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

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. EDP Sciences, SMAI, 2010.

authors

• Petrova, Guergana

published proceedings

• ESAIM Mathematical Modelling and Numerical Analysis

author list (cited authors)

• Bryson, S., Epshteyn, Y., Kurganov, A., & Petrova, G.

citation count

• 76

complete list of authors

• Bryson, Steve||Epshteyn, Yekaterina||Kurganov, Alexander||Petrova, Guergana

publication date

• May 2011

publisher

• EDP Sciences  Publisher

published in

• n0764-583XISSN  Journal

keywords

• 49 Mathematical Sciences
• 4901 Applied Mathematics

Digital Object Identifier (DOI)

• 10.1051/m2an/2010060

URI

• https://hdl.handle.net/1969.1/184513

start page

• 423

end page

• 446

volume

• 45

issue

• 3

URL

• http://dx.doi.org/10.1051/m2an/2010060