Interface tracking method for compressible multifluids
ESAIM: M2AN, 42 6 (2008) 991-1019
Published online: 2008-09-25
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 diffuse boundary method for phase boundaries in viscous compressible flow
Emma M. Boyd, Eric Sandall, Maycon Meier, J. Matt Quinlan and Brandon RunnelsJournal of Computational Physics 559 114898 (2026)
https://doi.org/10.1016/j.jcp.2026.114898
Particle-resolved numerical simulation of the motion of a square-shaped particle behind a shock wave
P. Utkin and A. LopatoThe European Physical Journal Special Topics (2025)
https://doi.org/10.1140/epjs/s11734-025-01773-y
Particle-resolved numerical simulation of a particle liftoff behind a shock wave from a rough surface
P. Utkin, A. Lopato, Fei Jia and Zhao LiuPhysics of Fluids 37 (9) (2025)
https://doi.org/10.1063/5.0288069
A conservative interface treating method for compressible multi-medium flow based on cut-cell method
Zimai Zou, Na Liu and Chunwu WangPhysics of Fluids 37 (8) (2025)
https://doi.org/10.1063/5.0279937
Novel local characteristic decomposition based path-conservative central-upwind schemes
Shaoshuai Chu, Michael Herty and Alexander KurganovJournal of Computational Physics 524 113692 (2025)
https://doi.org/10.1016/j.jcp.2024.113692
(2024)
https://doi.org/10.2139/ssrn.4824100
Low-dissipation central-upwind schemes for compressible multifluids
Shaoshuai Chu, Alexander Kurganov and Ruixiao XinJournal of Computational Physics 518 113311 (2024)
https://doi.org/10.1016/j.jcp.2024.113311
433 73 (2023)
https://doi.org/10.1007/978-3-031-40860-1_8
Investigation of the Ripa Model via NHRS Scheme with Its Wide-Ranging Applications
H. G. Abdelwahed, Mahmoud A. E. Abdelrahman, A. F. Alsarhana and Kamel MohamedFractal and Fractional 6 (12) 745 (2022)
https://doi.org/10.3390/fractalfract6120745
Self-similar diffuse boundary method for phase boundary driven flow
Emma M. Schmidt, J. Matt Quinlan and Brandon RunnelsPhysics of Fluids 34 (11) (2022)
https://doi.org/10.1063/5.0107739
Semi-decoupling hybrid asymptotic and augmented finite volume method for nonlinear singular interface problems
Tengjin Zhao, Kazufumi Ito and Zhiyue ZhangJournal of Computational and Applied Mathematics 396 113606 (2021)
https://doi.org/10.1016/j.cam.2021.113606
Hybrid Multifluid Algorithms Based on the Path-Conservative Central-Upwind Scheme
Alina Chertock, Shaoshuai Chu and Alexander KurganovJournal of Scientific Computing 89 (2) (2021)
https://doi.org/10.1007/s10915-021-01656-z
A high order conservative finite difference scheme for compressible two-medium flows
Feng Zheng, Chi-Wang Shu and Jianxian QiuJournal of Computational Physics 445 110597 (2021)
https://doi.org/10.1016/j.jcp.2021.110597
An efficient algorithm for the multicomponent compressible Navier–Stokes equations in low- and high-Mach number regimes
Roman FrolovComputers & Fluids 178 15 (2019)
https://doi.org/10.1016/j.compfluid.2018.10.001
Theory, Numerics and Applications of Hyperbolic Problems I
Christophe Chalons, Jim Magiera, Christian Rohde and Maria WiebeSpringer Proceedings in Mathematics & Statistics, Theory, Numerics and Applications of Hyperbolic Problems I 236 309 (2018)
https://doi.org/10.1007/978-3-319-91545-6_25
High order well-balanced discontinuous Galerkin methods for shallow water flow under temperature fields
Shouguo Qian, Fengjing Shao and Gang LiComputational and Applied Mathematics 37 (5) 5775 (2018)
https://doi.org/10.1007/s40314-018-0662-y
Numerical Methods for Interface Coupling of Compressible and Almost Incompressible Media
M. J. Del Razo and R. J. LeVequeSIAM Journal on Scientific Computing 39 (3) B486 (2017)
https://doi.org/10.1137/16M1067834
A Hybrid Method to Solve Shallow Water Flows with Horizontal Density Gradients
Gerardo Hernandez-DuenasJournal of Scientific Computing 73 (2-3) 753 (2017)
https://doi.org/10.1007/s10915-017-0553-1
A finite volume method for undercompressive shock waves in two space dimensions
Christophe Chalons, Christian Rohde and Maria WiebeESAIM: Mathematical Modelling and Numerical Analysis 51 (5) 1987 (2017)
https://doi.org/10.1051/m2an/2017027
Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects
Yuanzhen Cheng, Alina Chertock and Alexander KurganovSpringer Proceedings in Mathematics & Statistics, Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects 199 43 (2017)
https://doi.org/10.1007/978-3-319-57397-7_4
A HLLC scheme for Ripa model
C. Sánchez-Linares, T. Morales de Luna and M.J. Castro DíazApplied Mathematics and Computation 272 369 (2016)
https://doi.org/10.1016/j.amc.2015.05.137
Computational and In Vitro Studies of Blast-Induced Blood-Brain Barrier Disruption
M. J. Del Razo, Y. Morofuji, J. S. Meabon, et al.SIAM Journal on Scientific Computing 38 (3) B347 (2016)
https://doi.org/10.1137/15M1010750
Well-balanced finite difference WENO schemes for the Ripa model
Xiao Han and Gang LiComputers & Fluids 134-135 1 (2016)
https://doi.org/10.1016/j.compfluid.2016.04.031
Well-balanced schemes to capture non-explicit steady states: Ripa model
Vivien Desveaux, Markus Zenk, Christophe Berthon and Christian KlingenbergMathematics of Computation 85 (300) 1571 (2016)
https://doi.org/10.1090/mcom/3069
Central-upwind schemes for the system of shallow water equations with horizontal temperature gradients
Alina Chertock, Alexander Kurganov and Yu LiuNumerische Mathematik 127 (4) 595 (2014)
https://doi.org/10.1007/s00211-013-0597-6
Combining Discrete Equations Method and Upwind Downwind-Controlled Splitting for non-reacting and reacting two-fluid computations: Two dimensional case
Kunkun Tang, Alberto Beccantini and Christophe CorreComputers & Fluids 103 132 (2014)
https://doi.org/10.1016/j.compfluid.2014.07.019
Nonlinear preconditioning for efficient and accurate interface capturing in simulation of multicomponent compressible flows
Ratnesh K. ShuklaJournal of Computational Physics 276 508 (2014)
https://doi.org/10.1016/j.jcp.2014.07.034
Anti-diffusion interface sharpening technique for two-phase compressible flow simulations
K.K. So, X.Y. Hu and N.A. AdamsJournal of Computational Physics 231 (11) 4304 (2012)
https://doi.org/10.1016/j.jcp.2012.02.013
Finite Volumes for Complex Applications VI Problems & Perspectives
Angelo Iollo, Thomas Milcent and Haysam TelibSpringer Proceedings in Mathematics, Finite Volumes for Complex Applications VI Problems & Perspectives 4 581 (2011)
https://doi.org/10.1007/978-3-642-20671-9_61
An interface treating technique for compressible multi-medium flow with Runge–Kutta discontinuous Galerkin method
Chunwu Wang and Chi-Wang ShuJournal of Computational Physics 229 (23) 8823 (2010)
https://doi.org/10.1016/j.jcp.2010.08.012