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  2018 (3)
Multilayer shallow water models with locally variable number of layers and semi-implicit time discretization. Bonaventura, L.; Fernández-Nieto, E. D.; Garres-Díaz, J.; and Narbona-Reina, G. Journal of Computational Physics, 364: 209 - 234. 2018.
Multilayer shallow water models with locally variable number of layers and semi-implicit time discretization [link]Paper   doi   link   bibtex  
2D granular flows with the μ(I) rheology and side walls friction: A well-balanced multilayer discretization. Fernández-Nieto, E.; Garres-Díaz, J.; Mangeney, A.; and Narbona-Reina, G. Journal of Computational Physics, 356: 192 - 219. 2018.
2D granular flows with the μ(I) rheology and side walls friction: A well-balanced multilayer discretization [link]Paper   doi   link   bibtex   abstract  
Efficient numerical schemes for viscoplastic avalanches. Part 2: The 2D case. Fernández-Nieto, E. D.; Gallardo, J. M.; and Vigneaux, P. Journal of Computational Physics, 353(Supplement C): 460-490. 2018.
Efficient numerical schemes for viscoplastic avalanches. Part 2: The 2D case [link]Paper   doi   link   bibtex  
  2017 (3)
Derivation of a Multilayer Approach to Model Suspended Sediment Transport: Application to Hyperpycnal and Hypopycnal Plumes. Communications in Computational Physics, 22(5): 1439-1485. 2017.
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Numerical simulation of the 30-45 ka debris avalanche flow of Montagne Pelée volcano, Martinique: from volcano flank collapse to submarine emplacement. Brunet, M.; Moretti, L; Le Friant, A.; Mangeney, A.; Fernández-Nieto, E. D.; and Bouchut, F. , 87: 1189-1222. 06 2017.
Numerical simulation of the 30-45 ka debris avalanche flow of Montagne Pelée volcano, Martinique: from volcano flank collapse to submarine emplacement [link] paper   link   bibtex  
Formal deduction of the Saint-Venant-Exner model including arbitrarily sloping sediment beds and associated energy. Fernández-Nieto, E. D.; Morales de Luna, T.; Narbona-Reina, G.; and Zabsonré, J. D. D. ESAIM: M2AN, 51(1): 115-145. 2017.
Formal deduction of the Saint-Venant-Exner model including arbitrarily sloping sediment beds and associated energy [link] paper   doi   link   bibtex  
  2016 (2)
A two-phase two-layer model for fluidized granular flows with dilatancy effects. Bouchut, F.; Fernández-Nieto, E. D.; Mangeney, A.; and Narbona-Reina, G. Journal of Fluid Mechanics, 801: 166-221. August 2016.
A two-phase two-layer model for fluidized granular flows with dilatancy effects [link] paper   doi   link   bibtex  
A multilayer shallow model for dry granular flows with the ${\it\mu}(I)$ -rheology: application to granular collapse on erodible beds. Fernández-Nieto, E. D.; Garres-Díaz, J.; Mangeney, A.; and Narbona-Reina, G. Journal of Fluid Mechanics, 798: 643-681. 2016.
A multilayer shallow model for dry granular flows with the ${\it\mu}(I)$ -rheology: application to granular collapse on erodible beds [link] paper   doi   link   bibtex  
  2015 (2)
Numerical simulation of the temperature evolution in a room with a mur neutralisant. Application to "The City of Refuge" by Le Corbusier. Ramírez-Balas, C.; Fernández-Nieto, E. D.; Narbona-Reina, G.; Sendra, J.; and Suárez, R. Energy and Buildings, 86: 708-722. 2015. cited By 2
Numerical simulation of the temperature evolution in a room with a mur neutralisant. Application to "The City of Refuge" by Le Corbusier [link] paper   doi   link   bibtex  
A two-phase shallow debris flow model with energy balance. Bouchut, F.; Fernández-Nieto, E. D.; Mangeney, A.; and Narbona-Reina, G. ESAIM: Mathematical Modelling and Numerical Analysis, 49(1): 101 - 140. January 2015.
A two-phase shallow debris flow model with energy balance [link]Paper   A two-phase shallow debris flow model with energy balance [link] paper   doi   link   bibtex  
  2014 (4)
Efficient numerical schemes for viscoplastic avalanches. Part 1: the 1D case. Fernández-Nieto, E. D.; Gallardo, J.; and Vigneaux, P. Journal of Computational Physics, 264: 55-90. January 2014.
