Numerical simulation of drop impact on a liquid-liquid interface with a multiple marker front-capturing method

Journal of Computational Physics

Volumn 228, Issue 12, 2009, Pages 4444-4467

  Coyajee, Emil ^a   Boersma, Bendiks Jan ^a  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Level Set; Multiphase flow; VOF

Indexed keywords

NAVIER STOKES EQUATIONS; NUMERICAL METHODS; NUMERICAL MODELS; REYNOLDS NUMBER; TWO PHASE FLOW;

AXISYMMETRIC; DROP IMPACT; FLUID FLUID INTERFACES; FRONT CAPTURING; LEVEL SET; LIQUID:LIQUID INTERFACE; NAVIER-STOKES EQUATION; UNIFORM GRIDS; VOF; VOLUME-OF-FLUID METHOD;

DROPS;

EID: 67349108945     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2009.03.014     Document Type: Article

References (28)

1. Aulisa E., Manservisi S., and Scardovelli R. A mixed markers and Volume-of-Fluid method for the reconstruction and advection of interfaces in two-phase and free-boundary flows. J. Comp. Phys. 188 (2003) 611-639
2. Chang Y.C., Hou T.Y., Merriman B., and Osher S. A Level-Set formulation of Eulerian interface capturing methods for incompressible fluid flows. J. Comp. Phys. 124 (1996) 449-464
3. Chi B.K., and Leal L.G. A theoretical study of the motion of a viscous drop toward a fluid interface at low Reynolds number. J. Fluid Mech. 201 (1989) 123-146
4. R. Delfos, U. Miessner, E. Coyajee, R. Lindken, J. Westerweel, An oil droplet colliding with an oil-water interface: an experimental flow facility for the validation of numerical simulation data, in: Euromech Colloquium 479: Numerical Simulation of Multiphase Flow with Deformable Interfaces, Scheveningen, The Netherlands, 14-16 August 2006. .
5. Enright D., Fedkiw R., Ferziger J., and Mitchell I. A hybrid particle Level-Set method for improved interface capturing. J. Comp. Phys. 183 (2002) 83-116
6. Esmaeeli A., and Tryggvason G. Direct numerical simulations of bubbly flows. Part 2. Moderate Reynolds number arrays. J. Fluid Mech. 385 (1999) 325-358
7. Francois M.M., Cummins S.J., Dendy D.D., Kothe D.B., Sicilian J.M., and Williams M.W. A balanced-force algorithm for continuous and sharp interfacial surface tension models within a volume tracking framework. J. Comp. Phys. 213 (2006) 141-173
8. Harlow F.H., and Welch J.E. Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface. Phys. Fluids 8 (1965) 2182-2189
9. J. Helmsen, P. Colella, E.G. Puckett. Non-Convex Profile Evolution in Two-Dimensions Using Volume-of-Fluids, Technical Report LBNL-40693, Lawrence Berkeley National Laboratory, 1997.
10. Kang M., Fedkiw R.P., and Liu X.-D. A boundary condition capturing method for multiphase incompressible flow. J. Sci. Comput. 15 (2000) 323-360
11. Kleefsman K.M.T., Fekken G., Veldman A.E.P., Iwanowski B., and Bunchner B. A Volume-of-Fluid based simulation method for wave impact problems. J. Comp. Phys. 206 (2005) 363-393
12. Liu X.-D., Fedkiw R., and Kang M. A boundary condition capturing method for Poisson's equation on irregular domains. J. Comp. Phys. 160 (2000) 151-178
13. Lopez J., Hernandez J., Gomez P., and Faura F. An improved PLIC-VOF method for tracking thin fluid structures in incompressible two-phase flows. J. Comp. Phys. 208 (2005) 51-74
14. Lorstadt D., Francois M., Shyy W., and Fuchs L. Assessment of Volume-of-Fluid and immersed boundary methods for droplet computations. Int. J. Numer. Meth. Fluids 46 (2004) 109-125
15. Manga M., and Stone H.A. Low Reynolds number motion of bubbles, drops and rigid spheres through fluid-fluid interfaces. J. Fluid Mech. 287 (1995) 279-298
16. Mohamed-Kassim Z., and Longmire E.K. Drop impact on a liquid-liquid interface. Phys. Fluids 15 (2003) 3263-3273
17. Rider W.J., and Kothe D.B. Reconstructing volume tracking. J. Comp. Phys. 141 (1998) 112-152
18. Rudman M. A volume-tracking method for incompressible multifluid flows with large density variations. Int. J. Numer. Meth. Fluids 28 (1998) 357-378
19. Scardovelli R., and Zaleski S. Direct numerical simulation of free-surface and interfacial flow. Annu. Rev. Fluid Mech. 31 (1999) 567-603
20. Shopov P.J., and Minev P.D. The unsteady motion of a bubble or drop towards a liquid-liquid interface. J. Fluid Mech. 235 (1992) 123-141
21. Sussman M. A second-order coupled Level-Set and Volume-of-Fluid method for computing growth and collapse of vapor bubbles. J. Comp. Phys. 187 (2003) 110-136
22. Sussman M., and Puckett E.G. A coupled Level-Set and Volume-of-Fluid method for computing 3D and axisymmetric incompressible two-phase flows. J. Comp. Phys. 162 (2000) 301-337
23. Sussman M., Smereka P., and Osher S. A Level-Set approach for computing solutions to incompressible two-phase flow. J. Comp. Phys. 114 (1994) 146-159
24. Unverdi S.H., and Tryggvason G. A front-tracking method for viscous, incompressible multi-fluid flows. J. Comp. Phys 100 (1992) 25-37
25. Van der Pijl S.P., Segal A., Vuik C., and Wesseling P. A mass-conserving Level-Set method for modelling of multi-phase flows. Int. J. Numer. Meth. Fluids 47 (2005) 339-361
26. Van Kan J.J.I.M. A second-order accurate pressure correction method for viscous incompressible flow. SIAM J. Sci. Stat. Comp. 7 (1986) 870-891
27. Zalesak S.T. Fully multidimensional flux-corrected transport algorithm for fluids. J. Comp. Phys. 24 (1979) 671-691
28. Zheng X., Lowengrub J., Anderson A., and Cristini V. Adaptive unstructured volume remeshing - II: application to two- and three-dimensional Level-Set simulations of multiphase flow. J. Comp. Phys. 208 (2005) 626-650