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References (30)
-
V. Balashov, E. Savenkov (2020)
Thermodynamically consistent spatial discretization of the one-dimensional regularized system of the Navier-Stokes-Cahn-Hilliard equationsJ. Comput. Appl. Math., 372
-
(2010)
Modeling a two-phase flow in a microchannel with the use of the density functional method -
J. Guermond, B. Popov (2012)
Viscous Regularization of the Euler Equations and Entropy PrinciplesSIAM J. Appl. Math., 74
-
Elin Olsson, G. Kreiss, S. Zahedi (2005)
A conservative level set method for two phase flow IIJ. Comput. Phys., 225
-
V. Balashov, E. Savenkov, A. Zlotnik (2019)
Numerical method for 3D two-component isothermal compressible flows with application to digital rock physicsRussian Journal of Numerical Analysis and Mathematical Modelling, 34
-
(2007)
Kvazigazodinamicheskie uravneniya i metody rascheta vyazkikh techenii (Quasihydrodynamic Equations and Methods for Calculating Viscous Flows) -
M. Svärd (2018)
A new Eulerian model for viscous and heat conducting compressible flowsPhysica A: Statistical Mechanics and its Applications
-
V. Balashov, A. Zlotnik (2020)
An Energy dissipative Spatial discretization for the Regularized compressible Navier-Stokes-Cahn-Hilliard System of equationsMath. Model. Anal., 25
-
N. Provatas, K. Elder (2010)
Phase-Field Methods in Materials Science and Engineering -
E. Gelissen, C. Geld, M. Baltussen, J. Kuerten (2020)
Modeling of droplet impact on a heated solid surface with a diffuse interface modelInternational Journal of Multiphase Flow, 123
-
N. Moelans, B. Blanpain, P. Wollants (2008)
An introduction to phase-field modeling of microstructure evolutionCalphad-computer Coupling of Phase Diagrams and Thermochemistry, 32
-
Balashov Vladislav, Zlotnik Alexander, Savenkov Evgeny (2017)
Analysis of a regularized model for the isothermal two-component mixture with the diffuse interfaceRussian Journal of Numerical Analysis and Mathematical Modelling, 32
-
D. Wheeler, J. Warren, W. Boettinger (2010)
Modeling the early stages of reactive wetting.Physical review. E, Statistical, nonlinear, and soft matter physics, 82 5 Pt 1
-
D. Jacqmin (1999)
Regular Article: Calculation of Two-Phase Navier–Stokes Flows Using Phase-Field ModelingJournal of Computational Physics, 155
-
(2018)
Multicomponent quasi-hydrodynamic model describing multiphase fluid flows with allowance for interphase interaction, Prikl -
Jiewei Liu, G. Amberg, M. Do-Quang (2016)
Diffuse interface method for a compressible binary fluid.Physical review. E, 93 1
-
(2004)
Applying the method of density functional to modeling the flows of multicomponent mutliphase mixtures, Prikl -
Duong Hoang, V. Steijn, L. Portela, M. Kreutzer, C. Kleijn (2013)
Benchmark numerical simulations of segmented two-phase flows in microchannels using the Volume of Fluid methodComputers & Fluids, 86
-
(2009)
Osnovy metoda funktsionala plotnosti v gidrodinamike (Basics of the Method of Density Functional in Hydrodynamics) -
Xueping Zhao, Qi Wang (2018)
A second order fully-discrete linear energy stable scheme for a binary compressible viscous fluid modelJ. Comput. Phys., 395
-
G. Kreiss E. Olsson (2005)
A conservative level set method for two phaseflowJ. Comput. Phys., 210
-
D. Jamet, D. Torres, J. Brackbill (2002)
On the theory and computation of surface tension: the elimination of parasitic currents through energy conservation in the second-gradient methodJournal of Computational Physics, 182
-
(2009)
Dinamika sploshnykh sred pri prostranstvenno–vremennom osrednenii (Continuum Dynamics under Spatial–Temporal Averaging) -
A. Onuki (2009)
Henry's law, surface tension, and surface adsorption in dilute binary mixtures.The Journal of chemical physics, 130 12
-
T. Elizarova, A. Zlotnik, E. Shil’nikov (2019)
Regularized Equations for Numerical Simulation of Flows of Homogeneous Binary Mixtures of Viscous Compressible GasesComputational Mathematics and Mathematical Physics, 59
-
J. Lowengrub, L. Truskinovsky (1998)
Quasi–incompressible Cahn–Hilliard fluids and topological transitionsProceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 454
-
N. Favrie, S. Gavrilyuk, R. Saurel (2009)
Solid-fluid diffuse interface model in cases of extreme deformationsJ. Comput. Phys., 228
-
D Anderson, G McFadden, A Wheeler (1997)
DIFFUSE-INTERFACE METHODS IN FLUID MECHANICSAnnual Review of Fluid Mechanics, 30
-
R. Mauri (2012)
Multiphase microfluidics the diffuse interface model, 538
-
(2004)
Kineticheskie skhemy i kvazigazodinamicheskaya sistema uravnenii (Kinetic Schemes and Quasihydrodynamic System of Equations)
- Publisher
- Springer Journals
- Copyright
- 2020 Pleiades Publishing, Ltd.
- ISSN
- 0012-2661
- eISSN
- 1608-3083
- DOI
- 10.1134/S0012266120070058
- Publisher site
- See Article on Publisher Site
Abstract
Abstract We consider a quasi-hydrodynamic regularized model of the phase field type that describes the dynamics of an isothermal compressible two-phase viscous mixture with allowance for interphase effects. The dissipativity of the model, i.e., the lack of growth in the complete energy of the closed system as it tends to an equilibrium state, is discussed. A spatially discrete approximation to the one-dimensional model that possesses the dissipativity property with respect to total energy is constructed for the plane-parallel case. The working capacity of the discretization constructed is demonstrated using the spinodal decomposition of the two-phase mixture.
Journal
Differential Equations – Springer Journals
Published: Jul 1, 2020