# A Second-order Well-balanced Positivity Preserving Central-upwind Scheme for the Saint-venant System ∗

@inproceedings{Kurganov2007ASW, title={A Second-order Well-balanced Positivity Preserving Central-upwind Scheme for the Saint-venant System ∗}, author={Alexander Kurganov and Guergana Petrova}, year={2007} }

- Published 2007

A family of Godunov-type central-upwind schemes for the Saint-Venant system of shallow water equations has been first introduced in [A. Kurganov and D. Levy, M2AN Math. Model. Numer. Anal., 36 (2002), pp. 397–425]. Depending on the reconstruction step, the second-order versions of the schemes there could be made either well-balanced or positivity preserving, but fail to satisfy both properties simultaneously. Here, we introduce an improved second-order central-upwind scheme which, unlike its… CONTINUE READING

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