Numerical investigation of turbulent shallow recirculating flows by a quasi-three-dimensional k-∈ model

Chi Wai Li, T. S. Yu

Research output: Journal article publicationJournal articleAcademic researchpeer-review

18 Citations (Scopus)


A quasi-three-dimensional multilayer k-∈ model has been developed to simulate turbulent recirculating flows behind a sudden expansion in shallow waters. The model accounts for the vertical variation in the flow quantities and eliminates the problem of closure for the effective stresses resulting from the depth integration of the nonlinear convective accelerations found in the widely used depth-integrated models. The governing equations are split into three parts in the finite difference solution: advection, dispersion and propagation. The advection part is solved using the four-node minimax-characteristics method. The dispersion and propagation parts are treated by the central difference method, the former being solved explicitly and the latter implicitly using the Gauss-Seidel iteration method. The relative effect of bed-generated turbulence and transverse shear-generated turbulence on the recirculating flow has been studied in detail. In comparison with the results computed by the depth-integrated k-∈ model, the results computed by the present model are found to be closer to the reported data.
Original languageEnglish
Pages (from-to)485-501
Number of pages17
JournalInternational Journal for Numerical Methods in Fluids
Issue number5
Publication statusPublished - 15 Sept 1996


  • Multilayer model
  • Shallow recirculating flow
  • Turbulence model

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Computer Science Applications
  • Applied Mathematics


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