Christophe Chalons

Publications

Article dans une revue (50)

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
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
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
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
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
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
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
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
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
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
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
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
High-order asymptotic-preserving schemes for linear systems: Application to the Goldstein-Taylor equations Rodolphe Turpault,Christophe Chalons Numerical Methods for Partial Differential Equations, In press, ⟨10.1002/num.22363⟩ Article dans une revue hal-02043513v1
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
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
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 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
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 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
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
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
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 : Mathematical Analysis, Computation and Applications, 2017, 19 (4), pp.553-570. ⟨10.4171/IFB/392⟩ Article dans une revue hal-01070262v1
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
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
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
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
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
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 istex hal-02166375v1
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
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
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
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
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
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
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
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
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
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
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
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 Jodeauet al. 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
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 : Mathematical Analysis, Computation and Applications, 2008, 10 (3), pp.399--421. ⟨10.4171/IFB/195⟩ Article dans une revue hal-00457583v1
The coupling of homogeneous models for two-phase flows Annalisa Ambroso,Christophe Chalons,Frédéric Coquel,Edwige Godlewski,Frédéric Lagoutièreet al. 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

Communication dans un congrès (7)

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
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
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
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
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
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
Robust numerical schemes for Eulerian spray DNS and LES in two-phase turbulent flows Matthieu Boileau,Christophe Chalons,Jean-François Bourgouin,Cédric Terrier,Frédérique Laurentet al. 7th International Conference on Multiphase Flows, ICMF 2010, May 2010, Tampa, FL, United States. pp.1-15 Communication dans un congrès hal-00498182v1

Chapitre d'ouvrage (5)

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
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

Pré-publication, Document de travail (16)

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
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
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
Hauteur de l'arbre de Jacobson Anatole Khelif,Max Lemax,Christophe Chalons 2019 Pré-publication, Document de travail hal-02106146v1
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
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
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
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
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
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
A CONSERVATIVE AND CONVERGENT SCHEME FOR UNDERCOMPRESSIVE SHOCK WAVES Christophe Chalons,Patrick Engel,Christian Rohde 2012 Pré-publication, Document de travail hal-00747238v1
Sediment transport modelling : Relaxation schemes for Saint-Venant -- Exner and three layer models Emmanuel Audusse,Christophe Chalons,Olivier Delestre,Nicole Goutal,Magali Jodeauet al. 2012 Pré-publication, Document de travail hal-00674363v1
Modified Suliciu relaxation system and exact resolution of isolated shock waves Christophe Chalons,Frédéric Coquel 2012 Pré-publication, Document de travail hal-00737870v1
Computing material fronts with a Lagrange-Projection approach Christophe Chalons,Frédéric Coquel 2010 Pré-publication, Document de travail hal-00548938v1
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
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

Thèse (1)

Bilans d'entropie discrets dans l'approximation numerique des chocs non classiques. Application aux equations de Navier-Stokes multi-pression 2D et a quelques systemes visco-capillaires Christophe Chalons Mathématiques [math]. Ecole Polytechnique X, 2002. Français. ⟨NNT : ⟩ Thèse tel-00002077v1