Accurate numerical discretizations of non-conservative hyperbolic systems
ESAIM: M2AN, 46 1 (2012) 187-206
Published online: 2011-10-03
Articles citing this article
The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
This article has been cited by the following article(s):
A Structure-Preserving and Thermodynamically Compatible Cell-Centered Lagrangian Finite Volume Scheme for Continuum Mechanics
Walter Boscheri, Michael Dumbser, Raphaël Loubère and Pierre-Henri MaireSIAM Journal on Numerical Analysis 64 (3) 685 (2026)
https://doi.org/10.1137/25M1765857
A geometrically and thermodynamically compatible finite volume scheme for continuum mechanics on unstructured polygonal meshes
Walter Boscheri, Raphaël Loubère, Jean-Philippe Braeunig and Pierre-Henri MaireJournal of Computational Physics 507 112957 (2024)
https://doi.org/10.1016/j.jcp.2024.112957
High‐order in‐cell discontinuous reconstruction path‐conservative methods for nonconservative hyperbolic systems–DR.MOOD method
Ernesto Pimentel‐García, Manuel J. Castro, Christophe Chalons and Carlos ParésNumerical Methods for Partial Differential Equations 40 (6) (2024)
https://doi.org/10.1002/num.23133
A New Class of Simple, General and Efficient Finite Volume Schemes for Overdetermined Thermodynamically Compatible Hyperbolic Systems
Saray Busto and Michael DumbserCommunications on Applied Mathematics and Computation 6 (3) 1742 (2024)
https://doi.org/10.1007/s42967-023-00307-4
A well‐balanced and entropy stable scheme for a reduced blood flow model
Raimund Bürger, Sonia Valbuena and Carlos A. VegaNumerical Methods for Partial Differential Equations 39 (3) 2491 (2023)
https://doi.org/10.1002/num.22975
Numerical path preserving Godunov schemes for hyperbolic systems
Ke Xu, Zhenxun Gao, Zhansen Qian, Chongwen Jiang and Chun-Hian LeeJournal of Computational Physics 490 112297 (2023)
https://doi.org/10.1016/j.jcp.2023.112297
A New Thermodynamically Compatible Finite Volume Scheme for Magnetohydrodynamics
Saray Busto and Michael DumbserSIAM Journal on Numerical Analysis 61 (1) 343 (2023)
https://doi.org/10.1137/22M147815X
A simple and general framework for the construction of thermodynamically compatible schemes for computational fluid and solid mechanics
Rémi Abgrall, Saray Busto and Michael DumbserApplied Mathematics and Computation 440 127629 (2023)
https://doi.org/10.1016/j.amc.2022.127629
2516 170017 (2022)
https://doi.org/10.1063/5.0108730
A New Family of Thermodynamically Compatible Discontinuous Galerkin Methods for Continuum Mechanics and Turbulent Shallow Water Flows
Saray Busto and Michael DumbserJournal of Scientific Computing 93 (2) (2022)
https://doi.org/10.1007/s10915-022-02017-0
On Thermodynamically Compatible Finite Volume Schemes for Continuum Mechanics
Saray Busto, Michael Dumbser, Ilya Peshkov and Evgeniy RomenskiSIAM Journal on Scientific Computing 44 (3) A1723 (2022)
https://doi.org/10.1137/21M1417508
In-cell discontinuous reconstruction path-conservative methods for non conservative hyperbolic systems - Second-order extension
Ernesto Pimentel-García, Manuel J. Castro, Christophe Chalons, Tomás Morales de Luna and Carlos ParésJournal of Computational Physics 459 111152 (2022)
https://doi.org/10.1016/j.jcp.2022.111152
Numerical Examples of Non-Dissipative Discontinuous Kinematic Waves in Open Channels
