A level-set approach for simulations of flows with multiple moving contact lines with hysteresis

Authors:
Peter D. M. Spelt
Affiliations:
School of Mathematical Sciences, University of Nottingham, Nottingham NG7 2RD, UK
Venue:
Journal of Computational Physics
Year:
2005

Citing 5
Cited 7

A numerical and asymptotic study of some third-order ordinary differential equations relevant to draining and coating flows

SIAM Review
A Numerical Method for the Incompressible Navier--Stokes Equations Based on an Approximate Projection

SIAM Journal on Scientific Computing
An adaptive level set approach for incompressible two-phase flows

Journal of Computational Physics
A remark on computing distance functions

Journal of Computational Physics
Numerical simulation of moving contact line problems using a volume-of-fluid method

Journal of Computational Physics

A lattice Boltzmann model for contact-line motions

Computers & Mathematics with Applications
A mesh-dependent model for applying dynamic contact angles to VOF simulations

Journal of Computational Physics
Numerical simulation of static and sliding drop with contact angle hysteresis

Journal of Computational Physics
Modelling two-phase flow in porous media at the pore scale using the volume-of-fluid method

Journal of Computational Physics
Development of an immersed boundary-phase field-lattice Boltzmann method for Neumann boundary condition to study contact line dynamics

Journal of Computational Physics
An efficient computational model for macroscale simulations of moving contact lines

Journal of Computational Physics
A level-set method for two-phase flows with moving contact line and insoluble surfactant

Journal of Computational Physics

Quantified Score

Hi-index	31.48

Visualization

Abstract

The level-set method of Sussman et al. [J. Comput. Phys. 148 (1999) 81] is extended such that flows with multiple moving contact lines can be simulated, accounting for inertia, a relation between contact-line speed and contact angle, slip and contact-line hysteresis. The convergence properties of the method are investigated, with particular attention on the resolution of the contact-line stress singularity. Results are compared with a lubrication theory for spreading droplets.