Assessment of sharp- and continuous-interface methods for drop in static equilibrium

Computers and Fluids

Volumn 33, Issue 7, 2004, Pages 917-926

  Ye, Tao ^a   Shyy, Wei ^a   Tai, Cheng Feng ^a   Chung, Jacob N ^a  

^a UNIVERSITY OF FLORIDA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MULTIPHASE FLOW; PHASE EQUILIBRIA; PHASE SEPARATION;

LIQUID PHASES;

PHASE INTERFACES;

COMPUTATIONAL MODEL; FLUID; MATHEMATICAL METHOD;

EID: 1542535024     PISSN: 00457930     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compfluid.2003.08.002     Document Type: Article

References (19)

1. Ryskin G. Leal L.G. Numerical solution of free boundary problems in fluid mechanics, Part I, II, III J. Fluid Mech. 148 1984 1-43
2. Harlow F.H. Welch J.E. Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface Phys. Fluids 8 1965 2182-2189
3. Vicelli J.A. A method for including arbitrary external boundaries in the MAC incompressible fluid computing technique J. Comput. Phys. 4 1969 543-551
4. Peskin C.S. Numerical analysis of blood flow in the heart J. Comput. Phys. 25 1977 220-252
5. Hirt C.W. Nichols B.D. Volume of fluid (VOF) method for the dynamics of free boundaries J. Comput. Phys. 39 1981 201-225
6. Shyy W. Udaykumar H.S. Rao M.M. Smith R.W. Computational Fluid Dynamics with Moving Boundaries 1996 Hemisphere Washington, DC
7. Shyy W. Computational Modeling for Fluid Flow and Interfacial Transport 1994 Elsevier Amsterdam, Netherlands
8. Shyy W. Francois M. Udaykumar H.S. N'dri N. Tran-Son-Tay R. Moving boundaries in micro-scale biofluid dynamics Appl. Mech. Rev. 54 5 2001 405-453
9. Osher S. Sethian J.A. Fronts propagating with curvature dependent speed: Algorithms based on Hamilton-Jocobi formulations J. Comput. Phys. 79 1988 12-49
10. Francois M. Shyy W. Micro-scale drop dynamics for heat transfer enhancement Progr. Aerospace Sci. 38 2002 275-304
11. Williams M.W. Kothe D.B. Puckett E.G. Accuracy and convergence of continuum surface-tension models Shyy W. Narayanan R. Fluid Dynamics At Interfaces 1999 Cambridge University Press New York
12. LeVeque R.J. Li Z. The immersed interface method for elliptic equations with discontinuous coefficients and singular sources SIAM J. Numer. Anal. 31 4 1994 1019
13. Udaykumar H.S. Shyy W. Rao M.M. ELAFINT: A mixed, Eulerian-Lagrangian method for fluid flows with complex and moving boundaries Int. J. Numer. Meth. Fluids 22 1996 691-712
14. Udaykumar H.S. Mittal R. Shyy W. Computation of solid-liquid phase fronts in the sharp interface limit on fixed grids J. Comput. Phys. 153 1999 535-574
15. Ye T. Shyy W. Chung J.N. A fixed-grid, sharp-interface method for bubble dynamics and phase change J. Comput. Phys. 174 2001 781-815
16. Ye T. Mittal R. Udaykumar H.S. Shyy W. An accurate cartesian grid method for viscous incompressible flows with complex immersed boundaries J. Comput. Phys. 156 1999 209-240
17. Lörstad D, Francois M, Shyy W, Fuchs L. Assessment of volume of fluid and immersed boundary methods for droplet computations, AIAA Paper No. 2003-1282, 2003
18. Kothe DB, Rider WJ, Mosso SJ, Brock JS, Hochstein JI. volume tracking of interfaces having surface tension in two and three dimensions, AIAA paper 96-0859, 1996
19. Farin G. Curves and Surface for Computer-Aided Geometric Design, A Practical Guide 4 ed. 1997 Academic Press