# A central scheme for shallow water flows along channels with irregular geometry

- Volume: 43, Issue: 2, page 333-351
- ISSN: 0764-583X

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topBalbás, Jorge, and Karni, Smadar. "A central scheme for shallow water flows along channels with irregular geometry." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 43.2 (2009): 333-351. <http://eudml.org/doc/246108>.

@article{Balbás2009,

abstract = {We present a new semi-discrete central scheme for one-dimensional shallow water flows along channels with non-uniform rectangular cross sections and bottom topography. The scheme preserves the positivity of the water height, and it is preserves steady-states of rest (i.e., it is well-balanced). Along with a detailed description of the scheme, numerous numerical examples are presented for unsteady and steady flows. Comparison with exact solutions illustrate the accuracy and robustness of the numerical algorithm.},

author = {Balbás, Jorge, Karni, Smadar},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},

keywords = {hyperbolic systems of conservation and balance laws; semi-discrete schemes; Saint-Venant system of shallow water equations; non-oscillatory reconstructions; channels with irregular geometry; Saint-Venant equations},

language = {eng},

number = {2},

pages = {333-351},

publisher = {EDP-Sciences},

title = {A central scheme for shallow water flows along channels with irregular geometry},

url = {http://eudml.org/doc/246108},

volume = {43},

year = {2009},

}

TY - JOUR

AU - Balbás, Jorge

AU - Karni, Smadar

TI - A central scheme for shallow water flows along channels with irregular geometry

JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

PY - 2009

PB - EDP-Sciences

VL - 43

IS - 2

SP - 333

EP - 351

AB - We present a new semi-discrete central scheme for one-dimensional shallow water flows along channels with non-uniform rectangular cross sections and bottom topography. The scheme preserves the positivity of the water height, and it is preserves steady-states of rest (i.e., it is well-balanced). Along with a detailed description of the scheme, numerous numerical examples are presented for unsteady and steady flows. Comparison with exact solutions illustrate the accuracy and robustness of the numerical algorithm.

LA - eng

KW - hyperbolic systems of conservation and balance laws; semi-discrete schemes; Saint-Venant system of shallow water equations; non-oscillatory reconstructions; channels with irregular geometry; Saint-Venant equations

UR - http://eudml.org/doc/246108

ER -

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