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Christophe Chalons

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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

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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Exploring different possibilities for second-order well-balanced Lagrange-projection numerical schemes applied to shallow water Exner equations

Christophe Chalons , Alessia Del Grosso
International Journal for Numerical Methods in Fluids, 2022, 94 (6), pp.505-535. ⟨10.1002/fld.5064⟩
Article dans une revue hal-03993015v1
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A second-order well-balanced Lagrange-projection numerical scheme for shallow water Exner equations in 1D and 2D

Christophe Chalons , Alessia Del Grosso
Communications in Mathematical Sciences, 2022, 20 (7), pp.1839-1873. ⟨10.4310/CMS.2022.v20.n7.a3⟩
Article dans une revue hal-03993021v1
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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
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Numerical approximation and uncertainty quantification for arterial blood flow models with viscoelasticity

Christophe Chalons , Alessia Del Grosso , Eleuterio Francisco Toro
Journal of Computational Physics, 2022, 457, ⟨10.1016/j.jcp.2022.111071⟩
Article dans une revue hal-03993016v1
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Very high-order asymptotic-preserving schemes for hyperbolic systems of conservation laws with parabolic degeneracy on unstructured meshes

Florian Blachère , Christophe Chalons , Rodolphe Turpault
Computers & Mathematics with Applications, 2021, 87, pp.41-49. ⟨10.1016/j.camwa.2021.02.003⟩
Article dans une revue hal-03157500v1
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Second-order well-balanced Lagrange-projection schemes for blood flow equations

Alessia Del Grosso , Christophe Chalons
Calcolo, 2021, 58 (4), ⟨10.1007/s10092-021-00434-5⟩
Article dans une revue hal-03993025v1
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A multiclass lighthill-whitham-richards traffic model with a discontinuous velocity function

Raimund Bürger , Christophe Chalons , Rafael Ordoñez , Luis Miguel Villada
Networks and Heterogeneous Media, 2021, 16 (2), pp.187-219. ⟨10.3934/nhm.2021004⟩
Article dans une revue hal-03993041v1
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Path-conservative in-cell discontinuous reconstruction schemes for non conservative hyperbolic systems

Christophe Chalons
Communications in Mathematical Sciences, 2020, 18 (1), pp.1-30. ⟨10.4310/CMS.2020.v18.n1.a1⟩
Article dans une revue hal-03993060v1
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A modified sensitivity equation method for the Euler equations in presence of shocks

Camilla Fiorini , Christophe Chalons , Régis Duvigneau
Numerical Methods for Partial Differential Equations, 2020, 36 (4), ⟨10.1002/num.22454⟩
Article dans une revue hal-01817815v3
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An entropy satisfying two-speed relaxation system for the barotropic Euler equations. Application to the numerical approximation of low Mach number flows.

François Bouchut , Christophe Chalons , Sébastien Guisset
Numerische Mathematik, 2020, 145, pp.35-76. ⟨10.1007/s00211-020-01111-5⟩
Article dans une revue hal-01661275v2
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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

High-order asymptotic-preserving schemes for linear systems: Application to the Goldstein-Taylor equations

Rodolphe Turpault , Christophe Chalons
Numerical Methods for Partial Differential Equations, inPress, ⟨10.1002/num.22363⟩
Article dans une revue hal-02043513v1
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Sensitivity analysis and numerical diffusion effects for hyperbolic PDE systems with discontinuous solutions. The case of barotropic Euler equations in Lagrangian coordinates

Christophe Chalons , Régis Duvigneau , Camilla Fiorini
SIAM Journal on Scientific Computing, 2018, 40 (6), pp.A3955-A3981. ⟨10.1137/17M1140807⟩
Article dans une revue hal-01589337v2

An antidiffusive HLL scheme for the electronic m1 model in the diffusion limit

Christophe Chalons , Sébastien Guisset
Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2018, 16 (2), pp.991-1016. ⟨10.1137/18M1126692⟩
Article dans une revue hal-03993094v1
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High-order numerical schemes for one-dimensional nonlocal conservation laws

Christophe Chalons , Paola Goatin , Luis Miguel Villada
SIAM Journal on Scientific Computing, 2018, 40 (1), pp.A288-A305. ⟨10.1137/16M110825X⟩
Article dans une revue hal-03993100v1
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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

A simple three-wave approximate Riemann solver for the Saint-Venant-Exner equations

