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

P. M. Jacovkis, Esteban Tabak

Research output: Contribution to journalArticle

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

Fingerprint

Irregular
Kinematics
Rivers
Irregularity
Geometry
Fluxes
Scalar Conservation Laws
Convexity
Conservation
Cross section
Model
Propagation
Form
Conservation laws

Keywords

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

ASJC Scopus subject areas

  • Information Systems and Management
  • Control and Systems Engineering
  • Applied Mathematics
  • Computational Mathematics
  • Modeling and Simulation

Cite this

A kinematic wave model for rivers with flood plains and other irregular geometries. / Jacovkis, P. M.; Tabak, Esteban.

In: Mathematical and Computer Modelling, Vol. 24, No. 11, 12.1996, p. 1-21.

Research output: Contribution to journalArticle

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