A72. Mannach-Pérennou B., Chalons C.,
Two
temperature Lagrangian hydrodynamics : path-consistent solutions and
their numerical approximation through discontinuous reconstruction
To appear in Communications in Mathematical Sciences
A71. Castro M.J., Chalons C.,
Del Grosso A., Morales de Luna T.
Lagrange-Projection methods for
shallow water equations with movable bottom and erosion-deposition
processes
Numerical Mathematics: Theory, Methods and Applications, 16(2023), pp. 1087-1126
A70. Birke C., Chalons C., Klingenberg C.
A low Mach two-speed relaxation scheme
for the compressible Euler equations with gravity
Communications
in Mathematical Sciences, Vol. 21, No. 8 (2023), pp. 2213-2246
A69. Del Grosso A., Castro M.J., Chalons C., Morales
de Luna T.
On well-balanced implicit-explicit
Lagrange-Projection schemes for two-layer shallow water equations
Applied Mathematics and Computation, Volume 442, 1 April 2023, 127702
A68. Pimentel-Garcia E., Castro
M.J., Chalons C.,
Morales de Luna T., Parés C.
In-cell Discontinuous
Reconstruction
path-conservative methods for non conservative hyperbolic systems -
Second-order extension
Journal of Computational
Physics (JCP), Volume 459, 15 June 2022, 111152
A67. Chalons C., Del Grosso
A., Toro E.F.
Numerical approximation and uncertainty
quantification for arterial blood flow models with viscoelasticity
preprint available here,
Journal of Computational
Physics (JCP), vol 457, 15 May 2022, 111071
A66. Chalons C., Del Grosso
A.
A second-order
well-balanced
Lagrange-Projection scheme for Shallow Water Exner equations in 1D and
2D
Communications
in Mathematical Sciences, Volume 20 (2022) Number 7, pp. 1839-1873
A65. Chalons C., Del Grosso A.
Exploring different possibilities for
second-order well-balanced
Lagrange-Projection numerical schemes applied to Shallow Water Exner
equations
International Journal for
Numerical Methods in Fluids, DOI : 10.1002/fld.5064, Volume 94, Issue 6, Pages 505-535 (2022)
A64. Chalons C., Del Grosso A.
Second-order well-balanced
Lagrange-Projection schemes for Blood Flow Equations
Calcolo, 58, 43 (2021),
https://doi.org/10.1007/s10092-021-00434-5
A63. Blachère F., Chalons C., Turpault
R.
Very high-order asymptotic-preserving
schemes for hyperbolic systems of conservation laws with parabolic
degeneracy on unstructured
meshes
Computers & Mathematics
with Applications, Vol. 87, pp 41-49, (2021)
A62. Bürger R., Chalons C., Ordonez R.,
Villada
L.-M
A multi-class
Lighthill-Whitham-Richards Traffic Model with a Discontinuous Velocity
Fucntion
Networks
and Heterogeneous Media (NHM), Vol. 16 (2), pp 187-219 (2021)
A61. Bouchut F., Chalons C., Guisset S.
An
entropy-satisfying two-speed relaxation system forthe barotropic Euler
equations. Application to the numerical approximation of low Mach
number flows
Numerische
Mathematik, 145, pp 35-76 (2020)
A60. Morales de Luna T., Castro Diaz M., Chalons C.
High-order
fully well-balanced Lagrange-Projection scheme for shallow water
Commun. Math. Sci., Vol. 18, No. 3, pp. 781–807 (2020)
A59. Chalons C., Duvigneau R., Fiorini C.
A modified sensitivity equation for the
Euler equations in presence of shocks
Numerical
Methods for Partial Differential Equations (NMPDE),Vol. 36, No. 4, pp 839-867
(2020)
A58. Chalons C.
Path-conservative
In-Cell Discontinuous Reconstruction schemes for non conservative
hyperbolic systems
Commun. Math.
Sci., Vol. 18, No. 1, pp. 1–30 (2020)
A57. Chalons C., Turpault R.
