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Bedload transport in shallow water models: why splitting (may) fail, how hyperbolicity (can) help

Stéphane Cordier , Minh H. Le , Tomas Morales de Luna
2010
Pré-publication, Document de travail hal-00536267v2

On Lagrange-Projection Schemes for Shallow Water Flows Over Movable Bottom with Suspended and Bedload Transport

Alessia Del Grosso , Manuel J. Castro Díaz , Christophe Chalons , Tomás de Luna
Numerical Mathematics: Theory, Methods and Applications, 2023, 16 (4), pp.1087-1126. ⟨10.4208/nmtma.OA-2023-0082⟩
Article dans une revue hal-04334517v1
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High-order fully well-balanced Lagrange-projection scheme for shallow water

Tomás de Luna , Manuel Jesús Díaz , Christophe Chalons
Communications in Mathematical Sciences, 2020, 18 (3), pp.781-807. ⟨10.4310/CMS.2020.v18.n3.a9⟩
Article dans une revue hal-03993053v1
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In-cell discontinuous reconstruction path-conservative methods for non conservative hyperbolic systems - Second-order extension

Ernesto Pimentel-García , Manuel Jesús Castro , Christophe Chalons , Tomás Morales de Luna , Carlos Parés
Journal of Computational Physics, 2022, 459, pp.111152. ⟨10.1016/j.jcp.2022.111152⟩
Article dans une revue hal-03703593v1

On well-balanced implicit-explicit Lagrange-projection schemes for two-layer shallow water equations

Alessia Del Grosso , Manuel Jesús Castro Díaz , Christophe Chalons , Tomás Morales de Luna
Applied Mathematics and Computation, 2023, 442, ⟨10.1016/j.amc.2022.127702⟩
Article dans une revue hal-04068544v1
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A robust model for rapidly varying flows over movable bottom with suspended and bedload transport: modelling and numerical approach

J.C. González-Aguirre , M.J. Castro , T Morales de Luna
2019
Pré-publication, Document de travail hal-02319659v1
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Numerical simulations of a dispersive model approximating free-surface Euler equations

Cipriano Escalante-Sánchez , Enrique Domingo Fernandez-Nieto , Tomas Morales de Luna , Yohan Penel , Jacques Sainte-Marie
2020
Pré-publication, Document de travail hal-03079571v1
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On well-balanced implicit-explicit Lagrange-projection schemes for two-layer shallow water equations

Alessia del Grosso , Manuel J. Castro Díaz , Christophe Chalons , Tomás Morales de Luna
2022
Pré-publication, Document de travail hal-03655011v1
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A Subsonic-Well-Balanced Reconstruction Scheme for Shallow Water Flows

François Bouchut , Tomás Morales de Luna
SIAM Journal on Numerical Analysis, 2010, 48 (5), pp.1733-1758. ⟨10.1137/090758416⟩
Article dans une revue hal-00693032v1
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A general non-hydrostatic hyperbolic formulation for Boussinesq dispersive shallow flows and its numerical approximation

Cipriano Escalante , Tomas Morales de Luna
2020
Pré-publication, Document de travail hal-02401138v2
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On the influence of the thickness of the sediment moving layer in the definition of the bedload transport formula in Exner systems

Enrique D. Fernandez-Nieto , Carine Lucas , Tomas Morales de Luna , Stephane Cordier
Computers and Fluids, 2014, 91, pp.87-106. ⟨10.1016/j.compfluid.2013.11.031⟩
Article dans une revue hal-00821659v2
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A fully well-balanced lagrange-projection-type scheme for the shallow-water equations

Manuel Jesús Castro Díiaz , Christophe Chalons , Tomás Morales de Luna
SIAM Journal on Numerical Analysis, 2018, 56 (5), pp.3071-3098. ⟨10.1137/17M1156101⟩
Article dans une revue hal-03993092v1