Résumé
A finite volume method with a modified HLLC Riemann solver is proposed for the direct, equation-based, sensitivity solution of one-dimensional hyperbolic systems of conservation laws with discontinuous solutions. In the scope of hydrodynamic modelling, this method is applied to the shallow water equations and compared to the classical empirical method and the global approach using Monte Carlo simulations. Results obtained with the proposed approach show a better behaviour in the presence of shocks and a good reproduction of output distribution in only one simulation with possible variations of the input parameters up to 50%.