50 citations · 153 across the 8 of their papers we have counts for
8 papers
A transient depth-averaged lava flow model with a Herschel-Bulkley rheology accounting for three phases
Julie Binard, Alain Burgisser, Enrique D. Fernández-Nieto +1
This study presents a three-phase suspension lava flow model with a Herschel-Bulkley rheology. The suspension contains crystals and gas bubbles, and two closures for the evolution…
A third-order finite volume semi-implicit method for the Shallow Water-Exner model
Enrique D. Fernandez-Nieto, Jose Garres-Diaz, Emanuele Macca +1
In this work, third-order semi-implicit schemes on staggered meshes for the shallow water and Saint-Venant-Exner systems are presented. They are based on a third-order extension of…
Well-balanced POD-based reduced-order models for finite volume approximation of hyperbolic balance laws
I. Gómez-Bueno, E. D. Fernández-Nieto, S. Rubino
This paper introduces a reduced-order modeling approach based on finite volume methods for hyperbolic systems, combining Proper Orthogonal Decomposition (POD) with the Discrete Emp…
A weakly non-hydrostatic shallow model for dry granular flows
José Garres-Díaz, Enrique D. Fernández-Nieto, Anne Mangeney +1
A non-hydrostatic depth-averaged model for dry granular flows is proposed, taking into account vertical acceleration. A variable friction coefficient based on the rheology i…
Multilayer models for shallow two-phase debris flows with dilatancy effects
José Garres-Díaz, François Bouchut, Enrique D. Fernández-Nieto +2
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 a…
Multilayer shallow water models with locally variable number of layers and semi-implicit time discretization
Luca Bonaventura, Enrique D. Fernández-Nieto, José Garres-Díaz +1
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…
2D granular flows with the rheology and side walls friction: a well balanced multilayer discretization
E. D. Fernández-Nieto, J. Garres-Díaz, A. Mangeney +1
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 equat…
Formal deduction of the Saint-Venant-Exner model including arbitrarily sloping sediment beds and associated energy
E. D. Fernández-Nieto, T. Morales de Luna, G. Narbona-Reina +1
In this work we present a deduction of the Saint-Venant-Exner model through an asymptotic analysis of the Navier-Stokes equations. A multi-scale analysis is performed in order to t…