Godunov-type solutions with discrete gas cavity model for transient cavitating pipe flow

Ling Zhou, Huan Wang, Anton Bergant, Arris S. Tijsseling, Deyou Liu, Su Guo

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To simulate transient cavitating pipe flow, the discrete gas cavity model (DGCM) is combined with first-order and second-order finite-volume method (FVM) Godunov-type schemes. The earlier discrete vapor cavity model (DVCM) and DGCM based on the method of characteristics (MOC) are known to produce unrealistic pressure spikes. The new FVM-DGCM extends the previously developed FVM-DVCM through the introduction of a very small amount of free gas at the middle of each computation cell. Importantly, a pressure adjustment procedure is proposed to establish the relation between the cavity and the halves of the reach. Predictions of FVM-DGCM are compared with those of FVM-DVCM and MOC-DGCM and with experimental data. Results show that the proposed model reproduces the experimental pressure histories considerably better than the other two models. In particular, it produces fewer spikes, but-as in the old models-the first pressure peak due to cavity collapse is predicted much better than the subsequent peaks. The second-order FVM-DGCM is found to be accurate and robust, even for Courant numbers significantly less than 1.

Original languageEnglish
Article number04018017
JournalJournal of Hydraulic Engineering
Issue number5
Publication statusPublished - 1 May 2018


  • Discrete gas cavity model
  • Finite volume method
  • Godunov-type scheme
  • Pipe flow
  • Vaporous cavitation


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