Three-dimensional volume-conserving immersed boundary model for two-phase fluid flows

Yibao Li; Ana Yun; Dongsun Lee; Jaemin Shin; Darae Jeong; Junseok Kim

doi:10.1016/j.cma.2013.01.009

Three-dimensional volume-conserving immersed boundary model for two-phase fluid flows

Yibao Li, Ana Yun, Dongsun Lee, Jaemin Shin, Darae Jeong, Junseok Kim

Research output: Contribution to journal › Review article › peer-review

28 Citations (Scopus)

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	https://doi.org/10.1016/j.cma.2013.01.009
Publication status	Published - 2013 Apr 5

Bibliographical note

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.

Keywords

Finite difference
Immersed boundary method
Multigrid method
Two-phase fluid flow
Volume-preserving

ASJC Scopus subject areas

Computational Mechanics
Mechanics of Materials
Mechanical Engineering
General Physics and Astronomy
Computer Science Applications

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10.1016/j.cma.2013.01.009

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title = "Three-dimensional volume-conserving immersed boundary model for two-phase fluid flows",

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.",

keywords = "Finite difference, Immersed boundary method, Multigrid method, Two-phase fluid flow, Volume-preserving",

author = "Yibao Li and Ana Yun and Dongsun Lee and Jaemin Shin and Darae Jeong and Junseok Kim",

note = "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.",

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doi = "10.1016/j.cma.2013.01.009",

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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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DO - 10.1016/j.cma.2013.01.009

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VL - 257

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JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

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Three-dimensional volume-conserving immersed boundary model for two-phase fluid flows

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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