Well-balanced positivity preserving central-upwind scheme with a novel wet/dry reconstruction on triangular grids for the Saint-Venant system

@article{Liu2018WellbalancedPP,
  title={Well-balanced positivity preserving central-upwind scheme with a novel wet/dry reconstruction on triangular grids for the Saint-Venant system},
  author={Xin Liu and Jason Albright and Yekaterina Epshteyn and Alexander Kurganov},
  journal={J. Comput. Physics},
  year={2018},
  volume={374},
  pages={213-236}
}
Abstract In this paper, we construct an improved well-balanced positivity preserving central-upwind scheme for the two-dimensional Saint-Venant system of shallow water equations. As in Bryson et al. (2011) [7] , our scheme is based on a continuous piecewise linear discretization of the bottom topography over an unstructured triangular grid. The main new technique is a special reconstruction of the water surface in partially flooded cells. This reconstruction is an extension of the one… CONTINUE READING
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SHOWING 1-10 OF 48 REFERENCES

M

A. Bollermann, S. Noelle
  • Lukáčová-Medvid’ová, Finite volume evolution Galerkin methods for the shallow water equations with dry beds, Commun. Comput. Phys. 10
  • 2011
VIEW 4 EXCERPTS
HIGHLY INFLUENTIAL