# Well-balanced positivity preserving central-upwind scheme on triangular grids for the Saint-Venant system

Steve Bryson; Yekaterina Epshteyn; Alexander Kurganov; Guergana Petrova

- Volume: 45, Issue: 3, page 423-446
- ISSN: 0764-583X

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topBryson, Steve, et al. "Well-balanced positivity preserving central-upwind scheme on triangular grids for the Saint-Venant system." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 45.3 (2011): 423-446. <http://eudml.org/doc/273245>.

@article{Bryson2011,

abstract = {We introduce a new second-order central-upwind scheme for the Saint-Venant system of shallow water equations on triangular grids. We prove that the scheme both preserves “lake at rest” steady states and guarantees the positivity of the computed fluid depth. Moreover, it can be applied to models with discontinuous bottom topography and irregular channel widths. We demonstrate these features of the new scheme, as well as its high resolution and robustness in a number of numerical examples.},

author = {Bryson, Steve, Epshteyn, Yekaterina, Kurganov, Alexander, Petrova, Guergana},

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

keywords = {hyperbolic systems of conservation and balance laws; semi-discrete central-upwind schemes; Saint-Venant system of shallow water equations},

language = {eng},

number = {3},

pages = {423-446},

publisher = {EDP-Sciences},

title = {Well-balanced positivity preserving central-upwind scheme on triangular grids for the Saint-Venant system},

url = {http://eudml.org/doc/273245},

volume = {45},

year = {2011},

}

TY - JOUR

AU - Bryson, Steve

AU - Epshteyn, Yekaterina

AU - Kurganov, Alexander

AU - Petrova, Guergana

TI - Well-balanced positivity preserving central-upwind scheme on triangular grids for the Saint-Venant system

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

PY - 2011

PB - EDP-Sciences

VL - 45

IS - 3

SP - 423

EP - 446

AB - We introduce a new second-order central-upwind scheme for the Saint-Venant system of shallow water equations on triangular grids. We prove that the scheme both preserves “lake at rest” steady states and guarantees the positivity of the computed fluid depth. Moreover, it can be applied to models with discontinuous bottom topography and irregular channel widths. We demonstrate these features of the new scheme, as well as its high resolution and robustness in a number of numerical examples.

LA - eng

KW - hyperbolic systems of conservation and balance laws; semi-discrete central-upwind schemes; Saint-Venant system of shallow water equations

UR - http://eudml.org/doc/273245

ER -

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