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An Adaptive Spectral Element Method for Two-Fluid Flows

[+] Author Affiliations
Brian T. Helenbrook

Clarkson University, Potsdam, NY

Timothy J. Baker

Princeton University, Princeton, NJ

Paper No. FEDSM2002-31227, pp. 439-446; 8 pages
  • ASME 2002 Joint U.S.-European Fluids Engineering Division Conference
  • Volume 2: Symposia and General Papers, Parts A and B
  • Montreal, Quebec, Canada, July 14–18, 2002
  • Conference Sponsors: Fluids Engineering Division
  • ISBN: 0-7918-3616-9 | eISBN: 0-7918-3600-2
  • Copyright © 2002 by ASME


A new mesh adaptation technique for two dimensional deforming domains has been combined with an Arbitrary-Lagrangian-Eulerian, spectral/hp finite element solver. This combination provides a powerful simulation tool for two-fluid flows; With the spectral/hp finite element method, high accuracy solutions can be obtained efficiently, but by itself this technique is limited to problems with moderate interface deformation. By combining it with a mesh adaptation strategy for deforming domains, large deformation problems can be simulated. In addition, solution-based mesh refinement can be performed which is critical for resolving multi-scale two-fluid problems. The capabilities of these techniques together are demonstrated for some preliminary examples.

Copyright © 2002 by ASME



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