Efficient well-balanced hydrostatic upwind schemes for shallow-water equations

@article{Berthon2012EfficientWH,
  title={Efficient well-balanced hydrostatic upwind schemes for shallow-water equations},
  author={Christophe Berthon and Françoise Foucher},
  journal={J. Comput. Physics},
  year={2012},
  volume={231},
  pages={4993-5015}
}
The proposed work concerns the numerical approximations of the shallow-water equations with varying topography. The main objective is to introduce an easy and systematic technique to enforce the well-balance property and to make the scheme able to deal with dry areas. To access such an issue, the derived numerical method is obtained by involving the free surface instead of the water height and this produces the scheme well-balanced independently from the numerical flux function associated with… CONTINUE READING

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