A finite element method for capillary surfaces with volume constraints

Ulrich Hornung; Hans Mittelmann

doi:10.1016/0021-9991(90)90229-T

A finite element method for capillary surfaces with volume constraints

Ulrich Hornung, Hans Mittelmann

Mathematical and Statistical Sciences, School of (SMSS)

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

Capillary surfaces with prescribed volume are determined numerically. The obstacles that confine the given amount of liquid may be planes in space arbitrarily chosen. Parameters of the problem are the Bond number, the contact angle, and the volume. Results for several examples are presented, such as a drop in a corner and on an edge.

Original language	English (US)
Pages (from-to)	126-136
Number of pages	11
Journal	Journal of Computational Physics
Volume	87
Issue number	1
DOIs	https://doi.org/10.1016/0021-9991(90)90229-T
State	Published - Mar 1990

ASJC Scopus subject areas

Numerical Analysis
Modeling and Simulation
Physics and Astronomy (miscellaneous)
Physics and Astronomy(all)
Computer Science Applications
Computational Mathematics
Applied Mathematics

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10.1016/0021-9991(90)90229-T

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title = "A finite element method for capillary surfaces with volume constraints",

abstract = "Capillary surfaces with prescribed volume are determined numerically. The obstacles that confine the given amount of liquid may be planes in space arbitrarily chosen. Parameters of the problem are the Bond number, the contact angle, and the volume. Results for several examples are presented, such as a drop in a corner and on an edge.",

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AU - Hornung, Ulrich

AU - Mittelmann, Hans

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AB - Capillary surfaces with prescribed volume are determined numerically. The obstacles that confine the given amount of liquid may be planes in space arbitrarily chosen. Parameters of the problem are the Bond number, the contact angle, and the volume. Results for several examples are presented, such as a drop in a corner and on an edge.

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A finite element method for capillary surfaces with volume constraints

Abstract

ASJC Scopus subject areas

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