• Multilayer Shallow Model for Dry Granular Flows with a Weakly Non-hydrostatic Pressure 

  Escalante, Cipriano; Fernández-Nieto, E.D.; Garres-Díaz, José; Mangeney, Anne (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/10.43 ...

• Multilayer models for hydrostatic Herschel-Bulkley viscoplastic flows 

  Fernández-Nieto, E.D.; Garres-Díaz, José; Vigneaux, P. (Elsevier, 2023)

  Starting from Navier-Stokes’ equation we derive two shallow water multilayer models for yield stress fluids, depending on the asymptotic analysis. One of them takes into account the normal stress contributions, making ...

• Non-hydrostatic layer-averaged approximation of Euler system with enhanced dispersion properties 

  Escalante, Cipriano; Fernández-Nieto, E.D.; Garres-Díaz, José; Morales de Luna, Tomás; Penel, Yohan (Springer, 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 ...

• Layer-averaged approximation of Navier–Stokes system with complex rheologies 

  Fernández-Nieto, E.D.; Garres-Díaz, José (EDP Sciences, 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, ...

• A general vertical decomposition of Euler equations: Multilayer-moment models 

  Garres-Díaz, José; Escalante, Cipriano; Castro Díaz, Manuel J.; Morales de Luna, Tomás (Elsevier, 2023)

  In this work, we present a general framework for vertical discretizations of Euler equations. It generalizes the usual moment and multilayer models and allows to obtain a family of multilayer-moment models. It considers a ...

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