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Artículo
Layer-averaged approximation of Navier-Stokes system with complex rheologies
(EDP Sciences / Société de Mathématiques Appliquées et Industrielles, 2023)
In this work, we present a family of layer-averaged models for the Navier–Stokes equations. For its derivation, we consider a layerwise linear vertical profile for the horizontal velocity component. As a particular case, ...
Artículo
Non-hydrostatic layer-averaged approximation of Euler system with enhanced dispersion properties
(Springer Nature, 2023)
A new family of non-hydrostatic layer-averaged models for the non-stationary Euler equations is presented in this work, with improved dispersion relations. They are a generalisation of the layer-averaged models introduced ...
Artículo
Discussion on different numerical treatments on the loss of hyperbolicity for the two-layer shallow water system
(Elsevier, 2023)
This paper focus on the numerical approximation of two-layer shallow water system. First, a new approximation of the eigenvalues of the system is proposed, which satisfies some interesting properties. From this approximation, ...
Artículo
Multilayer shallow model for dry granular flows with a weakly non-hydrostatic pressure
(Springer, 2023)
The multilayer model proposed in this paper is a generalization of the multilayer non-hydrostatic model for shallow granular flows (Fernández-Nieto et al in Commun Math Sci 16(5):1169–1202, 2018. https://doi.org/10.4310/ ...