Emmanuel Audusse , Christophe Chalons , Philippe Ung
International Journal for Numerical Methods in Fluids, 2018, 87 (10), pp.508-528. ⟨10.1002/fld.4500⟩
Article dans une revue hal-03993086v1
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An anti-diffusive HLL scheme for the electronic M1 model in the diffusion limit

Christophe Chalons , Sébastien Guisset
Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2018, 16 (2), pp.991-1016. ⟨10.1137/18M1126692⟩
Article dans une revue hal-01511519v1

A random sampling method for a family of Temple-class systems of conservation laws

Fernando Betancourt , Raimund Burger , Christophe Chalons , Stefan Diehl , Sebastian Faras
Numerische Mathematik, 2018, 138 (1), pp.37-73. ⟨10.1007/s00211-017-0900-z⟩
Article dans une revue hal-02169456v1

A 2 x 2 hyperbolic system modelling incompressibletwo phase flows: theory and numerics

M. Ndjinga , Tp. Nguyen , Christophe Chalons
Nonlinear Differential Equations and Applications, 2017, 24, ⟨10.1007/s00030-017-0458-6⟩
Article dans une revue hal-02339649v1
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A large time-step and well-balanced Lagrange-Projection type scheme for the shallow-water equations

Christophe Chalons , Pierre Kestener , Samuel Kokh , Maxime Stauffert
Communications in Mathematical Sciences, 2017, 15 (3), pp.765-788. ⟨10.4310/CMS.2017.v15.n3.a9⟩
Article dans une revue hal-01297043v2
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A conservative scheme for non-classical solutions to a strongly coupled PDE-ODE problem

Christophe Chalons , Maria Laura Delle Monache , Paola Goatin
Interfaces and Free Boundaries, 2017, 19 (4), pp.553-570. ⟨10.4171/IFB/392⟩
Article dans une revue hal-01070262v1
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An all-regime Lagrange-Projection like scheme for 2D homogeneous models for two-phase flows on unstructured meshes

Christophe Chalons , Mathieu Girardin , Samuel Kokh
Journal of Computational Physics, 2017, 335, pp.885-904. ⟨10.1016/j.jcp.2017.01.017⟩
Article dans une revue hal-01495699v1
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High order numerical schemes for one-dimension non-local conservation laws

Christophe Chalons , Paola Goatin B , Luis M Villada
SIAM Journal on Scientific Computing, 2017, 40 (1), pp.A288-A305
Article dans une revue hal-01418749v1

A FINITE VOLUME METHOD FOR UNDERCOMPRESSIVE SHOCK WAVES IN TWO SPACE DIMENSIONS

Christophe Chalons , Christian Rohde , Maria Wiebe
ESAIM: Mathematical Modelling and Numerical Analysis, 2017, 51 (5), pp.1987-2015. ⟨10.1051/m2an/2017027⟩
Article dans une revue hal-02169453v1
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Multivariate Gaussian extended quadrature method of moments for turbulent disperse multiphase flow

Christophe Chalons , Rodney Fox , Frédérique Laurent , Marc Massot , Aymeric Vié
Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2017, 15 (4), pp.1553-1583. ⟨10.1137/16M109209X⟩
Article dans une revue hal-01358390v1
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Moving bottlenecks for the Aw-Rascle-Zhang traffic flow model

Stefano Villa , Paola Goatin , Christophe Chalons
Discrete and Continuous Dynamical Systems - Series B, 2017, 22 (10), pp.3921-3952
Article dans une revue hal-01347925v1
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A simple and accurate coupled HLL-type approximate Riemann solver for the two-fluid two-pressure model of compressible flows

Christophe Chalons
International Journal on Finite Volumes, 2016
Article dans une revue hal-01419932v1

Fully well-balanced, positive and simple approximate Riemann solver for shallow water equations

Christophe Berthon , S. Cornet , G. Sperone , Christophe Chalons
Boletim da Sociedade Brasileira de Matemática / Bulletin of the Brazilian Mathematical Society, 2016, 47 (1), pp.117-130. ⟨10.1007/s00574-016-0126-1⟩
Article dans une revue hal-02166377v1
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Nondiffusive conservative schemes based on approximate Riemann solvers for Lagrangian gas dynamics

Nina Aguillon , Christophe Chalons
ESAIM: Mathematical Modelling and Numerical Analysis, 2016, 50 (6), pp.1887 - 1916. ⟨10.1051/m2an/2016010⟩
Article dans une revue hal-01073680v1

On second-order antidiffusive Lagrangian-remap schemes for multispecies kinematic flow models

