Numerical study of incompressible fluid dynamics with nonuniform density by the immersed boundary method

Yongsam Kim, Charles S. Peskin

Research output: Contribution to journalArticlepeer-review

Abstract

We apply the immersed boundary method to the dynamics of an incompressible fluid with a nonuniform density. In order to take into account both the inertial and gravitational effects of the variable density, the penalty immersed boundary (pIB) method is used [Y. Kim and C. S. Peskin, Phys. Fluids 19, 053103 (2007)]. Incompressible fluid motion with a nonuniform density has been extensively explored both experimentally and computationally. We show that the pIB method is a robust and efficient numerical tool for the simulation of fluids with variable density by conducting computations of some example problems: The falling of a heavier fluid surrounded by a lighter fluid and the Rayleigh-Taylor instabilities in two dimensions and three dimensions and the dynamic stabilization of the Rayleigh-Taylor instability.

Original languageEnglish (US)
Article number062101
JournalPhysics of Fluids
Volume20
Issue number6
DOIs
StatePublished - Jun 2008

ASJC Scopus subject areas

  • Computational Mechanics
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes

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