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
N1 - Funding Information:
J.S. Kim was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (No. 2011-0023794 ). The authors thank Ha-Kyu Song for many useful discussions. The authors also wish to thank the reviewers for the constructive and helpful comments on the revision of this article.
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 - Review article
AN - SCOPUS:84873888841
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 -