Sharp-interface limits of a phase-field model with a generalized Navier slip boundary condition for moving contact lines
暂无分享,去创建一个
Xianmin Xu | Yana Di | Haijun Yu | Haijun Yu | Xianmin Xu | Yana Di
[1] R. G. Cox. The dynamics of the spreading of liquids on a solid surface. Part 2. Surfactants , 1986, Journal of Fluid Mechanics.
[2] Hang Ding,et al. Wetting condition in diffuse interface simulations of contact line motion. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.
[3] Ya-Guang Wang,et al. The Sharp Interface Limit of a Phase Field Model for Moving Contact Line Problem , 2007 .
[4] Chang Shu,et al. Mobility‐dependent bifurcations in capillarity‐driven two‐phase fluid systems by using a lattice Boltzmann phase‐field model , 2009 .
[5] Pierre Seppecher,et al. Moving contact lines in the Cahn-Hilliard theory , 1996 .
[6] D. Bonn,et al. Wetting and Spreading , 2009 .
[7] Serafim Kalliadasis,et al. The contact line behaviour of solid-liquid-gas diffuse-interface models , 2013, 1310.1255.
[8] L. Scriven,et al. Hydrodynamic Model of Steady Movement of a Solid / Liquid / Fluid Contact Line , 1971 .
[9] Serafim Kalliadasis,et al. Unifying binary fluid diffuse-interface models in the sharp-interface limit , 2013, Journal of Fluid Mechanics.
[10] Jie Shen,et al. Efficient energy stable numerical schemes for a phase field moving contact line model , 2015, J. Comput. Phys..
[11] D. Jacqmin. Regular Article: Calculation of Two-Phase Navier–Stokes Flows Using Phase-Field Modeling , 1999 .
[12] M. Gurtin,et al. TWO-PHASE BINARY FLUIDS AND IMMISCIBLE FLUIDS DESCRIBED BY AN ORDER PARAMETER , 1995, patt-sol/9506001.
[13] Ping Sheng,et al. Molecular scale contact line hydrodynamics of immiscible flows. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.
[14] Chen,et al. Interface and contact line motion in a two phase fluid under shear flow , 2000, Physical review letters.
[15] Yasufumi Yamamoto,et al. Modeling of the dynamic wetting behavior in a capillary tube considering the macroscopic–microscopic contact angle relation and generalized Navier boundary condition , 2014 .
[16] L. Pismen. Mesoscopic hydrodynamics of contact line motion , 2002 .
[17] A. Reusken,et al. Finite element methods for a class of continuum models for immiscible flows with moving contact lines , 2015, 1510.03160.
[18] E. Weinan,et al. Boundary Conditions for the Moving Contact Line Problem , 2007 .
[19] Xianmin Xu,et al. Analysis of the Cahn–Hilliard Equation with a Relaxation Boundary Condition Modeling the Contact Angle Dynamics , 2014, Archive for Rational Mechanics and Analysis.
[20] R. G. Cox. The dynamics of the spreading of liquids on a solid surface. Part 1. Viscous flow , 1986, Journal of Fluid Mechanics.
[21] Peng Song,et al. A diffuse-interface method for two-phase flows with soluble surfactants , 2011, J. Comput. Phys..
[22] J.-F. Gerbeau,et al. Generalized Navier boundary condition and geometric conservation law for surface tension , 2008, 0804.1563.
[23] J. E. Hilliard,et al. Free Energy of a Nonuniform System. I. Interfacial Free Energy , 1958 .
[24] Roberto F. Ausas,et al. Variational formulations for surface tension, capillarity and wetting , 2011 .
[25] Min Gao,et al. A gradient stable scheme for a phase field model for the moving contact line problem , 2012, J. Comput. Phys..
[26] Robert L. Pego,et al. Front migration in the nonlinear Cahn-Hilliard equation , 1989, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.
[27] B. Andreotti,et al. Moving Contact Lines: Scales, Regimes, and Dynamical Transitions , 2013 .
[28] James J. Feng,et al. Wall energy relaxation in the Cahn–Hilliard model for moving contact lines , 2009 .
[29] D. M. Anderson,et al. DIFFUSE-INTERFACE METHODS IN FLUID MECHANICS , 1997 .
[30] T. Blake. The physics of moving wetting lines. , 2006, Journal of colloid and interface science.
[31] Hang Ding,et al. Numerical Simulations of Flows with Moving Contact Lines , 2014 .
[32] J. E. Hilliard,et al. Free Energy of a Nonuniform System. I. Interfacial Free Energy and Free Energy of a Nonuniform System. III. Nucleation in a Two‐Component Incompressible Fluid , 2013 .
[33] Yi Shi,et al. A finite element method for the numerical solution of the coupled Cahn-Hilliard and Navier-Stokes system for moving contact line problems , 2012, J. Comput. Phys..
[34] Lin Wang,et al. On Efficient Second Order Stabilized Semi-implicit Schemes for the Cahn–Hilliard Phase-Field Equation , 2017, J. Sci. Comput..
