A Redistribution-Based Volume-Preserving PLIC-VOF Technique

REFERENCES

• V. H. Gada and A. Sharma , On a Novel Dual-Grid Level-Set Method for Two-Phase Flow Simulation , Numer. Heat Transfer B , vol. 59 , pp. 26 – 57 , 2011 .
   Web of Science ®Google Scholar
• J. Banerjee and K. Muralidhar , Simulation of Transport Processes during Czochralski Growth of YAG Crystals , J. Cryst. Growth , vol. 286 , pp. 350 – 364 , 2006 .
   Web of Science ®Google Scholar
• J. Banerjee and K. Muralidhar , Czochralski Growth of Oxide Crystals: Numerical Simulation and Experiments, Monograph under Contemporary Research in Emerging Science and Technology (CREST), TechScience Press, USA, pp. 31–36, 2007.
   Google Scholar
• P. Lubin , S. Vincent , S. Abadie , and J.-P. Caltagirone , Three-Dimensional Large Eddy Simulation of Air Entrainment under Plunging Breaking Waves , Coast. Eng. , vol. 53 , pp. 631 – 655 , 2006 .
   Web of Science ®Google Scholar
• Z. Xie , Two Phase Modelling of Spilling and Plunging Breaking Waves , Appl. Math. Model. , vol. 37 , pp. 3698 – 3713 , 2013 .
   Web of Science ®Google Scholar
• W. F. Noh and P. Woodward , SLIC (Simple Line Interface Calculation) , in A. I. van Dooren and P. J. Zandbergen (eds.), Lecture Notes in Physics , Springer Verlag , New York , pp. 330 – 340 , 1976 .
   Google Scholar
• B. D. Nichols and C. W. Hirt , Volume of Fluid (VOF) Method for the Dynamics of Free Boundaries , J. Comput. Phys. , vol. 39 , pp. 201 – 225 , 1981 .
   Web of Science ®Google Scholar
• D. L. Youngs , Time-Dependent Multi-material Flow with Large Fluid Distortion , in K. W. Morton and M. J. Baines (eds.), Numerical Methods for Fluid Dynamics , Academic Press , New York , pp. 273 – 285 , 1982 .
   Google Scholar
• R. S. Maurya , T. Sundararajan , and S. K. Das , Development of a PLIC-VOF Method for the Dynamic Simulation of Entry Region Flow in a Laminar Falling Film , Int. J. Comput. Fluid D. , vol. 23 , pp. 391 – 400 , 2009 .
   Web of Science ®Google Scholar
• M. Huang , L. Wu , and B. Chen , A Piecewise Linear Interface-Capturing Volume-of-Fluid Method Based on Unstructured Grids , Numer. Heat Transfer B , vol. 61 , pp. 412 – 437 , 2012 .
   Web of Science ®Google Scholar
• W. J. Rider and D. B. Kothe , Reconstructing Volume Tracking , J. Comput. Phys. vol. 141 , pp. 112 – 152 , 1998 .
   Web of Science ®Google Scholar
• J. E. Pilliod , Jr. , and E. G. Puckett , Second Order Accurate Volume-of-Fluid Algorithms for Tracking Material Interfaces , J. Comput. Phys. , vol. 199 , pp. 465 – 502 , 2004 .
   Web of Science ®Google Scholar
• M. Rudman , Volume-Tracking Methods for Interfacial Flow Calculations , Int. J. Numer. Meth. Fluids , vol. 24 , pp. 671 – 691 , 1997 .
   Web of Science ®Google Scholar
• D. J. E. Harvie and D. F. Fletcher , A New Volume of Fluid Advection Algorithm: The Stream Scheme , J. Comput. Phys. , vol. 162 , pp. 1 – 32 , 2000 .
   Web of Science ®Google Scholar
• D. J. E. Harvie and D. F. Fletcher , A New Volume of Fluid Advection Algorithm: The Defined Donating Region Scheme , Int. J. Numer. Meth. Fluids , vol. 35 , pp. 151 – 172 , 2001 .
   Web of Science ®Google Scholar
• V. Dyadechko and M. Shashkov , Moment-of-Fluid Interface Reconstruction, Los Alamos National Laboratory Rept. LA-UR-05–7571, Los Alamos, NM, 2005 .
   Google Scholar
• S. V. Diwakar , S. K. Das , and T. Sundararajan , A Quadratic Spline Based Interface (QUASI) Reconstruction Algorithm for Accurate Tracking of Two-Phase Flows , J. Comput. Phys. , vol. 228 , pp. 9107 – 9130 , 2009 .
   Web of Science ®Google Scholar
• G. D. Weymouth and D. K.-P. Yue , Conservative Volume of Fluid Method for Free Surface Simulations on Cartesian-Grids , J. Comput. Phys. , vol. 229 , pp. 2853 – 2865 , 2010 .
   Web of Science ®Google Scholar
• R. Scardovelli and S. Zaleski , Interface Reconstruction with Least-Square Fit and Split Eulerian Lagrangian Advection , Int. J. Numer. Meth. Fluids , vol. 41 , pp. 251 – 274 , 2003 .
   Web of Science ®Google Scholar
• H. T. Ahn and M. Shashkov , Adaptive Moment-of-Fluid Method , J. Comput. Phys. , vol. 228 , pp. 2792 – 2821 , 2009 .
   Web of Science ®Google Scholar
• E. Aulisa , S. Manservisi , R. Scardovelli , and S. Zaleski , A Geometrical Area-Preserving Volume-of-Fluid Advection Method , J. Comput. Phys. , vol. 192 , pp. 355 – 364 , 2003 .
   Web of Science ®Google Scholar
• M. Raessi and H. Pitsch , Consistent Mass and Momentum Transport for Simulating Incompressible Interfacial Flows with Large Density Ratios using the Level Set Method , Comput. Fluids , vol. 63 , pp. 70 – 81 , 2012 .
   Web of Science ®Google Scholar
• J. C. Martin and W. J. Moyce , An Experimental Study of the Collapse of Liquid Columns on a Rigid Horizontal Plane , Phil. Trans. R. Soc. B , vol. 244 , pp. 312 – 324 , 1952 .
   Web of Science ®Google Scholar
• Y.-Y. Tsui and S.-W. Lin , A VOF-Based Conservative Interpolation Scheme for Interface Tracking (CISIT) of Two-Fluid Flows , Numer. Heat Transfer B , vol. 63 , pp. 263 – 283 , 2013 .
   Web of Science ®Google Scholar