High-order
asymptotic-preserving schemes for linear systems. Application to the
Goldstein-Taylor equations
Numerical
Methods for Partial Differential Equations (NMPDE), vol 35(4), pp
1538-1561 (2019)
A56. Chalons C., Duvigneau R., Fiorini C.
Sensitivity
analysis and numerical diffusion effects for hyperbolic PDE systems
with discontinuous solutions. The case of barotropic Euler equations in
Lagrangian coordinates
SIAM J. Sci.
Comput., 40(6), A3955-A3981 (2018)
A55. Castro Diaz M. J., Chalons C., Morales de
Luna T.
A fully well-balanced
Lagrange-Projection type scheme for the shallow-water equations
SIAM Journal on Numerical
Analysis, Vol. 56, No. 5, pp. 3071-3098 (2018)
A54. Chalons C., Guisset S.
An anti-diffusive HLL scheme for the
electronic M1 model in the diffusion limit
SIAM Multiscale Modeling and
Simulation, Vol. 16, No. 2, pp. 991-1016 (2018)
A53. Audusse E., Chalons C., Ung P.
A simple three-wave approximate Riemann
solver for the Saint-Venant-Exner model
Int J Numer Meth Fluids,
87:508–528 (2018)
A52. Chalons C., Goatin P., Villada L.-M.,
High-order
numerical schemes for one-dimension non-local conservation laws
SIAM J. Sci.
Comput., Vol. 40(1),
pp. A288-A305 (2018)
A51. Chalons C., Goatin P., Delle
Monache M.-L.
A conservative scheme for non-classical
solutions to a strongly coupled PDE-ODE problem
Interfaces
and Free Boundaries, Vol. 19(4), pp. 553-570 (2017),
preprint available here
A50. Villa S., Goatin P., Chalons C.
Moving bottlenecks for the
Aw-Rascle-Zhang traffic flow model
Discrete and Continuous
Dynamical System - B, Vol.
22(10), pp. 3921-3952 (2017), preprint available here
A49. Chalons C., Fox R. O., Laurent F., Massot
M. and Vié A.
Multivariate gaussian extended
quadrature method of moments for turbulent disperse multiphase flow
SIAM J. Multiscale Model.
and Simul.,15(4), pp.
1553-1583 (2017), preprint available here
A48. Betancourt F., Bürger R.,
Chalons C., Diehl S., Faras S.
A
random sampling approach for a family of Temple-class systems of
conservation laws
Numerische Mathematik, Vol
138, pp 37-73 (2018)
A47. Ndjinga M., Nguyen K., Chalons
C.
A 2x2 hyperbolic system modelling
incompressible two-phase flows - theory and numerics
Nonlinear Differential
Equations and Applications
(NDEA), https://doi.org/10.1007/s00030-017-0458-6, (2017)
A46. Chalons C., Rohde C.,
Wiebe M.
A finite volume method for
undercompressive shock waves in two space dimensions
preprint available here,
Mathematical Modelling and
Numerical Analysis (M2AN), Vol. 51 (5), pp. 1987-2015 (2017)
A45. Chalons C., Girardin M., S.
Kokh.
An all-regime Lagrange-Projection like
scheme for 2D homogeneous models for two-phase flows on unstructured
meshes
preprint available here, Journal of Computational Physics (JCP),
Vol. 335, pp. 885-904 (2017)
A44. Chalons C., Coquel
F.
A new comment on the computation of
non conservative products using Roe-type path conservative scheme
preprint available here, Journal of Computational Physics
(JCP), Vol. 335, pp. 592-604 (2017)
A43. Chalons C., Kestener P., Kokh S.,
Stauffert M.
A large time-step and well-balanced
Lagrange-Projection type scheme for the shallow-water equations
Communications in Mathematical Sciences
(CMS), Vol. 15, No. 3, pp. 765-788 (2017)
A42. Aguillon N., Chalons C.
Non diffusive
conservative schemes based on approximate Riemann solvers for
Lagrangian gas dynamics
Mathematical Modelling and
Numerical Analysis (M2AN), Vol. 50, No. 6, pp. 1887-1916 (2016)
A41. Bürger R., Chalons C.,
Villada L.-M.