Raimund Buerger , Christophe Chalons , Luis Miguel Villada
Boletim da Sociedade Brasileira de Matemática / Bulletin of the Brazilian Mathematical Society, 2016, 47 (1), pp.187-200. ⟨10.1007/s00574-016-0131-4⟩
Article dans une revue hal-02166368v1

Antidiffusive Lagrangian-remap schemes for models of polydisperse sedimentation

Raimund Buerger , Luis M. Villada , Christophe Chalons
Numerical Methods for Partial Differential Equations, 2016, 32 (4), pp.1109-1136. ⟨10.1002/num.22043⟩
Article dans une revue hal-02166375v1
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A FULLY WELL-BALANCED, POSITIVE AND ENTROPY-SATISFYING GODUNOV-TYPE METHOD FOR THE SHALLOW-WATER EQUATIONS

Christophe Berthon , Christophe Chalons
Mathematics of Computation, 2016, 85 (299), pp.1281-1307
Article dans une revue hal-00956799v2
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On the Eulerian Large Eddy Simulation of disperse phase flows: an asymptotic preserving scheme for small Stokes number flows

Christophe Chalons , Marc Massot , Aymeric Vié
Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2015, 13 (1), pp.291-315. ⟨10.1137/140960438⟩
Article dans une revue hal-00958108v1
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A simple well-balanced and positive numerical scheme for the shallow-water system

Emmanuel Audusse , Christophe Chalons , Philippe Ung
Communications in Mathematical Sciences, 2015, 13 (5), pp.1317-1332. ⟨10.4310/CMS.2015.v13.n5.a11⟩
Article dans une revue hal-01083364v2
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Robust Numerical Coupling of Pressure and Pressureless Gas Dynamics Equations for Eulerian Spray DNS and LES

Matthieu Boileau , Christophe Chalons , Marc Massot
SIAM Journal on Scientific Computing, 2015, 37 (1), pp.79-102. ⟨10.1137/130945740⟩
Article dans une revue hal-00906220v2

Interface model coupling via prescribed local flux balance

Annalisa Ambroso , Christophe Chalons , Frédéric Coquel , Thomas Galié
ESAIM: Mathematical Modelling and Numerical Analysis, 2014, 48 (3), pp.895-918. ⟨10.1051/m2an/2013125⟩
Article dans une revue hal-02190247v1
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General constrained conservation laws. Application to pedestrian flow modeling.

Christophe Chalons , Paola Goatin , Nicolas Seguin
Networks and Heterogeneous Media, 2013, 8 (2), pp.433-463
Article dans une revue hal-00713609v1
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Fast Relaxation Solvers for Hyperbolic-Elliptic Phase Transition Problems

Christophe Chalons , Frédéric Coquel , Patrick Engel , Christian Rohde
SIAM Journal on Scientific Computing, 2012, 34 (3), http://dx.doi.org/10.1137/110848815
Article dans une revue hal-00726479v1
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Beyond pressureless gas dynamics : Quadrature-based velocity moment models

Christophe Chalons , Damien Kah , Marc Massot
Communications in Mathematical Sciences, 2012, 10 (4), pp.1241-1272. ⟨10.4310/cms.2012.v10.n4.a11⟩
Article dans une revue hal-00535782v2
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Asymptotic-preserving Godunov-type numerical schemes for hyperbolic systems with stiff and non-stiff relaxation terms

Christophe Berthon , Christophe Chalons , Rodolphe Turpault
Numerical Methods for Partial Differential Equations, 2012, vol 29 (4), pp 1149-1172. ⟨10.1002/num.21749⟩
Article dans une revue hal-00909103v1

Sediment transport modelling : relaxation schemes for Saint-Venant - Exner and three layer models

Emmanuel Audusse , Christophe Chalons , Olivier Delestre , Nicole Goutal , Magali Jodeau
ESAIM: Proceedings, 2012, 38, pp.78-98. ⟨10.1051/proc/201238005⟩
Article dans une revue hal-00796049v1

A conditionally linearly stable second-order traffic model derived from a Vlasov kinetic description

Romain Billot , Christophe Chalons , F. de Vuyst , N.-E. El Faouzi , Jacques Sau
Comptes Rendus Mécanique, 2010, 338, pp.529-537
Article dans une revue hal-00566031v1
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Existence result for the coupling problem of two scalar conservation laws with Riemann initial data

Benjamin Boutin , Christophe Chalons , Pierre-Arnaud Raviart
Mathematical Models and Methods in Applied Sciences, 2010, 20 (10), pp.1859--1898. ⟨10.1142/S0218202510004817⟩
Article dans une revue hal-00871839v1

