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

P. M. Jacovkis; E. G. Tabak

doi:10.1016/S0895-7177(96)00169-0

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

P. M. Jacovkis, E. G. Tabak

Mathematics

Research output: Contribution to journal › Article › peer-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 language	English (US)
Pages (from-to)	1-21
Number of pages	21
Journal	Mathematical and Computer Modelling
Volume	24
Issue number	11
DOIs	https://doi.org/10.1016/S0895-7177(96)00169-0
State	Published - 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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10.1016/S0895-7177(96)00169-0

Cite this

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title = "A kinematic wave model for rivers with flood plains and other irregular geometries",

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.",

keywords = "Conservation laws, Flood plains, Flood waves, Kinematic waves",

author = "Jacovkis, {P. M.} and Tabak, {E. G.}",

note = "Funding Information: *The author gratefully acknowledges the support of the Universidad de Buenos Aires through Grant EX107. t Work partially supported by the National Science Foundation through Grant DMS 9501073.",

year = "1996",

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T1 - A kinematic wave model for rivers with flood plains and other irregular geometries

AU - Jacovkis, P. M.

AU - Tabak, E. G.

N1 - Funding Information: *The author gratefully acknowledges the support of the Universidad de Buenos Aires through Grant EX107. t Work partially supported by the National Science Foundation through Grant DMS 9501073.

PY - 1996/12

Y1 - 1996/12

N2 - 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.

AB - 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.

KW - Conservation laws

KW - Flood plains

KW - Flood waves

KW - Kinematic waves

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JO - Mathematical and Computer Modelling

JF - Mathematical and Computer Modelling

IS - 11

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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