Generalization of SGIP Surface Tension Force Model in Three-Dimensional Flows and Compare to Other Models in Interfacial Flows
Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 32804
Generalization of SGIP Surface Tension Force Model in Three-Dimensional Flows and Compare to Other Models in Interfacial Flows

Authors: Afshin Ahmadi Nadooshan, Ebrahim Shirani

Abstract:

In this paper, the two-dimensional stagger grid interface pressure (SGIP) model has been generalized and presented into three-dimensional form. For this purpose, various models of surface tension force for interfacial flows have been investigated and compared with each other. The VOF method has been used for tracking the interface. To show the ability of the SGIP model for three-dimensional flows in comparison with other models, pressure contours, maximum spurious velocities, norm spurious flow velocities and pressure jump error for motionless drop of liquid and bubble of gas are calculated using different models. It has been pointed out that SGIP model in comparison with the CSF, CSS and PCIL models produces the least maximum and norm spurious velocities. Additionally, the new model produces more accurate results in calculating the pressure jumps across the interface for motionless drop of liquid and bubble of gas which is generated in surface tension force.

Keywords: Volume-of-Fluid; SGIP model; CSS model; CSF model; PCIL model; surface tension force; spurious currents.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1331461

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1365

References:


[1] Noh, W.F. and Woodward, P.R., "Slic(simple line interface method) ", in Lecture Notes in Physics, 59, 1976.
[2] Hirt, C.W. and Nichols, B.D., "Volume of fluid (Vof) method for the dynamics of free boundaries", J. comput. phys., 39, 201-225, 1981.
[3] 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
[4] Ashgriz, N and Poo, J.Y., "FLAIR: Flux Line-segment model for advection and interface reconstruction". J. Comput. Phys., 93,449-468, 1991.
[5] Rider, W.J. and Kothe D.B., "Reconstruction volume tracking", J. comput. phys., 14, 112, 1998.
[6] 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.
[7] Rudman M.,"A volume-tracking method for incompressible multi fluid flows with large density variations", Int. J. num. methods, 28(2), pp 357- 378, 1998
[8] Landau, L. D. and Lifshitz, E. M., "Fluid Mechanics", Pergoman Press, New York, 1959
[9] Brackbill, J.U, Kote, D.B. and Zemach, C.,"A continuum Method for modeling surface tension", J. comput. phys., 100:335-354, 1992.
[10] 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.
[11] Lafaurie, B., Nardone, C., Scardovelli, R., Zaleski, S. and Zanetti, G., "Modeling merging and fragmentation in multiphase flows with SURFER", J. comput. phys., 113:134-147, 1994.
[12] Meier, M., Yadigaroglu, H. and Smith, B.L., "A novel technique for including surface tension in PLIC-VOF methods", Eur. J. B/fluids, 21, 61-73, 2002.
[13] 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.
[14] Seifollahi, M., Shirani, E. and Ashgriz, N., "An Improved Method for Calculation of Interface Pressure Force in PLIC-VOF Methods", Accepted for publication in European Journal of Mechanics- B/Fluids 2007.