[35] Michael J. Miksis,et al. The effect of the contact line on droplet spreading , 1991, Journal of Fluid Mechanics.
[36] James J. Feng,et al. Can diffuse-interface models quantitatively describe moving contact lines? , 2011 .
[37] Chunfeng Zhou,et al. Sharp-interface limit of the Cahn–Hilliard model for moving contact lines , 2010, Journal of Fluid Mechanics.
[38] L. Marino,et al. The sharp-interface limit of the Cahn–Hilliard/Navier–Stokes model for binary fluids , 2013, Journal of Fluid Mechanics.
[39] E. B. Dussan,et al. LIQUIDS ON SOLID SURFACES: STATIC AND DYNAMIC CONTACT LINES , 1979 .
[40] Patrick Patrick Anderson,et al. On scaling of diffuse-interface models , 2006 .
[41] Ping Sheng,et al. Moving contact line on chemically patterned surfaces , 2008, Journal of Fluid Mechanics.
[42] Feng Chen,et al. An efficient and energy stable scheme for a phase‐field model for the moving contact line problem , 2016 .
[43] P. Spelt. A level-set approach for simulations of flows with multiple moving contact lines with hysteresis , 2005 .
[44] S. Fielding,et al. Moving contact line dynamics: from diffuse to sharp interfaces , 2015, Journal of Fluid Mechanics.
[45] Serafim Kalliadasis,et al. On the moving contact line singularity: Asymptotics of a diffuse-interface model , 2012, The European physical journal. E, Soft matter.
[46] J. Lowengrub,et al. Quasi–incompressible Cahn–Hilliard fluids and topological transitions , 1998, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.
[47] J. Cahn,et al. A microscopic theory for antiphase boundary motion and its application to antiphase domain coasening , 1979 .
[48] James J. Feng,et al. A diffuse-interface method for simulating two-phase flows of complex fluids , 2004, Journal of Fluid Mechanics.
[49] R. Rioboo,et al. Dynamics of wetting revisited. , 2009, Langmuir : the ACS journal of surfaces and colloids.
[50] Xiaofeng Yang,et al. Efficient Second Order Unconditionally Stable Schemes for a Phase Field Moving Contact Line Model Using an Invariant Energy Quadratization Approach , 2018, SIAM J. Sci. Comput..
[51] Gunduz Caginalp,et al. Convergence of the phase field model to its sharp interface limits , 1998, European Journal of Applied Mathematics.
[52] G. Amberg,et al. Modeling of dynamic wetting far from equilibrium , 2009 .
[53] P. Sheng,et al. A variational approach to moving contact line hydrodynamics , 2006, Journal of Fluid Mechanics.
[54] Yulii D. Shikhmurzaev,et al. The moving contact line on a smooth solid surface , 1993 .
[55] David Jacqmin,et al. Contact-line dynamics of a diffuse fluid interface , 2000, Journal of Fluid Mechanics.
[56] A. Wagner,et al. Lattice Boltzmann simulations of contact line motion. I. Liquid-gas systems. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.
[57] E. Weinan,et al. Derivation of continuum models for the moving contact line problem based on thermodynamic principles , 2011 .
[58] J. Coninck,et al. Dynamics of wetting and Kramers’ theory , 2011 .
[59] Haijun Yu,et al. Convergence Analysis of an Unconditionally Energy Stable Linear Crank-Nicolson Scheme for the Cahn-Hilliard Equation , 2017, Journal of Mathematical Study.
[60] Xiaofeng Yang,et al. Numerical approximations for a phase-field moving contact line model with variable densities and viscosities , 2017, J. Comput. Phys..
[61] Min Gao,et al. An efficient scheme for a phase field model for the moving contact line problem with variable density and viscosity , 2014, J. Comput. Phys..
[62] Ping Sheng,et al. Power-law slip profile of the moving contact line in two-phase immiscible flows. , 2004, Physical review letters.
[63] Abbas Fakhari,et al. Diffuse interface modeling of three-phase contact line dynamics on curved boundaries: A lattice Boltzmann model for large density and viscosity ratios , 2017, J. Comput. Phys..
[64] Zhou,et al. Dynamics of immiscible-fluid displacement in a capillary tube. , 1990, Physical Review Letters.
[65] Jens Eggers,et al. Contact line motion for partially wetting fluids. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.
[66] Philippe Marmottant,et al. On spray formation , 2004, Journal of Fluid Mechanics.
[67] Xianmin Xu,et al. Analysis of Wetting and Contact Angle Hysteresis on Chemically Patterned Surfaces , 2011, SIAM J. Appl. Math..
[68] Akio Nakahara,et al. Position control of desiccation cracks by memory effect and Faraday waves , 2013, The European Physical Journal E.
[69] J. Li,et al. Numerical simulation of moving contact line problems using a volume-of-fluid method , 2001 .
[70] L. Schwartz,et al. Simulation of Droplet Motion on Low-Energy and Heterogeneous Surfaces , 1998 .
[71] Pomeau,et al. Disjoining potential and spreading of thin liquid layers in the diffuse-interface model coupled to hydrodynamics , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.