Numerical simulation of overflow at vertical weirs using a hybrid level set/VOF method

Xin Lv, Qingping Zou*, Dominic E. Reeve

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

48 Citations (Scopus)
25 Downloads (Pure)


This paper presents the applications of a newly developed free surface flow model to the practical, while challenging overflow problems for weirs. Since the model takes advantage of the strengths of both the level set and volume of fluid methods and solves the Navier-Stokes equations on an unstructured mesh, it is capable of resolving the time evolution of very complex vortical motions, air entrainment and pressure variations due to violent deformations following overflow of the weir crest. In the present study, two different types of vertical weir, namely broad-crested and sharp-crested, are considered for validation purposes. The calculated overflow parameters such as pressure head distributions, velocity distributions, and water surface profiles are compared against experimental data as well as numerical results available in literature. A very good quantitative agreement has been obtained. The numerical model, thus, offers a good alternative to traditional experimental methods in the study of weir problems.

Original languageEnglish
Pages (from-to)1320-1334
Number of pages15
JournalAdvances in Water Resources
Issue number10
Publication statusPublished - Oct 2011


  • Broad-crested weir
  • Free surface
  • Overflow
  • Sharp-crested weir
  • Unstructured grid
  • VOF

ASJC Scopus subject areas

  • Water Science and Technology


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