Convergent and conservative schemes for nonclassical solutions based on kinetic relations

Benjamin Boutin , Christophe Chalons , Frédéric Lagoutière , Philippe G. LeFloch
Interfaces and Free Boundaries, 2008, 10 (3), pp.399--421. ⟨10.4171/IFB/195⟩
Article dans une revue hal-00457583v1
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The coupling of homogeneous models for two-phase flows

Annalisa Ambroso , Christophe Chalons , Frédéric Coquel , Edwige Godlewski , Frédéric Lagoutière
International Journal on Finite Volumes, 2007, 4, pp.1--39
Article dans une revue hal-01117451v1

Non-monotonic traveling waves in Van der Waals fluids,

N. Bedjaoui , Christophe Chalons , Frédéric Coquel , Philippe G. LeFloch
Analysis and Applications, 2005, 3, pp.419-446
Article dans une revue hal-00018939v1

The Riemann problem for the multi-pressure Euler system

Christophe Chalons , Frédéric Coquel
Journal of Hyperbolic Differential Equations, 2005, 3, pp.745-782
Article dans une revue hal-00020201v1

Navier-Stokes equations with several independent pressure laws and explicit predictor-corrector schemes

Frédéric Coquel , Christophe Chalons
Numerische Mathematik, 2005, 101, pp.451-478
Article dans une revue hal-00112166v1

Sensitivity Analysis for Hyperbolic Systems of Conservation Laws

Camilla Fiorini , Régis Duvigneau , Christophe Chalons
SIAM Optimization, May 2017, Vancouver, Canada
Communication dans un congrès hal-01589247v1
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Sensitivity analysis for the Euler equations in Lagrangian coordinates

Christophe Chalons , Régis Duvigneau , Camilla Fiorini
FVCA - 8th International Symposium on Finite Volumes for Complex Applications, Jun 2017, Lille, France
Communication dans un congrès hal-01589307v1
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A finite-volume tracking scheme for two-phase compressible flow

Christophe Chalons , Jim Magiera , Christian Rohde , Maria Wiebe
16th International Conference on Hyperbolic Problems: Theory, Numerics and Applications, 2016, Aug 2016, Aachen, Germany. pp.309-322, ⟨10.1007/978-3-319-91545-6_25⟩
Communication dans un congrès hal-03993095v1

A finite volume tracking scheme for two-phase compressible flow

J. Magiera , C. Rohde , M. Wiebe , Christophe Chalons
Proceedings of the HYP2016 international conference, 2016, Aachen, Germany
Communication dans un congrès hal-02171830v1

Operator-splitting based AP schemes for the 1D and 2D gas dynamics equations with stiff sources

Mathieu Girardin , Samuel Kokh , Christophe Chalons
Hyperbolic Problems: Theory, Numerics, Applications, 2012, Padova, Italy. pp.607-614
Communication dans un congrès hal-02171829v1
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Large Time-Step Numerical Scheme for the Seven-Equation Model of Compressible Two-Phase Flows

Christophe Chalons , Frédéric Coquel , Samuel Kokh , Nicole Spillane
Finite Volumes for Complex Applications VI, 2011, Czech Republic. pp. 225-233, ⟨10.1007/978-3-642-20671-9_24⟩
Communication dans un congrès hal-01018835v1
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Robust numerical schemes for Eulerian spray DNS and LES in two-phase turbulent flows

Matthieu Boileau , Christophe Chalons , Jean-François Bourgouin , Cédric Terrier , Frédérique Laurent
7th International Conference on Multiphase Flows, ICMF 2010, May 2010, Tampa, FL, United States. pp.1-15
Communication dans un congrès hal-00498182v1

A High-Order Discontinuous Galerkin Lagrange Projection Scheme for the Barotropic Euler Equations

Maxime Stauffert , Christophe Chalons
Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems, pp.63-70, 2017, ⟨10.1007/978-3-319-57394-6_7⟩
Chapitre d'ouvrage hal-02173689v1

Numerical Simulation of an Incompressible Two-Fluid Model

Christophe Chalons , Michael Ndjinga , Thi-Phuoung-Kieu Nguyen
Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problem, 78, pp.919-926, 2014, Proceedings in Mathematics and Statistics, ⟨10.1007/978-3-319-05591-6_93⟩
Chapitre d'ouvrage hal-02173680v1

A hierarchy of Eulerian models for trajectory crossing in particle-laden turbulent flows over a wide range of Stokes numbers

