TY - JOUR
T1 - Well-balanced positivity preserving central-upwind scheme on triangular grids for the Saint-Venant system
AU - Bryson, Steve
AU - Epshteyn, Yekaterina
AU - Kurganov, Alexander
AU - Petrova, Guergana
N1 - KAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): KUS-C1-016-04
Acknowledgements: The research of Y. Epshteyn is based upon work supported by the Center for Nonlinear Analysis (CNA) under the NSF Grant # DMS-0635983. The research of A. Kurganov was supported in part by the NSF Grant # DMS-0610430. The research of G. Petrova was supported in part by the NSF Grant # DMS-0810869 and Award # KUS-C1-016-04, made by King Abdullah University of Science and Technology (KAUST).
This publication acknowledges KAUST support, but has no KAUST affiliated authors.
PY - 2010/10/11
Y1 - 2010/10/11
N2 - 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. © EDP Sciences, SMAI, 2010.
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. © EDP Sciences, SMAI, 2010.
UR - http://hdl.handle.net/10754/600189
UR - http://www.esaim-m2an.org/10.1051/m2an/2010060
UR - http://www.scopus.com/inward/record.url?scp=79952553523&partnerID=8YFLogxK
U2 - 10.1051/m2an/2010060
DO - 10.1051/m2an/2010060
M3 - Article
SN - 0764-583X
VL - 45
SP - 423
EP - 446
JO - ESAIM: Mathematical Modelling and Numerical Analysis
JF - ESAIM: Mathematical Modelling and Numerical Analysis
IS - 3
ER -