APPLICATION OF THE FINITE VOLUME METHOD TO THE COMPUTATION OF WATER HAMMER PROTECTION

L. AMARA, A. BERREKSI, B. ACHOUR

Abstract


 

The computation unsteady flow in a pressurized hydraulic systempresents 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 water hammer problems. 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 where an approach in excentred grid is introduced. The application treats a case of pumping station protected by a throttled air vessel. The results are analyzed and compared with those obtained in experiments and also numerically by the method of the characteristics. The finite volume numerical model gave very satisfactory results compared to the method of the characteristics and where congruence with experimental measurements is appreciable.

 

Keywords


water hammer, numerical computation, finite volume method, Godunov scheme, air vessel

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References


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