A boundary integral formulation of quasi-steady fluid wetting

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

This paper considers the motion of a liquid droplet on a solid surface. When capillary relaxation is much faster than the motion of the contact line, the fluid geometry and its dynamical evolution can be characterized in terms of the contact line alone. This problem can be cast in terms of boundary integral equations involving a Dirichlet-Neumann map coupled to a volume conservation constraint. A computational method for this formulation is described which has two principal advantages over approaches which track the entire free surface: (1) only the curve which describes the contact line is computed and (2) the resulting method exhibits only mild numerical stiffness, obviating the need for implicit timestepping. Effects of both capillary and body forces are considered. Computational examples include surface inhomogeneities, topological transitions and cusp formation.

Original languageEnglish (US)
Pages (from-to)529-541
Number of pages13
JournalJournal of Computational Physics
Volume207
Issue number2
DOIs
StatePublished - Aug 10 2005

Fingerprint

wetting
Wetting
formulations
Fluids
fluids
cusps
solid surfaces
integral equations
conservation
casts
stiffness
inhomogeneity
Boundary integral equations
Computational methods
Contacts (fluid mechanics)
Conservation
curves
liquids
geometry
Stiffness

ASJC Scopus subject areas

  • Computer Science Applications
  • Physics and Astronomy(all)

Cite this

A boundary integral formulation of quasi-steady fluid wetting. / Glasner, Karl B.

In: Journal of Computational Physics, Vol. 207, No. 2, 10.08.2005, p. 529-541.

Research output: Contribution to journalArticle

@article{85d8c2a6652a491abf1713df05ff7ce3,
title = "A boundary integral formulation of quasi-steady fluid wetting",
abstract = "This paper considers the motion of a liquid droplet on a solid surface. When capillary relaxation is much faster than the motion of the contact line, the fluid geometry and its dynamical evolution can be characterized in terms of the contact line alone. This problem can be cast in terms of boundary integral equations involving a Dirichlet-Neumann map coupled to a volume conservation constraint. A computational method for this formulation is described which has two principal advantages over approaches which track the entire free surface: (1) only the curve which describes the contact line is computed and (2) the resulting method exhibits only mild numerical stiffness, obviating the need for implicit timestepping. Effects of both capillary and body forces are considered. Computational examples include surface inhomogeneities, topological transitions and cusp formation.",
author = "Glasner, {Karl B}",
year = "2005",
month = "8",
day = "10",
doi = "10.1016/j.jcp.2005.01.022",
language = "English (US)",
volume = "207",
pages = "529--541",
journal = "Journal of Computational Physics",
issn = "0021-9991",
publisher = "Academic Press Inc.",
number = "2",

}

TY - JOUR

T1 - A boundary integral formulation of quasi-steady fluid wetting

AU - Glasner, Karl B

PY - 2005/8/10

Y1 - 2005/8/10

N2 - This paper considers the motion of a liquid droplet on a solid surface. When capillary relaxation is much faster than the motion of the contact line, the fluid geometry and its dynamical evolution can be characterized in terms of the contact line alone. This problem can be cast in terms of boundary integral equations involving a Dirichlet-Neumann map coupled to a volume conservation constraint. A computational method for this formulation is described which has two principal advantages over approaches which track the entire free surface: (1) only the curve which describes the contact line is computed and (2) the resulting method exhibits only mild numerical stiffness, obviating the need for implicit timestepping. Effects of both capillary and body forces are considered. Computational examples include surface inhomogeneities, topological transitions and cusp formation.

AB - This paper considers the motion of a liquid droplet on a solid surface. When capillary relaxation is much faster than the motion of the contact line, the fluid geometry and its dynamical evolution can be characterized in terms of the contact line alone. This problem can be cast in terms of boundary integral equations involving a Dirichlet-Neumann map coupled to a volume conservation constraint. A computational method for this formulation is described which has two principal advantages over approaches which track the entire free surface: (1) only the curve which describes the contact line is computed and (2) the resulting method exhibits only mild numerical stiffness, obviating the need for implicit timestepping. Effects of both capillary and body forces are considered. Computational examples include surface inhomogeneities, topological transitions and cusp formation.

UR - http://www.scopus.com/inward/record.url?scp=18844446208&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=18844446208&partnerID=8YFLogxK

U2 - 10.1016/j.jcp.2005.01.022

DO - 10.1016/j.jcp.2005.01.022

M3 - Article

VL - 207

SP - 529

EP - 541

JO - Journal of Computational Physics

JF - Journal of Computational Physics

SN - 0021-9991

IS - 2

ER -