Flux-corrected transport technique for open channel flow

Scott A. Yost, Prasad M.S.V. Rao

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

In modeling flow in open channels, the traditional finite difference/finite volume schemes become inefficient and warrant special numerical treatment in the presence of shocks and discontinuities. The numerical oscillations that arise by making use of a second- and higher-order schemes require some additional smoothing mechanism. A characteristic feature of high-resolution schemes lies in smooth capturing of the shock fronts. This paper provides a general formulation for a flux-corrected transport algorithm to the one-dimensional open channel flow equations. The preliminary results presented show that the present algorithm is an efficient, conservative and robust tool that can be easily coded. To demonstrate the robustness of the present formulation, results are compared with other published numerical results, experimental data and analytical solutions when available. In particular, a comprehensive study on the effect of the source term, dry bed, variable width channel, steep sloping channel and flow with mixed flow conditions (as in a hydraulic jump) has been carried out to test the efficacy of the present algorithm.

Original languageEnglish
Pages (from-to)951-973
Number of pages23
JournalInternational Journal for Numerical Methods in Fluids
Volume29
Issue number8
DOIs
StatePublished - Apr 30 1999

Keywords

  • Dry/wet bed
  • Finite difference
  • Flux correction
  • Hydraulic jump
  • Numerical modeling
  • Open channel
  • Surge

ASJC Scopus subject areas

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

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