A kinematic wave model for rivers with flood plains and other irregular geometries

P. M. Jacovkis, E. G. Tabak

Research output: Contribution to journalArticlepeer-review

Abstract

A general kinematic wave model for flood propagation is presented in the form of a scalar conservation law. The corresponding flux function is convex or nearly convex for regular cross-sections of the river. In the presence of pronounced irregularities, however, convexity may fail. Qualitative consequences of the shape of the flux function for typical irregularities are discussed, particularly for rivers with flood plains and rivers trapped in canyons.

Original languageEnglish (US)
Pages (from-to)1-21
Number of pages21
JournalMathematical and Computer Modelling
Volume24
Issue number11
DOIs
StatePublished - Dec 1996

Keywords

  • Conservation laws
  • Flood plains
  • Flood waves
  • Kinematic waves

ASJC Scopus subject areas

  • Modeling and Simulation
  • Computer Science Applications

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