Weighted averaged flux-type scheme for shallow-water equations with fractional step method

Dae Hong Kim, Yong Sik Cho, Woo Gu Kim

Research output: Contribution to journalArticlepeer-review

14 Scopus citations


A numerical model describing two-dimensional fluid motions has been developed on an unstructured grid system. By using a fractional step method, a two-dimensional problem governed by the two-dimensional shallow-water equations is treated as two one-dimensional problems. Thus it is possible to simulate two-dimensional numerical problems with a higher computational efficiency. One-dimensional problems are solved by using an upwind total variation diminishing version of the second-order weighted averaged flux method with an approximate Riemann solver. Numerical oscillations commonly observed in second-order numerical schemes are controlled by exploiting a flux limiter. For the general purpose, the model can simulate on an arbitrary topography, treat a moving boundary, and resolve a shock. Five ideal and practical problems are tested. Very accurate results are observed.

Original languageEnglish
Pages (from-to)152-160
Number of pages9
JournalJournal of Engineering Mechanics - ASCE
Issue number2
StatePublished - Feb 2004


  • Equation of motion
  • Fluid flow
  • Grid systems
  • Numerical models
  • Shallow water


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