This article is a review of the work that we are carrying out to efficiently simulate shallow
water flows. In this paper, we focus on the efficient implementation of path-conservative
Roe type high-order finite volume schemes to simulate shallow flows that are supposed
to be governed by the one-layer or two-layer shallow water systems, formulated under the
form of a conservation law with source terms. The implementation of the scheme is carried
out on Graphics Processing Units (GPUs), thus achieving a substantial improvement of the
speedup with respect to normal CPUs. Finally, some numerical experiments are presented
