Publication Cover
Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 71, 2017 - Issue 1
558
Views
11
CrossRef citations to date
0
Altmetric
Original Articles

CLSVOF as a fast and mass-conserving extension of the level-set method for the simulation of two-phase flow problems

&
Pages 1-36 | Received 23 Jul 2015, Accepted 07 Sep 2016, Published online: 28 Nov 2016

References

  • S. Osher and J. A. Sethian, Fronts Propagating with Curvature-Dependent Speed: Algorithms Based on Hamilton-Jacobi Formulations, J. Comput. Phys., vol. 79, no. 1, pp. 12–49, 1988.
  • J. Brackbill, D. Kothe, and C. Zemach, A Continuum Method for Modeling Surface Tension, J. Comput. Phys., vol. 100, pp. 335–354, 1992.
  • R. Croce, M. Griebel, and M. Schweitzer, Numerical Simulation of Bubble and Droplet Deformation by a Level Set Approach with Surface Tension in Three Dimensions, Int. J. Numer. Methods Fluids, vol. 62, no. 9, pp. 963–993, 2010.
  • S. Groß, Numerical Methods for Three-Dimensional Incompressible Two-Phase Flow Problems, Dissertation, IGPM, RWTH Aachen, 2008.
  • M. Klitz, Numerical Simulation of Droplets with Dynamic Contact Angles, Dissertation, Institut für Numerische Simulation, Universität Bonn, 2014.
  • R. Croce, M. Griebel, and M. Schweitzer, A Parallel Level-Set Approach for Two-Phase Flow Problems with Surface Tension in Three Space Dimensions. Preprint 157, Sonderforschungsbereich 611, Universität Bonn, 2004.
  • D. Peng, B. Merriman, S. Osher, H. Zhao, and M. Kang, A PDE-Based Fast Local Level Set Method, J. Comput. Phys., vol. 155, pp. 410–438, 1999.
  • G. Russo and P. Smereka, A Remark on Computing Distance Functions, J. Comput. Phys., vol. 163, no. 1, pp. 51–67, 2000.
  • M. Sussman and E. Puckett, A Coupled Level Set and Volume-of-Fluid Method for Computing 3D and Axisymmetric Incompressible Two-Phase Flows, J. Comput. Phys., vol. 162, no. 2, pp. 301–337, 2000.
  • M. Sussman and E. Fatemi, An Efficient, Interface Preserving Level Set Re-distancing Algorithm and Its Application to Interfacial Incompressible Fluid Flow, SIAM J. Sci. Comput., vol. 20, no. 4, pp. 1165–1191, 1999.
  • M. Herrmann, Refined Level Set Grid Method for Tracking Interfaces. Annual Research Briefs, Center for Turbulence Research, NASA Ames/Stanford University, pp. 3–18, 2005.
  • R. Keck, Reinitialization For Level-set Methods, Diplomarbeit, Fachbereich Mathematik der Universität Kaiserslautern, 1998.
  • D. Enright, R. Fedkiw, J. Ferziger, and I. Mitchell, A Hybrid Particle Level Set Method for Improved Interface Capturing, J. Comput. Phys., vol. 183, no. 1, pp. 83–116, 2002.
  • J. Lee and G. Son, A Level-set Method for Analysis of Particle Motion in an Evaporating Microdroplet, Numer. Heat Trans. Part B Fundam., vol. 67, no. 1, pp. 25–46, 2015.
  • H. Hwang and G. Son, A Level-Set Method for the Direct Numerical Simulation of Particle Motion in Droplet Evaporation, Numer. Heat Trans. Part B Fundam., vol. 68, no. 6, pp. 479–494, 2015.
  • Z. Wang, J. Yang, and F. Stern, Comparison of Particle Level Set and CLSVOF Methods for Interfacial Flows, 46th AIAA Aerospace Sciences Meeting and Exhibit, pp. 7–10, 2008.
  • T. Ménard, S. Tanguy, and A. Berlemont, Coupling Level Set/VOF/Ghost Fluid Methods: Validation and Application to 3D Simulation of the Primary Break-Up of a Liquid Jet, Int. J. Multiphase Flow, vol. 33, no. 5, pp. 510–524, 2007.
  • M. Jemison, E. Loch, M. Sussman, M. Shashkov, M. Arienti, M. Ohta, and Y. Wang, A Coupled Level Set-moment of Fluid Method for Incompressible Two-Phase Flows, J. Sci. Comput., vol. 54, no. 2–3, pp. 454–491, 2013.
  • T. Ménard, Développement d’une méthode Level Set pour le suivi d’interface – application à la rupture de jet liquide, PhD thesis, Université de Rouen, 2007.
  • G. Son and N. Hur, A Coupled Level Set and Volume-of-Fluid Method for the Buoyancy-Driven Motion of Fluid Particles, Numer. Heat Trans. Part B Fundam., vol. 42, no. 6, pp. 523–542, 2002.
  • G. Son, Efficient Implementation of a Coupled Level-Let and Volume-of-Fluid Method for Three-Dimensional Incompressible Two-Phase Flows, Numer. Heat Trans. Part B Fundam., vol. 43, no. 6, pp. 549–565, 2003.
