample points are connected in an ascending manner to form physically plausible inflow profiles. These profiles are then smoothed with a cubic spline to enforce regularity (not pictured).