A numerical study of the effect of surface tension and noise on an expanding Hele-Shaw bubble

  title={A numerical study of the effect of surface tension and noise on an expanding Hele-Shaw bubble},
  author={W U Dai and Michael J. Shelley},
In this paper, the dynamics of an interface under the influence of surface tension is studied numerically for flow in the Hele-Shaw cell, where the interface separates an expanding bubble of inviscid fluid from a displaced viscous fluid. Of special interest is the long-time behavior of the so-called q-pole initial data, whose motion is explicitly known and globally smooth for the zero surface tension flow. The numerical method is spectrally accurate and based upon a boundary integral… CONTINUE READING


Publications referenced by this paper.
Showing 1-10 of 16 references

Convergence of numerical methods for ill - posed problems using numerical filtering , ”

  • T. Hou Beale, J. Lowengrub
  • Comm . Pure Appl . Math .
  • 1993

Evolution of Hele - Shaw interface for small surface tension , ” submitted to Proc . R . Sot

  • G. Zocchi Tabeling, A. Libchaber
  • 1993

On the connection between thin vortex layers and vortex sheets

  • S. A. Orszag
  • J . Fluid Mech .
  • 1990

Singularities in complex interface

  • Constantin, L. Kadanoff
  • Philos . Trans . R . Sot . London Ser . A
  • 1990

A fast algorithm for particle summations

  • M. Krook Carrier, C. Pearson
  • J . Comput . Phys .
  • 1987

Interface dynamics and directional solidification : A lattice simulation with biased random walkers

  • L. P. Kadanoff Bensimon, S. Liang, B. I. Shrainman, C. Tang
  • Phys . Rev . A
  • 1987

The instability of long fingers in Hele - Shaw flows

  • G. M. Homsy
  • Europhys . Lett .
  • 1987

A study of singularity formation in a vortex sheet by the point vortex approximation

  • T. Hou CafIisch, J. Lowengrub
  • J . Fluid Mech .
  • 1986

Similar Papers

Loading similar papers…