Multiscale modelling of evolving foams

Saye, R. I.; Sethian, J. A.

doi:10.1016/j.jcp.2016.02.077

Title: Multiscale modelling of evolving foams

Journal Article · Wed Jun 01 00:00:00 EDT 2016 · Journal of Computational Physics

DOI:https://doi.org/10.1016/j.jcp.2016.02.077· OSTI ID:1435067

Saye, R. I. ^[1]; Sethian, J. A. ^[1]

Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)

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.

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Research Organization:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); University of California, Berkeley, CA (United States); American Australian Association; National Science Foundation (NSF)

Grant/Contract Number:: AC02-05CH11231

OSTI ID:: 1435067

Alternate ID(s):: OSTI ID: 1325281

Journal Information:: Journal of Computational Physics, Vol. 315, Issue C; ISSN 0021-9991

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 11 works

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