A moving overset grid method for interface dynamics applied to non-Newtonian Hele-Shaw flow

Petri Fast, Michael J. Shelley

Research output: Contribution to journalArticle

Abstract

We present a novel moving overset grid scheme for the accurate and efficient long-time simulation of an air bubble displacing a non-Newtonian fluid in the prototypical thin film device, the Hele-Shaw cell. We use a two-dimensional generalization of Darcy's law that accounts for shear thinning of a non-Newtonian fluid. In the limit of weak shear thinning, the pressure is found from a ladder of two linear elliptic boundary value problems, each to be solved in the whole fluid domain. A moving body fitted grid is used to resolve the flow near the interface, while most of the fluid domain is covered with a fixed Cartesian grid. Our use of body-conforming grids reduces grid anisotropy effects and allows the accurate modeling of boundary conditions.

Original languageEnglish (US)
Pages (from-to)117-142
Number of pages26
JournalJournal of Computational Physics
Volume195
Issue number1
DOIs
StatePublished - Mar 20 2004

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grids
Fluids
Shear thinning
shear thinning
fluids
Thin film devices
Ladders
Boundary value problems
Anisotropy
ladders
boundary value problems
Boundary conditions
bubbles
boundary conditions
Air
anisotropy
air
thin films
cells
simulation

ASJC Scopus subject areas

  • Computer Science Applications
  • Physics and Astronomy(all)

Cite this

A moving overset grid method for interface dynamics applied to non-Newtonian Hele-Shaw flow. / Fast, Petri; Shelley, Michael J.

In: Journal of Computational Physics, Vol. 195, No. 1, 20.03.2004, p. 117-142.

Research output: Contribution to journalArticle

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