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

@inproceedings{Dai1999ANS,
  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},
  year={1999}
}
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

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