Abstract
We present a volume-preserving scheme for two-phase immiscible incompressible flows using an immersed boundary method (IBM) in a three-dimensional space. The two-phase IBM employs a mixture of Eulerian and Lagrangian variables, where the fluid interface is represented by discrete Lagrangian markers exerting surface tension forces to the Eulerian fluid domain and the markers are advected by the fluid velocity. The interactions between the Lagrangian markers and the fluid variables are linked by the discretized Dirac delta function. The present study extends the previous two-dimensional research (Li et al., Volume preserving immersed boundary methods for two-phase fluid flows, Int. J. Numer. Meth. Fluids 69 (2012) 842-858) to the three-dimensional space. The key idea of the proposed method is relocating surface points along the normal directions to conserve the total volume. We perform a number of numerical experiments to show the efficiency and accuracy of the proposed method.
| Original language | English |
|---|---|
| Pages (from-to) | 36-46 |
| Number of pages | 11 |
| Journal | Computer Methods in Applied Mechanics and Engineering |
| Volume | 257 |
| DOIs | |
| Publication status | Published - 2013 Apr 5 |
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Keywords
- Finite difference
- Immersed boundary method
- Multigrid method
- Two-phase fluid flow
- Volume-preserving
ASJC Scopus subject areas
- Computer Science Applications
- Computational Mechanics
- Mechanics of Materials
- Mechanical Engineering
- Physics and Astronomy(all)
Cite this
Three-dimensional volume-conserving immersed boundary model for two-phase fluid flows. / Li, Yibao; Yun, Ana; Lee, Dongsun; Shin, Jaemin; Jeong, Darae; Kim, Junseok.
In: Computer Methods in Applied Mechanics and Engineering, Vol. 257, 05.04.2013, p. 36-46.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Three-dimensional volume-conserving immersed boundary model for two-phase fluid flows
AU - Li, Yibao
AU - Yun, Ana
AU - Lee, Dongsun
AU - Shin, Jaemin
AU - Jeong, Darae
AU - Kim, Junseok
PY - 2013/4/5
Y1 - 2013/4/5
N2 - We present a volume-preserving scheme for two-phase immiscible incompressible flows using an immersed boundary method (IBM) in a three-dimensional space. The two-phase IBM employs a mixture of Eulerian and Lagrangian variables, where the fluid interface is represented by discrete Lagrangian markers exerting surface tension forces to the Eulerian fluid domain and the markers are advected by the fluid velocity. The interactions between the Lagrangian markers and the fluid variables are linked by the discretized Dirac delta function. The present study extends the previous two-dimensional research (Li et al., Volume preserving immersed boundary methods for two-phase fluid flows, Int. J. Numer. Meth. Fluids 69 (2012) 842-858) to the three-dimensional space. The key idea of the proposed method is relocating surface points along the normal directions to conserve the total volume. We perform a number of numerical experiments to show the efficiency and accuracy of the proposed method.
AB - We present a volume-preserving scheme for two-phase immiscible incompressible flows using an immersed boundary method (IBM) in a three-dimensional space. The two-phase IBM employs a mixture of Eulerian and Lagrangian variables, where the fluid interface is represented by discrete Lagrangian markers exerting surface tension forces to the Eulerian fluid domain and the markers are advected by the fluid velocity. The interactions between the Lagrangian markers and the fluid variables are linked by the discretized Dirac delta function. The present study extends the previous two-dimensional research (Li et al., Volume preserving immersed boundary methods for two-phase fluid flows, Int. J. Numer. Meth. Fluids 69 (2012) 842-858) to the three-dimensional space. The key idea of the proposed method is relocating surface points along the normal directions to conserve the total volume. We perform a number of numerical experiments to show the efficiency and accuracy of the proposed method.
KW - Finite difference
KW - Immersed boundary method
KW - Multigrid method
KW - Two-phase fluid flow
KW - Volume-preserving
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U2 - 10.1016/j.cma.2013.01.009
DO - 10.1016/j.cma.2013.01.009
M3 - Article
VL - 257
SP - 36
EP - 46
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
SN - 0045-7825
ER -