An adaptive, formally second order accurate version of the immersed boundary method

  • Authors:

  • Boyce E. Griffith;Richard D. Hornung;David M. McQueen;Charles S. Peskin

  • Affiliations:

  • Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York, NY 10012, USA;Center for Applied Scientific Computing, Lawrence Livermore National Laboratory, P.O. Box 808, L-561, Livermore, CA 94551, USA;Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York, NY 10012, USA;Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York, NY 10012, USA

  • Venue:
  • Journal of Computational Physics
  • Year:
  • 2007

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Abstract

In this note, we examine the implications of Cahn-Hilliard diffusion on mass conservation when using a phase-field model for simulating two-phase flows. Even though the phase-field variable @f is conserved globally, a drop shrinks spontaneously while ...