  Small islands in the vicinity of the mainland are believed to offer
protection from wind and waves and thus coastal communities have been developed
in these areas. However, what happens when it comes to tsunamis is not clear.
Will these islands act as natural barriers ? Recent post-tsunami survey data,
supported by numerical simulations, reveal that the run-up on coastal areas
behind small islands was significantly higher than on neighboring locations not
affected by the presence of the island. To study the conditions of this run- up
amplification, we solve numerically the nonlinear shallow water equations
(NSWE). We use the simplified geometry of a conical island sitting on a flat
bed in front of a uniform sloping beach. By doing so, the experimental setup is
defined by five physical parameters, namely the island slope, the beach slope,
the water depth, the distance between the island and the plane beach and the
incoming wavelength, while the wave height was kept fixed. The objective is
twofold: Find the maximum run-up amplification with the least number of
simulations. To achieve this goal, we build an emulator based on Gaussian
Processes to guide the selection of the query points in the parameter space.
