A well-balanced positivity preserving second-order scheme for shallow water flows on unstructured meshes

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A novel multidimensional solution reconstruction and edge‐based limiting procedure for unstructured cell‐centered finite volumes with application to shallow water dynamics (2013, background): “nonlinear slope limiter [23, 33], usually reserved for node-centered (vertex centered) FV schemes [9, 10, 47, 52, 53], will be the ‘prototype’ of such limiter functions.”
A multilayer Saint-Venant system with mass exchanges for shallow water flows. Derivation and numerical validation* (2009, methodology): “The process to obtain the kinetic interpretation of the multilayer model is similar to the one used in [3] for the monolayer shallow water system.”