Efficient numerical schemes for viscoplastic avalanches. Part 1: the 1D case [link] paper   doi   link   bibtex  
A second order PVM flux limiter method. Application to magnetohydrodynamics and shallow stratified flows. Castro-Díaz, M. J.; Fernández-Nieto, E. D.; Narbona-Reina, G.; and de la Asunción, M. Journal of Computational Physics, 262: 172-193. 2014. cited By 3
A second order PVM flux limiter method. Application to magnetohydrodynamics and shallow stratified flows [link] paper   doi   link   bibtex  
On the influence of the thickness of the sediment moving layer in the definition of the bedload transport formula in Exner systems. Fernández-Nieto, E. D.; Lucas, C.; Morales de Luna, T.; and Cordier, S. Computers & Fluids, 91: 87-106. 2014.
On the influence of the thickness of the sediment moving layer in the definition of the bedload transport formula in Exner systems [link] paper   doi   link   bibtex   abstract  
A Multilayer Method for the Hydrostatic Navier-Stokes Equations: A Particular Weak Solution. Fernández-Nieto, E. D.; Koné, E. H.; and Rebollo, T. C. J. Sci. Comput., 60: 408-437. 2014.
A Multilayer Method for the Hydrostatic Navier-Stokes Equations: A Particular Weak Solution [link] paper   doi   link   bibtex  
  2013 (3)
Formal derivation of a bilayer model coupling shallow water and Reynolds lubrication equations: evolution of a thin pollutant layer over water. Fernández-Nieto, E. D.; Narbona-Reina, G.; and Zabsonré, J. D. D. European Journal of Applied Mathematics, 24(6): 803-833. 2013.
Formal derivation of a bilayer model coupling shallow water and Reynolds lubrication equations: evolution of a thin pollutant layer over water [link] paper   doi   link   bibtex  
A multilayer shallow water system for polydisperse sedimentation. Fernández-Nieto, E. D.; Koné, E. H.; Morales de Luna, T.; and Bürger, R. Journal of Computational Physics, 238: 281-314. 2013. cited By 3
A multilayer shallow water system for polydisperse sedimentation [link] paper   doi   link   bibtex  
Efficient GPU implementation of a two waves TVD-WAF method for the two-dimensional one layer shallow water system on structured meshes. de la Asunción, M.; Castro, M.; Fernández-Nieto, E. D.; Mantas, J.; Ortega, S.; and Gonz�lez Vida, J. , 80: 441-452. 07 2013.
Efficient GPU implementation of a two waves TVD-WAF method for the two-dimensional one layer shallow water system on structured meshes [link] paper   doi   link   bibtex  
  2012 (5)
A HLLC scheme for nonconservative hyperbolic problems. Application to turbidity currents with sediment transport. Castro-Díaz, M. J.; Fernández-Nieto, E. D.; Morales de Luna, T.; Narbona-Reina, G.; and Parés, C. ESAIM: Mathematical Modelling and Numerical Analysis, 47(1): 1-32. 7 2012.
A HLLC scheme for nonconservative hyperbolic problems. Application to turbidity currents with sediment transport [link] paper   doi   link   bibtex   abstract  
Parametric Study of Thermodynamics in the Mediterranean Courtyard as a Tool for the Design of Eco-Efficient Buildings. Rojas, J. M.; Galán-Marín, C.; and Fernández-Nieto, E. D. Energies, 5(7): 2381-2403. 2012.
Parametric Study of Thermodynamics in the Mediterranean Courtyard as a Tool for the Design of Eco-Efficient Buildings [link] paper   doi   link   bibtex   abstract  
A Class of Computationally Fast First Order Finite Volume Solvers: PVM Methods. Castro-Díaz, M. J.; and Fernández-Nieto, E. D. SIAM Journal on Scientific Computing, 34(4): A2173-A2196. 2012.
A Class of Computationally Fast First Order Finite Volume Solvers: PVM Methods [link] paper   doi   link   bibtex  
A well-balanced finite volume-augmented Lagrangian method for an integrated Herschel-Bulkley model. Acary-Robert, C.; Fernández-Nieto, E. D.; Narbona-Reina, G.; and Vigneaux, P. Journal of Scientific Computing, 53(3): 608-641. April 2012. 40 pages. 12 figures.
A well-balanced finite volume-augmented Lagrangian method for an integrated Herschel-Bulkley model [link] paper   doi   link   bibtex  
An MPI-CUDA implementation of an improved Roe method for two-layer shallow water systems. de la Asunción, M.; Mantas, J. M.; Castro-Díaz, M. J.; and Fernández-Nieto, E. D. Journal of Parallel and Distributed Computing, 72(9): 1065-1072. 2012.
