Numerical studies of two-phase water hammer flows using Godunov methods

Abdelmjid Qadi El Idrissi (1) , Eric Goncalves da Silva (2) , Dia Zeidan (3)

1 University Hassan 1st
2 2AT - Acoustique, Aérodynamique, Turbulence [Institut Pprime]
3 GJU - German Jordanian University

In this paper, an explicit finite volume Godunov-type scheme is applied for a two-phase homogeneous water hammer flow model. The developed finite volume method is based on an exact Riemann solver for a gas–liquid two-phase flow model. This paper investigates the case of a water hammer problem caused by a rapid closing valve located in upstream of the pipeline. The performance of the proposed numerical method is validated against experimental data from literature. The good agreement found between the numerical and experimental results confirms the accuracy and the robustness of both the numerical methods and the proposed exact Riemann solver.

Mots clés: Water hammer; Two-phase flows; Riemann problem; Godunov methods

Domaines: Mécanique des fluides [physics.class-ph]

Abdelmjid Qadi El Idrissi, Eric Goncalves da Silva, Dia Zeidan. Numerical studies of two-phase water hammer flows using Godunov methods. Annals of Nuclear Energy, 2023, 182, pp.109578. ⟨10.1016/j.anucene.2022.109578⟩. ⟨hal-03878775⟩