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Browsing by Author "Fernández Nieto, Enrique Domingo"
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2D granular flows with the μ(I) rheology and side walls friction: A wellbalanced multilayer discretization [Article]
Fernández Nieto, Enrique Domingo; Garres Díaz, José; Mangeney, Anne; Narbona Reina, Gladys (Elsevier Inc., 201803)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 ...

A Class of Computationally Fast First Order Finite Volume Solvers: PVM Methods [Article]
Castro Díaz, Manuel Jesús; Fernández Nieto, Enrique Domingo (Society for Industrial and Applied Mathematics, 2012)In this work, we present a class of fast first order finite volume solvers, named as PVM (Polynomial Viscosity Matrix), for balance laws or, more generally, for nonconservative hyperbolic systems. They are defined in terms ...

A consistent intermediate wave speed for a wellbalanced HLLC solver. [Article]
Fernández Nieto, Enrique Domingo; Bresch, Didier; Monnier, J. (GauthierVillars, 2008)In this work, we present a HLLC scheme modification for application to nonhomogeneous shallowwater equations with pollutant transport. This new version is related to the definition of a consistent approximation of the ...

A HLLC scheme for nonconservative hyperbolic problems. Application to turbidity currents with sediment transport. [Article]
Castro Díaz, Manuel Jesús; Fernández Nieto, Enrique Domingo; Morales de Luna, Tomás; Narbona Reina, Gladys; Parés Madroñal, Carlos (Cambridge University Press, 2013)This paper focuses on the generalization of the HLLC Riemann solver for nonconservative problems. First, the general ideas of the extension of the HLLC solvers for nonconservative systems are discussed. Then, two particular ...

A multilayer method for the hydrostatic NavierStokes equations: a particular weak solution [Article]
Fernández Nieto, Enrique Domingo; Koné, E.H.; Chacón Rebollo, Tomás (Ed. Plenum Press, 2014)In this work we present a mutilayer approach to the solution of nonstationnary 3D NavierStokes equations. We use piecewise smooth weak solutions. We approximate the velocity by a piecewise constant (in z) horizontal ...

A multilayer shallow model for dry granular ows with the (I)rheology: application to granular collapse on erodible beds [Article]
Fernández Nieto, Enrique Domingo; Garrés Díaz, J.; Mangeney, A.; Narbona Reina, Gladys (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 ...

A multilayer shallow water system for polydisperse sedimentation [Article]
Fernández Nieto, Enrique Domingo; Koné, E.H.; Morales de Luna, Tomás; Bürger, R. (Elsevier, 2013)This work considers the flow of a fluid containing one disperse substance consisting of small particles that belong to different species differing in size and density. The flow is modelled by combining a multilayer shallow ...

A new SavageHutter type model for submarine avalanches and generated tsunami [Article]
Fernández Nieto, Enrique Domingo; Bouchut, F.; Bresch, Didier; Castro Díaz, Manuel Jesús; Mangeney, A. (Elsevier, 2008)In this paper we present a new twolayer model of SavageHutter type to study submarine avalanches. A layer composed of fluidized granular material is assumed to flow within an upper layer composed of an inviscid fluid (e. ...

A second order pvm flux limiter method. Application to magnetohydrodynamics and shallow stratified flows [Article]
Castro Díaz, Manuel Jesús; Fernández Nieto, Enrique Domingo; Narbona Reina, Gladys; Asunción, M. de la (Academic Press, 2014)In this work we propose a second order flux limiter finite volume method, named PVM2UFL, that only uses information of the two external waves of the hyperbolic system. This method could be seen as a natural extension of ...

A twolayer shallow flow model with two axes of integration, wellbalanced discretization and application to submarine avalanches [Article]
Delgado Sánchez, Juan Manuel; Bouchut, François; Fernández Nieto, Enrique Domingo; Mangeney, Anne; Narbona Reina, Gladys (Elsevier, 20200401)We propose a twolayer model with two different axes of integration and a wellbalanced finite volume method. The purpose is to study submarine avalanches and generated tsunamis by a depthaveraged model with different ...

