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Artículo
Multilayer shallow water models with locally variable number of layers and semi-implicit time discretization
(Elsevier Inc., 2018)
We propose an extension of the discretization approaches for multilayer shallow water models, aimed at making them more flexible and efficient for realistic applications to coastal flows. A novel discretization approach ...
Artículo
A multilayer shallow model for dry granular ows with the (I)-rheology: application to granular collapse on erodible beds
(Cambridge University Press, 2016)
In this work we present a multilayer shallow model to approximate the Navier–Stokes equations with the μ(I)μ(I)-rheology through an asymptotic analysis. The main advantages of this approximation are (i) the low cost ...
Artículo
A semi-implicit approach for sediment transport models with gravitational effects
(Elsevier, 2022)
In this work efficient semi-implicit methods for sediment bedload transport models with gravitational effects under subcritical regimes is proposed. Several families of models with gravitational effects are presented and ...
Artículo
Multilayer models for shallow two-phase debris flows with dilatancy effects
(Elsevier, 2020)
We present here a multilayer model for shallow grain-fluid mixtures with dilatancy effects. It can be seen as a generalization of the depth-averaged model presented in Bouchut et al. (2016) [6], that includes dilatancy ...
Artículo
2D granular flows with the μ(I) rheology and side walls friction: A well-balanced multilayer discretization
(Elsevier Inc., 2018-03)
We present here numerical modelling of granular flows with the rheology in confined channels. The contribution is twofold: (i) a model to approximate the Navier–Stokes equations with the rheology through an asymptotic ...