An MPI-CUDA implementation of an improved Roe method for two-layer shallow water systems [link] paper   doi   link   bibtex   abstract  
  2011 (2)
On an Intermediate Field Capturing Riemann Solver Based on a Parabolic Viscosity Matrix for the Two-Layer Shallow Water System. Fernández-Nieto, E. D.; Castro-Díaz, M. J.; and Parés, C. Journal of Scientific Computing, 48(1): 117-140. Jul 2011.
On an Intermediate Field Capturing Riemann Solver Based on a Parabolic Viscosity Matrix for the Two-Layer Shallow Water System [link] paper   doi   link   bibtex   abstract  
Numerical Treatment of the Loss of Hyperbolicity of the Two-Layer Shallow-Water System. Castro-Díaz, M. J.; Fernández-Nieto, E. D.; González-Vida, J. M.; and Parés-Madroñal, C. Journal of Scientific Computing, 48(1): 16-40. Jul 2011.
Numerical Treatment of the Loss of Hyperbolicity of the Two-Layer Shallow-Water System [link] paper   doi   link   bibtex   abstract  
  2010 (3)
Shallow Water equations for Non-Newtonian fluids. Fernández-Nieto, E. D.; Noble, P.; and Vila, J. Journal of Non-Newtonian Fluid Mechanics, 165(13): 712-732. 2010.
Shallow Water equations for Non-Newtonian fluids [link] paper   doi   link   bibtex  
Coupling superposed 1D and 2D shallow-water models: source terms and finite volume schemes. Fernández-Nieto, E. D.; Marin, J.; and Monnier, J. Computers and Fluids, 39(6): 1070-1082. June 2010.
Coupling superposed 1D and 2D shallow-water models: source terms and finite volume schemes [link] paper   doi   link   bibtex  
Augmented Lagrangian Method and Compressible Visco-Plastic Flows : Applications to Shallow Dense Avalanches. Bresch, D.; Fernández-Nieto, E. D.; Ionescu, I. R.; and Vigneaux, P. In Fursikov, A. V.; Galdi, G. P.; and Pukhnachev, V. V, editor(s), New Directions in Mathematical Fluid Mechanics, of Advances in Mathematical Fluid Mechanics, pages 57-89. Birkhäuser, January 2010. accepted November 2008. 33 pages. 12 figures
Augmented Lagrangian Method and Compressible Visco-Plastic Flows : Applications to Shallow Dense Avalanches [link] paper   link   bibtex  
  2009 (6)
Modelling and numerical simulation of submarine sediment shallow flows: transport and avalanches. Fernández-Nieto, E. D. , 49. 01 2009.
Modelling and numerical simulation of submarine sediment shallow flows: transport and avalanches [link] paper   link   bibtex  
Derivation of a bilayer model for Shallow Water equations with viscosity. Numerical validation. Narbona-Reina, G.; Zabsonré, J. D. D.; Fernández-Nieto, E. D.; and Bresch, D. Computer modeling in engineering & sciences, 43 (1), 27-71. 2009.
Derivation of a bilayer model for Shallow Water equations with viscosity. Numerical validation [link] paper   doi   link   bibtex  
Two-dimensional sediment transport models in shallow water equations. A second order finite volume approach on unstructured meshes. Castro-Díaz, M. J.; Fernández-Nieto, E. D.; Ferreiro, A. M.; and Parés, C. Computer Methods in Applied Mechanics and Engineering, 198(33-36): 2520-2538. 2009. cited By 38
Two-dimensional sediment transport models in shallow water equations. A second order finite volume approach on unstructured meshes [link] paper   doi   link   bibtex  
On a Shallow Water Model for the Simulation of Turbidity Currents. Morales de Luna, T.; Castro-Díaz, M. J.; ParesMadronal, C; and Fernández-Nieto, E. D. , 6. 10 2009.
On a Shallow Water Model for the Simulation of Turbidity Currents [link] paper   doi   link   bibtex  
High Order Extensions of Roe Schemes for Two-Dimensional Nonconservative Hyperbolic Systems. Castro-Díaz, M. J.; Fernández-Nieto, E. D.; Ferreiro, A. M. M.; García-Rodríguez, J. A.; and Parés, C. J. Sci. Comput., 39(1): 67-114. April 2009.
High Order Extensions of Roe Schemes for Two-Dimensional Nonconservative Hyperbolic Systems [link] paper   doi   link   bibtex  
AN ENERGETICALLY CONSISTENT VISCOUS SEDIMENTATION MODEL. Zabsonré, J. D. D.; Lucas, C.; and Fernández-Nieto, E. D. Mathematical Models and Methods in Applied Sciences, 19(03): 477-499. 2009.
