@Article{CastroDiaz2008e,
  author   = {Castro D{\'i}az, Manuel J. and Chac{\'o}n-Rebollo, T. and Fern{\'a}ndez Nieto, E. D. and Gonz{\'a}lez-Vida, J.-M. and Par{\'e}s, Carlos},
  journal  = {Comput. Methods Appl. Mech. Engrg.},
  title    = {{W}ell-balanced finite volume schemes for 2d non-homogeneous hyperboli systems. {A}pplication to the dam break of {A}znalc{\'o}llar},
  year     = {2008},
  number   = {45-48},
  pages    = {3932–3950},
  volume   = {197},
  abstract = {In this paper, we introduce a class of well-balanced finite volume schemes for 2D non-homogeneous hyperbolic systems. We extend the derivation of standard finite volume solvers for homogeneous systems to non-homogeneous ones using the method of lines. We study conservation and some well-balanced properties of the numerical scheme. We apply our solvers to shallow water equations: we prove that these exactly compute the water at rest solutions. We also perform some numerical tests by comparing with 1D solutions, simulating the formation of a hydraulic drop and a hydraulic jump, and studying a real dam break: Aznalc{\'o}llar, an ecological disaster that happened in the province of Seville, Spain in 1998},
  url      = {http://www.sciencedirect.com/science/article/pii/S0045782508001394},
}

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