On the implementation of a finite volumes scheme with monotone transmission conditions for scalar conservation laws on a star-shaped network

摘要

In this paper we validate the implementation of the numerical scheme proposed in [3]. The validation is made by comparison with an explicit solution here obtained, and the solutions of Riemann problems for several networks. We then perform some simulations in order to qualitatively validate the model under consideration. Such results represent also a first step for the validation of the finite volumes scheme introduced in [14].