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논문 기본 정보
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- 학술저널
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- 한국산업응용수학회 JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS Journal of the Korean Society for Industrial and Applied Mathematics Vol.20 No.1
- 발행연도
- 2016.3
- 수록면
- 83 - 106 (24page)
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This paper reviews and compares three different methods for modeling incompressible and immiscible ternary fluid flows: the immersed boundary, level set, and phase-field methods. The immersed boundary method represents the moving interface by tracking the Lagrangian particles. In the level set method, an interface is defined implicitly by using the signed distance function, and its evolution is governed by a transport equation. In the phase-field method, the advective Cahn–Hilliard equation is used as the evolution equation, and its order parameter also implicitly defines an interface. Each method has its merits and demerits. We perform the several simulations under different conditions to examine the merits and demerits of each method. Based on the results, we determine the most suitable method depending on the specific modeling needs of different situations.
목차
ABSTRACT
1. INTRODUCTION
2. GOVERNING EQUATIONS AND INTERFACE REPRESENTATION
3. SURFACE TENSION FORCE
4. NUMERICAL SOLUTION
5. NUMERICAL EXPERIMENTS
6. CONCLUSION
REFERENCES
참고문헌 (49)
참고문헌 신청
J.M. Park and P.D. Anderson, A ternary model for double-emulsion formation in a capillary microfluidic device, Lab Chip, 12(15) (2012), 2672–2677.
L. Szalm´as, Viscous velocity, diffusion and thermal slip coefficients for ternary gas mixtures, Euro. J. Mech. B-Fluid., 53 (2015), 264–271.
A.S. Utada, E. Lorenceau, D.R. Link, P.D. Kaplan, and H.A. Stone, Weitz DA. Monodisperse double emulsions generated from a microcapillary device, Science, 308(5721) (2005), 537–541.
C.S. Peskin, Numerical analysis of blood flow in the heart, J. Comput. Phys., 25(3) (1977), 220–252.
H.C. Kan, H.S. Udaykumar, W. Shyy, and R. Tran-Son-Tay, Hydrodynamics of a compound drop with application to leukocyte modeling, Phys. Fluid., 10(4) (1998), 760–774.
L. Szalm´as, Viscous velocity, diffusion and thermal slip coefficients for ternary gas mixtures, Euro. J. Mech. B-Fluid., 53 (2015), 264–271.
A.S. Utada, E. Lorenceau, D.R. Link, P.D. Kaplan, and H.A. Stone, Weitz DA. Monodisperse double emulsions generated from a microcapillary device, Science, 308(5721) (2005), 537–541.
C.S. Peskin, Numerical analysis of blood flow in the heart, J. Comput. Phys., 25(3) (1977), 220–252.
H.C. Kan, H.S. Udaykumar, W. Shyy, and R. Tran-Son-Tay, Hydrodynamics of a compound drop with application to leukocyte modeling, Phys. Fluid., 10(4) (1998), 760–774.
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UCI(KEPA) : I410-ECN-0101-2016-410-002754264