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}
}
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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