Listar Departamento de Matemáticas por autor "89dd618f-9c8b-43e0-864d-8fc8d80394fd"

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    • 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 ...

    • Flexible and efficient discretizations of multilayer models with variable density 

      Garres-Díaz, José; Bonaventura, Luca (Elsevier, 2021)
      We show that the semi-implicit time discretization approaches previously introduced for multilayer shallow water models for the barotropic case can be also applied to the variable density case with Boussinesq approximation. ...

    • 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, ...

    • 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 ...

    • 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 ...

    • 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 ...

    • Shallow Water Moment Models for Bedload Transport Problems 

      Garres-Díaz, José; Castro Díaz, Manuel J.; Koellermeier, Julian; Morales de Luna, Tomás (Global Science Press, 2021)
      In this work a simple but accurate shallow model for bedload sediment transport is proposed. The model is based on applying the moment approach to the Shallow Water Exner model, making it possible to recover the vertical ...