2D shallow water flow model for the hydraulic jump

J. G. Zhou, P. K. Stansby

    Research output: Contribution to journalArticlepeer-review


    A flow model is presented for predicting a hydraulic jump in a straight open channel. The model is based on the general 2D shallow water equations in strong conservation form, without artificial viscosity, which is usually incorporated into the flow equations to capture a hydraulic jump. The equations are discretised using the finite volume method. The results are compared with experimental data and available numerical results, and have shown that the present model can provide good results. The model is simple and easy to implement. To demonstrate the potential application of the model, several hydraulic jumps occurring in different situations are simulated, and the predictions are in good agreement with standard solution for open channel hydraulics.
    Original languageEnglish
    Pages (from-to)375-387
    Number of pages12
    JournalInternational Journal for Numerical Methods in Fluids
    Issue number4
    Publication statusPublished - 28 Feb 1999


    • Finite volume method
    • Hydraulic jump
    • Open channel flow
    • Shallow water flow


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