Shallow water theory and its application to the Venice lagoon Original Research Article

e analyze the computational methods for the shallow water equations. First we derive the shallow water equations from the Navier-Stokes equations and then we discuss the weak formulation of a differential problem and its discretization by the finite element method. Parallel computations are performed by domain decomposition methods. Finally, we present a finite element model to solve the motion problem of the shallow water due to the tides into the Venice lagoon. A comparison has been made between the numerical simulation and the real data on the internal measurement stations of the lagoon. The experimental and simulated data present a good agreement in all the measurement stations