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Numerical Simulation of Interfacial Flow with Volume-Of-Fluid Method

Authors: Afshin Ahmadi Nadooshan


In this article, various models of surface tension force (CSF, CSS and PCIL) for interfacial flows have been applied to dynamic case and the results were compared. We studied the Kelvin- Helmholtz instabilities, which are produced by shear at the interface between two fluids with different physical properties. The velocity inlet is defined as a sinusoidal perturbation. When gravity and surface tension are taking into account, we observe the development of the Instability for a critic value of the difference of velocity of the both fluids. The VOF Model enables to simulate Kelvin-Helmholtz Instability as dynamic case.

Keywords: surface tension, incompressible flow, Volume-of-Fluid, Interfacial flow, Kelvin-Helmholtz

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[1] D. Gerlach, G. Tomar, G. Biswas and F. Durst ,"Comparison of volumeof- fluid methods for surface tension-dominant two-phase flows", International Journal of Heat and Mass Transfer, 49, 740-754, 2006
[2] Osher, S., and Sethian, J., "A fronts propagating with curvaturedependent speed: algorithms based on Hamilton-Jacobi formulations", J. Comp. Phys. 79(1), 12(1988)
[3] Noh, W.F. and Woodward, P.R., "Slic (simple line interface method)", in Lecture Notes in Physics, 59, 1976.
[4] Hirt, C.W. and Nichols, B.D., "Volume of fluid (VOF) method for the dynamics of free boundaries", J. Comp. Phys., 39, 201-225, 1981.
[5] Youngs, D.L. "Time-dependent multi-material flow with large fluid distribution", in Numerical methods for fluid dynamics, Morton and Norman,Editor,187-221,1996
[6] Ashgriz, N and Poo, J.Y., "FLAIR: Flux Line-segment model for advection and interface reconstruction". J. Comp. Phys. , 93,449-468, 1991.
[7] Rider, W.J. and Kothe D.B., "Reconstruction volume tracking", J. Comp. Phys., 14, 112, 1998.
[8] Pilliod J.E. and E.G. Puckett, "Second-order accurate volume-of-fluid algorithms for tracking material interfaces", Lawrence Berkley Lab. Tech. Report, No.LBNL-40744, 1997.
[9] Welch S.W.J., T. Rachidi, Numerical computation of .lm boiling including conjugated heat transfer, Numer. Heat Transfer, Part B 42 (2002) 35-53.
[10] Agarwal D.K., S.W.J. Welch, G. Biswas, F. Durst, Planar simulation of bubble growth in .lm boiling in near-critical water using a variant of the VOF method, J. Heat Transfer (ASME) 126 (2004) 329-338.
[11] Renardy Y., M. Renardy, "PROST: a parabolic reconstruction of surface tension for the volume-of-fluid method", J. Comp. Phys. 183 (2002) 400-421.
[12] Jamet D., D. Torres, J.U. Brackbill, On the theory and computation of surface tension: the elimination of parasitic currents through energy conservation in the second-gradient method, J. Comp. Phys. 182 (2002) 262-276.
[13] Brackbill J.U., D.B. Kothe, C. Zemach, A continuum method for modeling surface tension, J. Comp. Phys. 100 (1992) 335-354.
[14] Kothe, D.B., W.J. Rider, S.J. Mosso, and J.S. Brock, "Volume tracking of interfaces having surface tension in two and three dimensions" AIAA 96-0859, 1996.
[15] Lafaurie B., C. Nardone, R. Scardovelli, S. Zaleski, G. Zanetti, Modeling merging and fragmentation in multiphase .ows with SURFER, J. Comp. Phys. 113 (1994) 134-147.
[16] Shirani, E., Ashgriz, N. and Mostaghimi, J., "Interface pressure calculation based on conservative of momentum for front tracking methods", J. Comp. Phys., 203, 153-175, 2005.