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 language | English (US) |
|---|---|
| Article number | 062101 |
| Journal | Physics of Fluids |
| Volume | 20 |
| Issue number | 6 |
| DOIs | |
| State | Published - Jun 2008 |
Fingerprint
ASJC Scopus subject areas
- Fluid Flow and Transfer Processes
- Computational Mechanics
- Mechanics of Materials
- Physics and Astronomy(all)
- Condensed Matter Physics
Cite this
Numerical study of incompressible fluid dynamics with nonuniform density by the immersed boundary method. / Kim, Yongsam; Peskin, Charles.
In: Physics of Fluids, Vol. 20, No. 6, 062101, 06.2008.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Numerical study of incompressible fluid dynamics with nonuniform density by the immersed boundary method
AU - Kim, Yongsam
AU - Peskin, Charles
PY - 2008/6
Y1 - 2008/6
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=47149102526&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=47149102526&partnerID=8YFLogxK
U2 - 10.1063/1.2931521
DO - 10.1063/1.2931521
M3 - Article
VL - 20
JO - Physics of Fluids
JF - Physics of Fluids
SN - 1070-6631
IS - 6
M1 - 062101
ER -