  • M. Sussman, A Second Order Coupled Level Set and Volume-of-Fluid Method for Computing Growth and Collapse of Vapor Bubbles, J. Comput. Phys., vol. 187, no. 1, pp. 110–136, 2003.
  • M. Sussman, K. Smith, M. Hussaini, M. Ohta, and R. Zhi-Wei, A Sharp Interface Method for Incompressible Two-Phase Flows, J. Comput. Phys., vol. 221, no. 2, pp. 469–505, 2007.
  • Z. Wang, J. Yang, B. Koo, and F. Stern, A Coupled Level Set and Volume-of-Fluid Method for Sharp Interface Simulation of Plunging Breaking Waves, Int. J. Multiphase Flow, vol. 35, no. 3, pp. 227–246, 2009.
  • Z. Wang, Private communication, 2015.
  • M. Griebel, T. Dornseifer, and T. Neunhoeffer, Numerical Simulation in Fluid Dynamics: A Practical Introduction, vol. 3, SIAM, Philadelphia, 1998.
  • NaSt3DGPF, A Parallel 3d Free Surface Flow Solver http://wissrech.iam.uni-bonn.de/research/projects/NaSt3DGPF/ (accessed 2 November 2016).
  • A. Chorin, Numerical Solutions of the Navier–Stokes Equations, Math. Comput., vol. 22, pp. 745–762, 1968.
  • C. Hirt and B. Nichols, Volume of Fluid VOF Method for the Dynamics of Free Boundaries, J. Comput. Phys., vol. 39, no. 1, pp. 201–225, 1981.
  • W. Press, S. Teukolsky, W. Vetterling, and B. Flannery, Numerical Recipes 3rd Edition: The Art of Scientific Computing. Cambridge: Cambridge University Press, 2007.
  • F. Losasso, R. Fedkiw, and S. Osher, Spatially Adaptive Techniques for Level Set Methods and Incompressible Flow, Comput. Fluids, vol. 35, no. 10, pp. 995–1010, 2006.
  • R. Croce, Ein paralleler, Dreidimensionaler Navier–Stokes–Löser für inkompressible Zweiphasenströmungen mit Oberflächenspannung, Hindernissen und dynamischen Kontaktflächen, Diplomarbeit, Institut für Angewandte Mathematik, Universität Bonn, 2002.
  • M. Klitz, Homogenised Fluid Flow Equations in Porous Media with Application to Permeability Computations in Textiles, Diplomarbeit, Institut für Numerische Simulation, Universität Bonn, 2006.
  • V. Aggarwal, V. H. Gada, and A. Sharma, Parallelization Methodology and Performance Study for Level-Set-Method-Based Simulation of a 3-d Transient Two-Phase Flow, Numer. Heat Trans. Part B Fundam., vol. 63, no. 4, pp. 327–356, 2013.
  • W. Rider and D. Kothe, Stretching and Tearing Interface Tracking Methods, AIAA paper, vol. 95, pp. 806–816, 1995.
  • INSGrid, High-Performance Cluster Computers at the INS and SFB 1060, 2013. http://wissrech.ins.uni-bonn.de/research/atacama/ (accessed 2 November 2016).
  • ParaView, ParaView User’s Guide (v3.10), 2011. http://www.paraview.org/ (accessed 2 November 2016).
  • H. Childs, E. Brugger, B. Whitlock, J. Meredith, S. Ahern, D. Pugmire, K. Biagas, M. Miller, C. Harrison, G. Weber, H. Krishnan, T. Fogal, A. Sanderson, C. Garth, E. Bethel, D. Camp, O. Rübel, M. Durant, J. Favre, and P. Navrátil, VisIt: An end-user tool for visualizing and analyzing very large data, in High Performance Visualization–Enabling Extreme-Scale Scientific Insight, pp. 357–372, 2012.
  • W. Lorensen and H. Cline, Marching Cubes: A High Resolution 3d Surface Construction Algorithm, in ACM Siggraph Computer Graphics, vol. 21, pp. 163–169, ACM, 1987.
  • Tecplot, Tecplot 360 users manual, 2013. http://www.tecplot.com/ (accessed 2 November 2016).
  • R. LeVeque, High-Resolution Conservative Algorithms for Advection in Incompressible Flow, SIAM J. Numer. Anal., vol. 33, no. 2, pp. 627–665, 1996.
  • R. Croce, Numerische simulation der interaktion von inkompressiblen zweiphasenströmungen mit starrkörpern in drei raumdimensionen, Dissertation, Institut für Numerische Simulation, Universität Bonn, 2010.
  • P. Liovic, M. Rudman, J.-L. Liow, D. Lakehal, and D. Kothe, A 3D Unsplit-Advection Volume Tracking Algorithm with Planarity-Preserving Interface Reconstruction, Comput. Fluids, vol. 35, no. 10, pp. 1011–1032, 2006.
  • Y. Renardy and M. Renardy, PROST: A Parabolic Reconstruction of Surface Tension for the Volume-of-Fluid Method, J. Comput. Phys., vol. 183, no. 2, pp. 400–421, 2002.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.