Stable discretization of a diffuse interface model for liquid-vapor flows with surface tension
ESAIM: M2AN, 47 2 (2013) 401-420
Published online: 2013-01-11
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 Interface Model for Cavitation, Taking Into Account Capillary Forces
Takfarines Ait‐Ali, Sofiane Khelladi, Farid Bakir, Noureddine Hannoun, Xesús Nogueira and Luis RamírezInternational Journal for Numerical Methods in Fluids 97 (3) 395 (2025)
https://doi.org/10.1002/fld.5350
An Energy Stable Local Discontinuous Galerkin Method for the Isothermal Navier-Stokes-Korteweg Equations
Lulu Tian, Yan Xu, Yang Yang and J. J. W. Van der VegtJournal of Scientific Computing 104 (2) (2025)
https://doi.org/10.1007/s10915-025-02979-x
A relaxation model for the non-isothermal Navier-Stokes-Korteweg equations in confined domains
Jens Keim, Claus-Dieter Munz and Christian RohdeJournal of Computational Physics 474 111830 (2023)
https://doi.org/10.1016/j.jcp.2022.111830
An $$h-$$Adaptive Local Discontinuous Galerkin Method for Simulating Wormhole Propagation with Darcy–Forcheiner Model
Lulu Tian, Hui Guo, Rui Jia and Yang YangJournal of Scientific Computing 82 (2) (2020)
https://doi.org/10.1007/s10915-020-01135-x
A parabolic relaxation model for the Navier-Stokes-Korteweg equations
Timon Hitz, Jens Keim, Claus-Dieter Munz and Christian RohdeJournal of Computational Physics 421 109714 (2020)
https://doi.org/10.1016/j.jcp.2020.109714
Molecular dynamics and phase field simulations of droplets on surfaces with wettability gradient
Felix Diewald, Martin P. Lautenschlaeger, Simon Stephan, et al.Computer Methods in Applied Mechanics and Engineering 361 112773 (2020)
https://doi.org/10.1016/j.cma.2019.112773
Theory, Numerics and Applications of Hyperbolic Problems I
Jan Giesselmann and Dimitrios ZacharenakisSpringer Proceedings in Mathematics & Statistics, Theory, Numerics and Applications of Hyperbolic Problems I 236 631 (2018)
https://doi.org/10.1007/978-3-319-91545-6_48
Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects
Jan Giesselmann and Tristan PryerSpringer Proceedings in Mathematics & Statistics, Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects 199 457 (2017)
https://doi.org/10.1007/978-3-319-57397-7_39
An asymptotic-preserving method for a relaxation of the Navier–Stokes–Korteweg equations
Alina Chertock, Pierre Degond and Jochen NeusserJournal of Computational Physics 335 387 (2017)
https://doi.org/10.1016/j.jcp.2017.01.030
Relative Energy for the Korteweg Theory and Related Hamiltonian Flows in Gas Dynamics
Jan Giesselmann, Corrado Lattanzio and Athanasios E. TzavarasArchive for Rational Mechanics and Analysis 223 (3) 1427 (2017)
https://doi.org/10.1007/s00205-016-1063-2
The least-squares spectral element method for phase-field models for isothermal fluid mixture
Keunsoo Park, Maria Fernandino, Carlos A. Dorao and Marc GerritsmaComputers & Mathematics with Applications 74 (8) 1981 (2017)
https://doi.org/10.1016/j.camwa.2017.06.059
Reduced relative entropy techniques fora posteriorianalysis of multiphase problems in elastodynamics
Jan Giesselmann and Tristan PryerIMA Journal of Numerical Analysis 36 (4) 1685 (2016)
https://doi.org/10.1093/imanum/drv052
An h-adaptive local discontinuous Galerkin method for the Navier–Stokes–Korteweg equations
Lulu Tian, Yan Xu, J.G.M. Kuerten and J.J.W. van der VegtJournal of Computational Physics 319 242 (2016)
https://doi.org/10.1016/j.jcp.2016.05.027
Reduced relative entropy techniques for a priori analysis of multiphase problems in elastodynamics
Jan Giesselmann and Tristan PryerBIT Numerical Mathematics 56 (1) 99 (2016)
https://doi.org/10.1007/s10543-015-0560-2
Numerical solution of Navier–Stokes–Korteweg systems by Local Discontinuous Galerkin methods in multiple space dimensions
Dennis Diehl, Jenny Kremser, Dietmar Kröner and Christian RohdeApplied Mathematics and Computation 272 309 (2016)
https://doi.org/10.1016/j.amc.2015.09.080
Relaxation of the Navier–Stokes–Korteweg equations for compressible two‐phase flow with phase transition
J. Neusser, C. Rohde and V. SchleperInternational Journal for Numerical Methods in Fluids 79 (12) 615 (2015)
https://doi.org/10.1002/fld.4065
A local discontinuous Galerkin method for the (non)-isothermal Navier–Stokes–Korteweg equations
Lulu Tian, Yan Xu, J.G.M. Kuerten and J.J.W. van der VegtJournal of Computational Physics 295 685 (2015)
https://doi.org/10.1016/j.jcp.2015.04.025
A Relative Entropy Approach to Convergence of a Low Order Approximation to a Nonlinear Elasticity Model with Viscosity and Capillarity
Jan GiesselmannSIAM Journal on Mathematical Analysis 46 (5) 3518 (2014)
https://doi.org/10.1137/140951710