APPROCHE NUMERIQUE AUX VOLUMES FINIS POUR LE CALCUL DE LA REPONSE DYNAMIQUE DES CHEMINEES D’EQUILIBRE

Abstract

The computation unsteady flow in a pressurized hydraulic system presents many difficulties as well on the practical level as theoretical. In this work, a numerical approach based on the finite volumes method is presented for the simulation of the dynamic response of surge tank. After having presented the hyperbolic differential equations governing the elastic wave propagation, the discretization details of the mathematical model meaning Godunov scheme are given as well as the integration of the source term and the implementation of the boundary conditions. The application covers a typical hydro-electric power plant protected by a surge tank. The results are analyzed and compared with the simplified mass oscillation theory largely used in certain cases.