AN ENERGETICALLY CONSISTENT VISCOUS SEDIMENTATION MODEL [link] paper   doi   link   bibtex  
  2008 (6)
A consistent intermediate wave speed for a well-balanced HLLC solver. Fernández-Nieto, E. D.; Bresch, D.; and Monnier, J. Comptes Rendus Mathematique, 346(13-14): 795-800. 2008. cited By 8
A consistent intermediate wave speed for a well-balanced HLLC solver [link] paper   doi   link   bibtex  
A new Savage-Hutter type model for submarine avalanches and generated tsunami. Fernández-Nieto, E. D.; Bouchut, F.; Bresch, D.; Castro-Díaz, M. J.; and Mangeney, A. Journal of Computational Physics, 227(16): 7720-7754. 2008. cited By 63
A new Savage-Hutter type model for submarine avalanches and generated tsunami [link] paper   doi   link   bibtex  
Well-balanced finite volume schemes for 2D non-homogeneous hyperbolic systems. Application to the dam break of Aznalcóllar. Castro-Díaz, M. J.; Rebollo, T. C.; Fernández-Nieto, E. D.; Vida, J. G.; and Parés, C. Computer Methods in Applied Mechanics and Engineering, 197(45-48): 3932 - 3950. 2008.
Well-balanced finite volume schemes for 2D non-homogeneous hyperbolic systems. Application to the dam break of Aznalcóllar [link] paper   doi   link   bibtex  
On new erosion models of Savage-Hutter type for avalanches. Bouchut, F.; Fernández-Nieto, E. D.; Mangeney, A.; and Lagrée, P. Acta Mechanica, 199(1): 181-208. Aug 2008.
On new erosion models of Savage-Hutter type for avalanches [link] paper   doi   link   bibtex   abstract  
Extension of WAF type methods to non-homogeneous shallow water equations with pollutant. Fernández-Nieto, E. D.; and Narbona-Reina, G. Journal of Scientific Computing, 36(2): 193-217. 2008. cited By 14
Extension of WAF type methods to non-homogeneous shallow water equations with pollutant [link] paper   doi   link   bibtex  
Sediment transport models in Shallow Water equations and numerical approach by high order finite volume methods. Castro-Díaz, M. J.; Fernández-Nieto, E. D.; and Ferreiro, A. M. Computers and Fluids, 37(3): 299-316. 2008. cited By 67
Sediment transport models in Shallow Water equations and numerical approach by high order finite volume methods [link] paper   doi   link   bibtex  
  2007 (2)
On Well-Balanced Finite Volume Methods for Nonconservative Nonhomogeneous Hyperbolic Systems. Castro-Díaz, M. J.; Rebollo, T. C.; Fernández-Nieto, E. D.; and Parés, C. SIAM Journal on Scientific Computing, 29(3): 1093-1126. 2007.
On Well-Balanced Finite Volume Methods for Nonconservative Nonhomogeneous Hyperbolic Systems [link] paper   doi   link   bibtex  
A treatment of discontinuities for nonlinear systems with linearly degenerate fields. Fernández-Nieto, E. D.; and Martínez, V. Computers & Fluids, 36(5): 987-1003. 2007.
A treatment of discontinuities for nonlinear systems with linearly degenerate fields [link] paper   doi   link   bibtex  
  2004 (1)
Asymptotically balanced schemes for non-homogeneous hyperbolic systems application to the Shallow Water equations. Rebollo, T. C.; Delgado, A. D.; and Fernández-Nieto, E. D. Comptes Rendus Mathematique, 338(1): 85 - 90. 2004.
Asymptotically balanced schemes for non-homogeneous hyperbolic systems application to the Shallow Water equations [link] paper   doi   link   bibtex  
  2003 (2)
An entropy-correction free solver for non-homogeneous Shallow Water Equations. Rebollo, T.; Delgado, A.; and Enrique-Nieto, E. D. Mathematical Modelling and Numerical Analysis, 37(5): 755-772. 2003. cited By 15
An entropy-correction free solver for non-homogeneous Shallow Water Equations [link] paper   doi   link   bibtex  
A family of stable numerical solvers for the shallow water equations with source terms. Rebollo, T. C.; Delgado, A. D.; and Nieto, E. D. F. Computer Methods in Applied Mechanics and Engineering, 192(1): 203-225. 2003.
A family of stable numerical solvers for the shallow water equations with source terms [link] paper   doi   link   bibtex