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On well-balanced finite volume methods for non-conservative non-homogeneous hyperbolic systems [Article]
(Society for Industrial and Applied Mathematics, 2007)
In this work we introduce a general family of finite volume methods for non-homogeneous hyperbolic systems with non-conservative terms. We prove that all of them are “asymptotically well-balanced”: They preserve all smooth ...
Well-balanced finite volume schemes for 2D non-homogeneous hyperbolic systems. Application to the dam-break of Aznalcóllar. [Article]
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 ...