Well-balanced central WENO schemes for the sediment transport model in shallow water

Shouguo Qian, Gang Li*, Fengjing Shao, Qiang Niu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)


Sediment transport model in shallow water admits steady-state solutions in which the non-zero flux gradient is exactly balanced by the source term. In this paper, we develop high-order well-balanced central weighted essentially non-oscillatory schemes for the sediment transport model. In order to maintain the well-balanced property, we first reformulate the governing equations by an equivalent form and propose a novel reconstruction procedure for the Runge-Kutta flux. Rigorous theoretical analysis as well as extensive numerical examples all suggest that the present schemes preserve the well-balanced property. Moreover, the resulting schemes keep genuine high-order accuracy for general solutions.

Original languageEnglish
Pages (from-to)763-773
Number of pages11
JournalComputational Geosciences
Issue number3
Publication statusPublished - 1 Jun 2018


  • Central weighted essentially non-oscillatory schemes
  • Sediment transport model
  • Source term
  • Well-balanced property

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