Multiscale modelling of evolving foams
Abstract
We present a set of multi-scale interlinked algorithms to model the dynamics of evolving foams. These algorithms couple the key effects of macroscopic bubble rearrangement, thin film drainage, and membrane rupture. For each of the mechanisms, we construct consistent and accurate algorithms, and couple them together to work across the wide range of space and time scales that occur in foam dynamics. These algorithms include second order finite difference projection methods for computing incompressible fluid flow on the macroscale, second order finite element methods to solve thin film drainage equations in the lamellae and Plateau borders, multiphase Voronoi Implicit Interface Methods to track interconnected membrane boundaries and capture topological changes, and Lagrangian particle methods for conservative liquid redistribution during rearrangement and rupture. We derive a full set of numerical approximations that are coupled via interface jump conditions and flux boundary conditions, and show convergence for the individual mechanisms. We demonstrate our approach by computing a variety of foam dynamics, including coupled evolution of three-dimensional bubble clusters attached to an anchored membrane and collapse of a foam cluster.
- Authors:
-
- Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
- Publication Date:
- Research Org.:
- Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); University of California, Berkeley, CA (United States); American Australian Association; National Science Foundation (NSF)
- OSTI Identifier:
- 1435067
- Alternate Identifier(s):
- OSTI ID: 1325281
- Grant/Contract Number:
- AC02-05CH11231
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of Computational Physics
- Additional Journal Information:
- Journal Volume: 315; Journal Issue: C; Journal ID: ISSN 0021-9991
- Publisher:
- Elsevier
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 97 MATHEMATICS AND COMPUTING; foams; voronoi implicit interface methods; multiscale multiphysics; interface dynamics; bubbles; thin-film equations
Citation Formats
Saye, R. I., and Sethian, J. A. Multiscale modelling of evolving foams. United States: N. p., 2016.
Web. doi:10.1016/j.jcp.2016.02.077.
Saye, R. I., & Sethian, J. A. Multiscale modelling of evolving foams. United States. https://doi.org/10.1016/j.jcp.2016.02.077
Saye, R. I., and Sethian, J. A. Wed .
"Multiscale modelling of evolving foams". United States. https://doi.org/10.1016/j.jcp.2016.02.077. https://www.osti.gov/servlets/purl/1435067.
@article{osti_1435067,
title = {Multiscale modelling of evolving foams},
author = {Saye, R. I. and Sethian, J. A.},
abstractNote = {We present a set of multi-scale interlinked algorithms to model the dynamics of evolving foams. These algorithms couple the key effects of macroscopic bubble rearrangement, thin film drainage, and membrane rupture. For each of the mechanisms, we construct consistent and accurate algorithms, and couple them together to work across the wide range of space and time scales that occur in foam dynamics. These algorithms include second order finite difference projection methods for computing incompressible fluid flow on the macroscale, second order finite element methods to solve thin film drainage equations in the lamellae and Plateau borders, multiphase Voronoi Implicit Interface Methods to track interconnected membrane boundaries and capture topological changes, and Lagrangian particle methods for conservative liquid redistribution during rearrangement and rupture. We derive a full set of numerical approximations that are coupled via interface jump conditions and flux boundary conditions, and show convergence for the individual mechanisms. We demonstrate our approach by computing a variety of foam dynamics, including coupled evolution of three-dimensional bubble clusters attached to an anchored membrane and collapse of a foam cluster.},
doi = {10.1016/j.jcp.2016.02.077},
journal = {Journal of Computational Physics},
number = C,
volume = 315,
place = {United States},
year = {Wed Jun 01 00:00:00 EDT 2016},
month = {Wed Jun 01 00:00:00 EDT 2016}
}
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