On a well-balanced high-order finite volume scheme for shallow water equations with topography and dry areas. Gallardo, J., Parés, C., & Díaz, Manuel J., C. J. Comput. Phys., 227(1):574–601, 2007.
bibtex   
@Article{MR2361537,
  author  = {Gallardo, Jos{\’e}-M. and Par{\'e}s, Carlos and Castro D{\'i}az, Manuel J.},
  title   = {{O}n a well-balanced high-order finite volume scheme for shallow water equations with topography and dry areas},
  journal = {J. Comput. Phys.},
  year    = {2007},
  volume  = {227},
  number  = {1},
  pages   = {574–601},
}

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