### 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 language | English (US) |
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Pages (from-to) | 529-541 |

Number of pages | 13 |

Journal | Journal of Computational Physics |

Volume | 207 |

Issue number | 2 |

DOIs | |

State | Published - Aug 10 2005 |

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### 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.

Research output: Contribution to journal › Article

*Journal of Computational Physics*, vol. 207, no. 2, pp. 529-541. https://doi.org/10.1016/j.jcp.2005.01.022

}

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 -