A new model of Saint Venant and Savage–Hutter type for gravity driven shallow water flows

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Granular and particle-laden flows: from laboratory experiments to field observations (2017, methodology): “(2008)) or by using visco-plastic models with a yield stress separating static and flowing zones (Bouchut et al. (2016), Lusso et al. (2015a)). Assuming thin-layer flows together with averaging the equations over the depth of the flow makes it possible to further reduce the computational cost as pro”
Gravity driven shallow water models for arbitrary topography (2004, methodology): “3 is more general and is valid without this assumption, generalizing the one-dimensional model of [2].”
A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows (2004, unknown): “Key-words: Shallow water equations, finite volume schemes, well-balanced schemes Mathematics Subject Classification: 65M12, 76M12, 35L65”
Derivation of a new two-dimensional viscous shallow water model with varying topography, bottom friction and capillary effects (2007, background): “A study of gravity driven shallow water flows without any restriction on the topography can be found for instance in [ 6 ] and [7].”