Anti-diffusive
lagrangian-remap schemes for models of polydisperse sedimentation
Numerical Methods for
Partial Differential Equations (NMPDE), vol. 32, pp 1109-1136 (2016)
A40. Chalons C., Girardin M.,
S. Kokh.
An all-regime
Lagrange-Projection like scheme for the gas dynamics equations on
unstructured meshes
Communications in
Computational Physics (CICP), Vol. 20, No. 1, pp. 188-233 (2016)
A39. Audusse E., Chalons C., Ung
P.,
A very simple well-balanced positive
and entropy-satisfying scheme for the shallow-water equations
Commun. Math. Sci., Vol. 13,
No. 5, pp. 1317-1332 (2015)
A38. Chalons C., Massot M.,
Vié A.
On the Eulerian large eddy simulation
of disperse phase flows: an asymptotic-preserving scheme for small
stokes number flows
SIAM J. Multiscale Model.
and Simul, 13-1, pp 291-315 (2015)
A37. Boileau M., Chalons C.,
Massot M.,
Robust numerical coupling of pressure
and pressureless gas dynamics equations for Eulerian spray DNS and LES
SIAM J. Sci.
Comput., vol. 37, No. 1, pp. B79-B102 (2015)
A36. Berthon C., Chalons C.
A full
well-balanced, positive and entropy-satisfying Godunov-type method for
the shallow-water equations
Math. of Comp., vol 85, pp
1281-1307 (2016)
A35. Bürger R.,
Chalons C., Villada L.-M.
Anti-diffusive
and random-sampling lagrangian-remap schemes for the multi-class
Lighthill-Whitham-Richards traffic model
SIAM J. Sci. Comput. 35-6, (2013)
A34. Chalons C., Engel P., Rohde C.,
A
conservative and convergent scheme for undercompressive shock waves
SIAM
J. Numer. Anal.,
52(1), 554–579 (2014)
A33. Chalons C., Girardin M., Kokh S.,
Large
time-step and asymptotic-preserving numerical schemes for the gas
dynamics equations with source terms
SIAM J. Sci. Comput. 35-6,
A32. Chalons C., Coquel F.,
Modified
Suliciu relaxation system and exact resolution of isolated shock waves
Math.
Models Methods Appl. Sci. (M3AS),
Vol.
24, No. 5 937–971 (2014)
A31. Chalons C., Goatin P., Seguin
N.,
General constrained conservation laws.
Application to pedestrian flow modeling
Netw. Heterog. Media, vol 8(2), pp 433-463 (2013)
A30. Berthon C., Chalons C.,
Turpault R.,
Asymptotic-preserving
Godunov-type numerical schemes for hyperbolic systems with stiff and
non-stiff relaxation terms
Numerical
Methods for Partial Differential Equations (NMPDE), vol 29(4), pp
1149-1172 (2013)
A29. Ambroso A., Chalons C.,
Coquel F., Galié T.,
Interface model coupling via prescribed
local flux balance
Mathematical Modelling and
Numerical Analysis, doi:10.1051/m2an/2013125, Vol. 48(3), pp 895-918 (2014)
A28. Thanh M.-D., Kröner D.,
Chalons C.,
A robust
numerical method for approximating solutions of a model of two-phase
flows and its properties
Applied Mathematics and
Computation, vol 219, pp 320-344 (2012)
A27. Chalons C., Coquel F., Engel
P., Rohde C.,
Fast
relaxation solver for hyperbolic-elliptic phase-transition problems
SIAM
J. Sci.
Comput. (SISC), vol 34(3), A1753-A1776 (2012)
A26. Chalons C., Kah D., Massot
M.,
Beyond pressureless gas dynamics :
quadrature-based velocity moment models
Comm.
Math. Sci. (CMS), vol 10(4),
pp 1241-1272 (2012)
A25. Ambroso A.,
Chalons C., Raviart P.-A.,
A Godunov-type method for
the seven-equation model of compressible two-phase flow
Comput. and Fluids
(C&F), vol 54, pp 67-91 51 (2012)