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The Navier-Stokes system with temperature and salinity for free surface flows. Numerical scheme and validation
L. Boittin, F. Bouchut, M.-O. Bristeau, A. Mangeney, J. Sainte-Marie and F. Souillé Journal of Computational Physics 510 113065 (2024) https://doi.org/10.1016/j.jcp.2024.113065
Congested Shallow Water Model: Trapped Air Pockets Modeling
Non-hydrostatic layer-averaged approximation of Euler system with enhanced dispersion properties
C. Escalante, E. D. Fernández-Nieto, J. Garres-Díaz, T. Morales de Luna and Y. Penel Computational and Applied Mathematics 42(4) (2023) https://doi.org/10.1007/s40314-023-02309-7
Layer-averaged approximation of Navier–Stokes system with complex rheologies
Enrique D. Fernández-Nieto and José Garres-Díaz ESAIM: Mathematical Modelling and Numerical Analysis 57(5) 2735 (2023) https://doi.org/10.1051/m2an/2023065
A memristive non-smooth dynamical system with coexistence of bimodule periodic oscillation
Yang Yang, Minglin Ma, Zhijun Li, Mengjiao Wang, Yichuang Sun and Liang Chen AEU - International Journal of Electronics and Communications 153 154279 (2022) https://doi.org/10.1016/j.aeue.2022.154279
An Arbitrary High Order Well-Balanced ADER-DG Numerical Scheme for the Multilayer Shallow-Water Model with Variable Density
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Numerical Approximation of Hyperbolic Systems of Conservation Laws
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A surrogate model for efficient quantification of uncertainties in multilayer shallow water flows
A combined fluid-dynamic and thermodynamic model to predict the onset of rapid phase transitions in LNG spills
Karl Yngve Lervåg, Hans Langva Skarsvåg, Eskil Aursand, et al. Journal of Loss Prevention in the Process Industries 69 104354 (2021) https://doi.org/10.1016/j.jlp.2020.104354
Asymptotic derivation and simulations of a non-local Exner model in large viscosity regime
Emmanuel Audusse, Léa Boittin and Martin Parisot ESAIM: Mathematical Modelling and Numerical Analysis 55(4) 1635 (2021) https://doi.org/10.1051/m2an/2021031
Flexible and efficient discretizations of multilayer models with variable density
A dynamic multilayer shallow water model for polydisperse sedimentation
Raimund Bürger, Enrique D. Fernández-Nieto and Víctor Osores ESAIM: Mathematical Modelling and Numerical Analysis 53(4) 1391 (2019) https://doi.org/10.1051/m2an/2019032
Numerical approximation of the 3D hydrostatic Navier–Stokes system with free surface
Sebastien Allgeyer, Marie-Odile Bristeau, David Froger, et al. ESAIM: Mathematical Modelling and Numerical Analysis 53(6) 1981 (2019) https://doi.org/10.1051/m2an/2019044
Towards a new friction model for shallow water equations through an interactive viscous layer
François James, Pierre-Yves Lagrée, Minh H. Le and Mathilde Legrand ESAIM: Mathematical Modelling and Numerical Analysis 53(1) 269 (2019) https://doi.org/10.1051/m2an/2018076
A consistent reduction of the two-layer shallow-water equations to an accurate one-layer spreading model
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An Efficient Two-Layer Non-hydrostatic Approach for Dispersive Water Waves
Congested shallow water model: roof modeling in free surface flow
Edwige Godlewski, Martin Parisot, Jacques Sainte-Marie and Fabien Wahl ESAIM: Mathematical Modelling and Numerical Analysis 52(5) 1679 (2018) https://doi.org/10.1051/m2an/2018032
Multilayer shallow water models with locally variable number of layers and semi-implicit time discretization
Luca Bonaventura, Enrique D. Fernández-Nieto, José Garres-Díaz and Gladys Narbona-Reina Journal of Computational Physics 364 209 (2018) https://doi.org/10.1016/j.jcp.2018.03.017
How do microalgae perceive light in a high-rate pond? Towards more realistic Lagrangian experiments
A multilayer shallow model for dry granular flows with the -rheology: application to granular collapse on erodible beds
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Kinetic entropy inequality and hydrostatic reconstruction scheme for the Saint-Venant system
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State Feedback Stabilization of the Linearized Bilayer Saint-Venant Model
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A Multilayer Method for the Hydrostatic Navier-Stokes Equations: A Particular Weak Solution
Advances in Numerical Simulation in Physics and Engineering
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Growth Rate Estimation of algae in Raceway Ponds: A novel Approach
Approximation of the hydrostatic Navier–Stokes system for density stratified flows by a multilayer model: Kinetic interpretation and numerical solution