Frédérique Laurent , Aymeric Vié , Christophe Chalons , Rodney Fox , Marc Massot
Center for Turbulence Research. Annual Research Briefs 2012, Center for Turbulence Research - Stanford University, pp.193-204, 2013
Chapitre d'ouvrage hal-00773331v1
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A multi-Gaussian quadrature method of moments for simulating high Stokes number turbulent two-phase flows

Aymeric Vié , Christophe Chalons , Rodney Fox , Frédérique Laurent , Marc Massot
Annual Research Brief of the Center for Turbulence Research - Stanford University, Center for Turbulence Research - Stanford University, pp.309-320, 2012
Chapitre d'ouvrage hal-00653105v1

Second-order scheme for quadrature-based velocity high order moment methods for disperse two-phase flows

Damien Kah , Aymeric Vié , Christophe Chalons , Marc Massot
Annual Research Briefs of the Center for Turbulence Research, Center for Turbulence Research - Stanford University, pp.321-334, 2012
Chapitre d'ouvrage hal-00653057v1
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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 second-order well-balanced Lagrange-projection scheme for Shallow Water Exner equations in 1D and 2D

Christophe Chalons , Alessia del Grosso
2021
Pré-publication, Document de travail hal-03251707v1
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Hauteur de l'arbre de Jacobson

Anatole Khelif , Max Lemax , Christophe Chalons
2019
Pré-publication, Document de travail hal-02106146v1
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An all-regime and well-balanced Lagrange-projection type scheme for the shallow water equations on unstructured meshes

Christophe Chalons , Samuel Kokh , Maxime Stauffert
2019
Pré-publication, Document de travail hal-02004835v1
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A well-balanced Discontinuous-Galerkin Lagrange-Projection scheme for the Shallow Water Equations

Christophe Chalons , Maxime Stauffert
2017
Pré-publication, Document de travail hal-01612292v1
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A new comment on the computation of non conservative products using Roe-type path conservative schemes

Christophe Chalons , Frédéric Coquel
2016
Pré-publication, Document de travail hal-01424306v1
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A simple three-wave Approximate Riemann Solver for the Saint-Venant–Exner equations

Emmanuel Audusse , Christophe Chalons , Philippe Ung
2016
Pré-publication, Document de travail hal-01204754v2
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A 2 × 2 HYPERBOLIC SYSTEM MODELLING INCOMPRESSIBLE TWO PHASE FLOWS -THEORY AND NUMERICS

Michael Ndjinga , Thi-Phuong-Kieu Nguyen , Christophe Chalons
2016
Pré-publication, Document de travail hal-01303133v1
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An all-regime Lagrange-Projection like scheme for the gas dynamics equations on unstructured meshes

Christophe Chalons , Mathieu Girardin , Samuel Kokh
2014
Pré-publication, Document de travail hal-01007622v2
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Large time step and asymptotic preserving numerical schemes for the gas dynamics equations with source terms

Christophe Chalons , Samuel Kokh , Mathieu Girardin
2012
Pré-publication, Document de travail hal-00718022v1
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A CONSERVATIVE AND CONVERGENT SCHEME FOR UNDERCOMPRESSIVE SHOCK WAVES

Christophe Chalons , Patrick Engel , Christian Rohde
2012
Pré-publication, Document de travail hal-00747238v1
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Modified Suliciu relaxation system and exact resolution of isolated shock waves

Christophe Chalons , Frédéric Coquel
2012
Pré-publication, Document de travail hal-00737870v1
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Sediment transport modelling : Relaxation schemes for Saint-Venant -- Exner and three layer models

Emmanuel Audusse , Christophe Chalons , Olivier Delestre , Nicole Goutal , Magali Jodeau
2012
Pré-publication, Document de travail hal-00674363v1
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Computing material fronts with a Lagrange-Projection approach

Christophe Chalons , Frédéric Coquel
2010
Pré-publication, Document de travail hal-00548938v1
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A Godunov-type method for the seven-equation model of compressible two-phase flow

Annalisa Ambroso , Christophe Chalons , Pierre-Arnaud Raviart
2010
Pré-publication, Document de travail hal-00517375v1
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Godunov-type schemes for hyperbolic systems with parameter dependent source. The case of Euler system with friction

Christophe Chalons , Frédéric Coquel , Edwige Godlewski , Pierre-Arnaud Raviart , Nicolas Seguin
2009
Pré-publication, Document de travail hal-00401616v1