Sovanna Mean, Koichi Unami and Masayuki FujiharaJournal of Rainwater Catchment Systems 27 (2) 33 (2022)
https://doi.org/10.7132/jrcsa.27_2_33
A conservative and consistent scalar filtered mass density function method for supersonic flows
Lin Zhang, Jianhan Liang, Mingbo Sun, Yue Yang, Hailong Zhang and Xiaodong CaiPhysics of Fluids 33 (2) (2021)
https://doi.org/10.1063/5.0036022
On Thermodynamically Compatible Finite Volume Methods and Path-Conservative ADER Discontinuous Galerkin Schemes for Turbulent Shallow Water Flows
Saray Busto, Michael Dumbser, Sergey Gavrilyuk and Kseniya IvanovaJournal of Scientific Computing 88 (1) (2021)
https://doi.org/10.1007/s10915-021-01521-z
On entropy stable schemes for degenerate parabolic multispecies kinematic flow models
Raimund Bürger, Paul E. Méndez and Carlos ParésNumerical Methods for Partial Differential Equations 35 (5) 1847 (2019)
https://doi.org/10.1002/num.22381
NUMERICAL SIMULATIONS FOR NON CONSERVATIVE HYPERBOLIC SYSTEM. APPLICATION TO TRANSIENT TWO-PHASE FLOW WITH CAVITATION PHENOMENON
Abdelmjid Qadi El Idrissi, Boujemâa Achchab and Abdellatif AgouzalMathematical Modelling and Analysis 24 (2) 218 (2019)
https://doi.org/10.3846/mma.2019.015
Entropy-stable space–time DG schemes for non-conservative hyperbolic systems
Andreas Hiltebrand, Siddhartha Mishra and Carlos ParésESAIM: Mathematical Modelling and Numerical Analysis 52 (3) 995 (2018)
https://doi.org/10.1051/m2an/2017056
A new comment on the computation of non-conservative products using Roe-type path conservative schemes
Christophe Chalons and Frédéric CoquelJournal of Computational Physics 335 592 (2017)
https://doi.org/10.1016/j.jcp.2017.01.016
Hyperbolicity and numerics in SYS-TH codes: The FONESYS point of view
S.H. Ahn, N. Aksan, H. Austregesilo, D. Bestion, B.D. Chung, E. Coscarelli, F. D'Auria, P. Emonot, J.L. Gandrille, J.Y. Sauvage, M. Hanninen, I. Horvatović, K.D. Kim, A. Kovtonyuk, S. Lutsanych and A. PetruzziNuclear Engineering and Design 322 227 (2017)
https://doi.org/10.1016/j.nucengdes.2017.06.033
Entropy Stable Schemes for Degenerate Convection-Diffusion Equations
Silvia Jerez and Carlos ParésSIAM Journal on Numerical Analysis 55 (1) 240 (2017)
https://doi.org/10.1137/16M1076411
Schemes with Well-Controlled Dissipation. Hyperbolic Systems in Nonconservative Form
Abdelaziz Beljadid, Philippe G. LeFloch, Siddhartha Mishra and Carlos ParésCommunications in Computational Physics 21 (4) 913 (2017)
https://doi.org/10.4208/cicp.OA-2016-0019
Schemes with Well-Controlled Dissipation
Jan Ernest, Philippe G. LeFloch and Siddhartha MishraSIAM Journal on Numerical Analysis 53 (1) 674 (2015)
https://doi.org/10.1137/130933551
Accurate numerical schemes for approximating initial-boundary value problems for systems of conservation laws
Siddhartha Mishra and Laura V. SpinoloJournal of Hyperbolic Differential Equations 12 (01) 61 (2015)
https://doi.org/10.1142/S0219891615500034
Numerical methods with controlled dissipation for small-scale dependent shocks
Philippe G. LeFloch and Siddhartha MishraActa Numerica 23 743 (2014)
https://doi.org/10.1017/S0962492914000099
Fully coupled methods for multiphase morphodynamics
C. Michoski, C. Dawson, C. Mirabito, et al.Advances in Water Resources 59 95 (2013)
https://doi.org/10.1016/j.advwatres.2013.05.002