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JoT3(2002)037 JOURNAL OF TURBULENCEJOT
 

Summary: JoT3(2002)037
JOURNAL OF TURBULENCEJOT
http://jot.iop.org/
Topological reconfiguration in
expanding Hele­Shaw flow
Hector D Ceniceros1
and Jos´e M Villalobos2
1 Department of Mathematics, University of California, Santa Barbara,
CA 93106, USA
2 Department of Mathematics, University of Southern California, Los Angeles,
CA 90089, USA
E-mail: hdc@math.ucsb.edu
Received 23 September 2002
Published 9 October 2002
Abstract. The possibility of a finite-time topological reconnection in the ex-
panding Hele­Shaw flow of immiscible fluids is numerically investigated. The ini-
tial conditions correspond to those of a zero-surface tension exact solution found
by Howison that develops cusp singularities by interface overlapping and thus con-
stitute a natural candidate for potential topological singularities in the presence
of small surface tension. Using a spectrally accurate boundary integral method

  

Source: Akhmedov, Azer - Department of Mathematics, University of California at Santa Barbara

 

Collections: Mathematics