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Traveling Wavelets for the Simulation of a Hele–Shaw Flow with Surface Tension

✍ Scribed by J. Elezgaray

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
54 KB
Volume
6
Category
Article
ISSN
1063-5203

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✦ Synopsis

The singularity dynamics of two immiscible fluids in a Hele-Shaw cell is studied using the traveling wavelet method. The singularities of the conformal mapping of the flow are accurately approximated by the solutions of a system of ordinary differential equations for the position of couples of zeros and poles. This model also describes secondary tip-splitting instabilities and remains valid for values of the surface tension and time intervals where previous perturbative calculations do not apply.

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