@Article{berthon2015efficient,
  author   = {Berthon, Christophe and Foucher, Fran{\c{c}}oise and Morales de Luna, Tom{\'a}s},
  title    = {{A}n efficient splitting technique for two-layer shallow-water model},
  journal  = {Numerical Methods for Partial Differential Equations},
  year     = {2015},
  abstract = {We consider the numerical approximation of the weak solutions of the two-layer shallow-water equations. The model under consideration is made of two usual one-layer shallow-water model coupled by nonconservative products. Because of the nonconservative products of the system, which couple both one-layer shallow-water subsystems, the usual numerical methods have to consider the full model. Of course, uncoupled numerical techniques, just involving finite volume schemes for the basic shallow-water equations, are very attractive since they are very easy to implement and they are costless. Recently, a stable layer splitting technique was introduced [Bouchut and Morales de Luna, M2AN Math Model Numer Anal 42 (2008), 683–698]. In the same spirit, we exhibit new splitting technique, which is proved to be well balanced and non-negative preserving. The main benefit issuing from the here derived uncoupled method is the ability to correctly approximate the solution of very severe benchmarks.},
}

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