A gas-kinetic scheme for shallow-water equations with source terms

Huazhong Tang*, Tao TANG, Kun Xu

*Corresponding author for this work

Research output: Contribution to journalJournal articlepeer-review

38 Citations (Scopus)


In this paper, the Kinetic Flux Vector Splitting (KFVS) scheme is extended to solving the shallow water equations with source terms. To develop a well-balanced scheme between the source term and the flow convection, the source term effect is accounted in the flux evaluation across cell interfaces. This leads to a modified gas-kinetic scheme with particular application to the shallow water equations with bottom topography. Numerical experiments show better resolution of the unsteady solution than conventional finite difference method and KFVS method with little additional cost. Moreover, some positivity properties of the gas-kinetic scheme is established.

Original languageEnglish
Pages (from-to)365-382
Number of pages18
JournalZeitschrift fur Angewandte Mathematik und Physik
Issue number3
Publication statusPublished - May 2004

Scopus Subject Areas

  • Mathematics(all)
  • Physics and Astronomy(all)
  • Applied Mathematics

User-Defined Keywords

  • Gas-kinetic schemes
  • Shallow water equations
  • Source terms


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