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Molecular scale contact line hydrodynamics of immiscible flows.
From extensive molecular dynamics simulations on immiscible two-phase flows, we find the relative slipping between the fluids and the solid wall everywhere to follow the generalized Navier boundaryExpand
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A gradient stable scheme for a phase field model for the moving contact line problem
TLDR
In this paper, an efficient numerical scheme is designed for a phase field model for the moving contact line problem, which consists of a coupled system of the Cahn-Hilliard and Navier-Stokes equations with the generalized Navier boundary condition. Expand
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Numerical Methods for the Landau-Lifshitz Equation
TLDR
We discuss numerical schemes for various forms of the Landau--Lifshitz equation. Expand
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Molecular Hydrodynamics of the Moving Contact Line in Two-Phase Immiscible Flows
The no-slip boundary condition, i.e., zero fluid velocity relative to the solid at the fluid-solid interface, has been very successful in describing many macroscopic flows. A problem of principleExpand
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An efficient scheme for a phase field model for the moving contact line problem with variable density and viscosity
TLDR
We develop an efficient numerical method for the two phase moving contact line problem with variable density, viscosity, and slip length. Expand
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Hydrodynamic slip boundary condition at chemically patterned surfaces: a continuum deduction from molecular dynamics.
We investigate the slip boundary condition for flows past a chemically patterned surface. Molecular dynamics simulations show that fluid forces and stresses vary laterally along the patternedExpand
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Power-law slip profile of the moving contact line in two-phase immiscible flows.
Large-scale molecular dynamics (MD) simulations on two-phase immiscible flows show that, associated with the moving contact line, there is a very large 1/x partial-slip region where x denotes theExpand
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A least-squares/finite element method for the numerical solution of the Navier-Stokes-Cahn-Hilliard system modeling the motion of the contact line
TLDR
In this article we discuss the numerical solution of the Navier-Stokes-Cahn-Hilliard system modeling the motion of the contact line separating two immiscible incompressible viscous fluids near a solid wall. Expand
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An efficient threshold dynamics method for wetting on rough surfaces
TLDR
In this paper, we develop an efficient volume preserving threshold dynamics method for simulating wetting on rough surfaces. Expand
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Precursor simulations in spreading using a multi-mesh adaptive finite element method
TLDR
We propose an efficient multi-mesh adaptive finite element method which approximates different components of the solution (velocity, pressure and phase variable) on different h-adaptive meshes because of their strongly different local behaviors. Expand
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