Abstract
The rise behavior of small bubbles in a quiescent environment has been investigated by direct numerical simulation (DNS) using the Volume of Fluid (VOF) method and surface tension modeling based on the balanced force approach. The origin of spurious currents using standard (CSF, CSS) models is shown in detail, emphasis is put on the spatial discretization and the calculation of local curvatures. The effect of the new surface tension model on the resulting rise behavior for different bubble diameters is presented.
Access provided by Autonomous University of Puebla. Download to read the full chapter text
Chapter PDF
Similar content being viewed by others
Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
References
Brackbill, J.U., Kothe, D.B., Zemnach, C.: A continuum method for modeling surface tension. J. Comput. Phys. 100, 335–354 (1992)
Clift, R., Grace, J.R., Weber, M.E.: Bubbles, Drops, and Particles. Dover Publications Inc., Mineola, New York, USA (2005)
Cummins, S.J., Francois,M.M., Kothe, D.B.: Estimating curvature from volume fractions. Comput. Struct. 83, 425–434 (2005)
Francois, M.M., Cummins, S.J., Dendy, E.D., Kothe, D.B., Sicilian, J.M., Williams, M.W.: A balanced-force algorithm for continuous and sharp interfacial surface tension models within a volume tracking framework. J. Comput. Phys. 213, 141–173 (2006)
Ginzburg, I., Wittum, G.: Two-Phase Flows on Interface Refined Grids Modeled with VOF, Staggered Finite Volumes, and Spline Interpolants. J. Comput. Phys. 166, 302–335 (2001)
Harlow, F.H., Welch, J.E.: Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface. Phys. Fluids 8, 2182–2189 (1965)
Hirt, C.W., Nichols, B.D.: Volume of fluid (VOF) method for the dynamics of free boundaries. J. Comput. Phys. 39, 201–225 (1981)
Jafari, A., Shirani, E., Ashgriz, N.: An improved three-dimensional model for interface pressure calculations in free-surface flows. Int. J. Comput. Fluid Dyn. 21, 87–97 (2007)
Koebe, M.: Numerische Simulation aufsteigender Blasen mit und ohne Stoffaustausch mittels der Volume of Fluid (VOF) Methode. PhD thesis, Lehrstuhl für Technische Chemie und Chemische Verfahrenstechnik, Universität Paderborn, Germany, (2004)
Koebe, M., Bothe, D., Prüss, J., Warnecke, H.J.: 3D Direct Numerical Simulation of Air Bubbles in Water at high Reynolds numbers. Proceedings of ASME FEDSM’02 (2002)
Lafaurie, B., Nardone, C., Scardovelli, R., Zaleski, S., Zanetti, G.: Modelling Merging and Fragmentation in Multiphase Flows with SURFER. J. Comput. Phys. 113, 134–147 (1994)
Maxworthy, T., Gnann, C., Kürten, M., Durst, F.: Experiments on the rising of air bubbles in clean viscous liquids. J. Fluid Mech. 321, 421–411 (1996)
Meier, M., Yadigaroglu, G., Smith, B.L.: A novel technique for including surface tension in PLIC-VOF methods. Eur. J. Mech. B. Fluids 21, 61–73 (2002)
Moore, D.W.: The velocity of rise of distorted gas bubbles in a liquid of small viscosity. J. Fluid Mech. 23, 749–766 (1965)
Popinet, S.: An accurate adaptive solver for surface-tension-driven interfacial flows. J. Comput. Phys. 228, 5838–5866 (2009)
Renardy, Y., Renardy, M.: PROST: A Parabolic Reconstruction of Surface Tension for the Volume-of-Fluid Method. J. Comput. Phys. 183, 400–421 (2002)
Rider, W.J., Kothe, D.B.: Reconstructing Volume Tracking. J. Comput. Phys. 141, 112–152 (1998)
Schlüter, M.: Blasenbewegung in praxisrelevanten Zweiphasenströmungen. PhD thesis, Institut für Umweltverfahrenstechnik, Universität Bremen, Germany, (2002)
Weking, H., Huber, C., Weigand, B.: Direct Numerical Simulation of Single Gaseous Bubbles in Viscous Liquids. High Performance Computing in Science and Engineering ’09. Springer, Berlin Heidelberg New York (2009)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Weking, H., Schlottke, J., Boger, M., Rauschenberger, P., Weigand, B., Munz, CD. (2010). DNS of Rising Bubbles Using VOF and Balanced Force Surface Tension. In: Resch, M., et al. High Performance Computing on Vector Systems 2010. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11851-7_13
Download citation
DOI: https://doi.org/10.1007/978-3-642-11851-7_13
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-11850-0
Online ISBN: 978-3-642-11851-7
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)