A twophase shallow debris flow model with energy balance [Article]
Bouchut, F.; Fernández Nieto, Enrique Domingo; Mangeney, A.; Narbona Reina, Gladys (2015)This paper proposes a thin layer depthaveraged twophase model provided by a dissipative energy balance to describe avalanches of solidfluid mixtures. This model is derived from a 3D twophase model based on the equations ...

A twophase solidfluid model for dense granular flows including dilatancy effects: comparison with submarine granular collapse experiments [Presentation]
Bouchut, F.; Fernández Nieto, Enrique Domingo; Koné, E.H.; Mangeney, A.; Narbona Reina, Gladys (2017)We simulate here the collapse of granular columns immersed in a viscous fluid based on a simplified version of the model developed by [2]. The simulation quite well reproduces the dynamics and deposit of the granular ...

A twophase twolayer model for fluidized granular flows with dilatancy effects [Article]
Bouchut, François; Fernández Nieto, Enrique Domingo; Mangeney, Anne; Narbona Reina, Gladys (Cambridge University Press, 2016)We propose a twophase twothinlayer model for fluidized debris flows that takes into account dilatancy effects, based on the closure relation proposed by Roux & Radjai (Physics of Dry Granular Media, 1998, Springer, pp. ...

A wellbalanced finite volumeaugmented lagrangian method for an integrated HerschelBulkley model [Article]
AcaryRobert, C.; Fernández Nieto, Enrique Domingo; Narbona Reina, Gladys; Vigneaux, Paul (Plenum Press, 2012)We are interested in the derivation of an integrated HerschelBulkley model for shallow flows, as well as in the design of a numerical algorithm to solve the resulting equations. The goal is to simulate the evolution of ...

An Efficient TwoLayer Nonhydrostatic Approach for Dispersive Water Waves [Article]
Escalante, C.; Fernández Nieto, Enrique Domingo; Morales de Luna, Tomás; Castro Díaz, Manuel Jesús (Springer, 2019)In this paper, we propose a twolayer depthintegrated nonhydrostatic system with improved dispersion relations. This improvement is obtained through three free parameters: two of them related to the representation of ...

An energetically consistent viscous sedimentation model [Article]
Zabsonré, J.D.; Lucas, C.; Fernández Nieto, Enrique Domingo (World Scientific Publishing, 2009)In this paper we consider a two dimensional viscous sedimentation model which is a viscous ShallowWater system coupled with a di usive equation that describes the evolution of the bottom. For this model, we prove the ...

An Entropycorrection free solver for nonhomogeneous Shallow Water equations [Article]
Chacón Rebollo, Tomás; Domínguez Delgado, Antonio; Fernández Nieto, Enrique Domingo (Dunod, 2003)In this work we introduce an accurate solver for the Shallow Water equations with source terms. This scheme does not need any kind of entropy correction to avoid instabilities near critical points. The scheme also solves ...

An MPICUDA implementation of an improved Roe method for twolayer shallow water systems [Article]
Asunción, M. de la; Mantas, José Miguel; Castro Díaz, Manuel Jesús; Fernández Nieto, Enrique Domingo (Elsevier, 2012)The numerical solution of twolayer shallow water systems is required to simulate accurately stratified fluids, which are ubiquitous in nature: they appear in atmospheric flows, ocean currents, oil spills, . . . Moreover, ...

Aproximación numérica de leyes de consevación hiperbólicas no homogéneas aplicación a las ecuaciones de aguas someras [PhD Thesis]
Fernández Nieto, Enrique Domingo (2003) 
Coupling superposed 1D and 2D shallowwater models: Source terms in finite volume schemes [Article]
Fernández Nieto, Enrique Domingo; Marin, J.; Monnier, J. (Elsevier, 2010)We study the superposition of 1D and 2D shallowwater equations with nonflat topographies, in the context of riverflood modeling. Since we superpose both models in the bidimensional areas, we focus on the definition of ...