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

Steve Bryson; Yekaterina Epshteyn; Alexander Kurganov; Guergana Petrova

ESAIM: Mathematical Modelling and Numerical Analysis (2011)

- 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 45.3 (2011): 423-446. <http://eudml.org/doc/197429>.

@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},

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

language = {eng},

month = {1},

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/197429},

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

DA - 2011/1//

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; hyperbolic systems of conservation and balance laws; Saint-Venant system of shallow water equations

UR - http://eudml.org/doc/197429

ER -

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