EFFICIENT IMPLEMENTATION OF A COUPLED LEVEL-SET AND VOLUME-OF-FLUID METHOD FOR THREE-DIMENSIONAL INCOMPRESSIBLE TWO-PHASE FLOWS

References

• Son , G. and Hur , N. 2002 . A Coupled Level Set and Volume-of-Fluid Method for the Buoyancy-Driven Motion of Fluid Particels . Numer. Heat Transfer B , 42 : 523 – 542 .
   Web of Science ®Google Scholar
• Puckett , E. G. , Almgren , A. S. , Bell , J. B. , Marcus , D. L. and Rider , W. J. 1997 . A High-Order Interface Tracking Method for Tracking Fluid Interface in Variable Density Incompressible Flows . J. Comput. Phys. , 130 : 269 – 282 .
   Web of Science ®Google Scholar
• Sussman , M. personal communication, 2001
   Google Scholar
• Yabe , T. , Ishikawa , T. , Wang , P. Y. , Aoki , T. , Kadota , Y. and Ikeda , F. 1991 . A Universal Solver for Hyperbolic Equations by Cubic-Polynomial Interpolation II. Two- and Three-Dimensional Solvers . Comput. Phys. Commun. , 66 : 233 – 242 .
   Web of Science ®Google Scholar
• Gresho , P. M. 1990 . On the Theory of Semi-implicit Projection Methods for Viscous Incompressible Flow and Its Implementation via a Finite Element Method That Also Introduces a Nearly Consistent Mass Matrix. Part 1: Theory . Int. J. Numer. Meth. Fluids , 11 : 587 – 620 .
   Web of Science ®Google Scholar
• Son , G. 2001 . A Numerical Method for Incompressible Two-Phase Flows with Open or Periodic Boundaries . Numer. Heat Transfer B , 39 : 45 – 60 .
   Web of Science ®Google Scholar
• Ryskin , G. and Leal , L. G. 1984 . Numerical Solution of Free-Boundary Problems in Fluid Mechanics. Part 1 . J. Fluid Mech. , 148 : 1 – 17 .
   Web of Science ®Google Scholar
• Marmur , A. 1998 . Contact-Angle Hysteresis on Heterogeneous Smooth Surfaces: Theoretical Comparison of the Captive Bubble and Drop Methods . Colloids and Surfaces , 136 : 209 – 215 .
   Google Scholar
• Dimitrakopoulos , P. and Higdon , J. J. L. 1999 . On the Gravitational Displacement of Three-Dimensional Fluid Droplets from Inclined Solid Surfaces . J. Fluid Mech. , 395 : 181 – 209 .
   Web of Science ®Google Scholar
• Takewaki , H. and Yabe , T. 1987 . The Cubic-Interpolated Pseudo Particle (CIP) Method: Application to Nonlinear and Multi-dimensional Hyperbolic Equations . J. Comput. Phys. , 70 : 355 – 372 .
   Web of Science ®Google Scholar
• Rider , W. J. and Kothe , D. B. 1997 . Reconstructing Volume Tracking . J. Comput. Phys. , 141 : 112 – 152 .
   Web of Science ®Google Scholar
• Kothe , D. B. , Rider , W. J. , Mosso , S. J. , Brock , J. S. and Hochstein , J. I. 1996 . Volume Tracking of Interfaces Having Surface Tension in Two and Three Dimensions . AIAA Paper 96-0859 ,
   Google Scholar
• Youngs , D. L. 1984 . An Interface Tracking Method for a 3D Eulerian Hydrodynamics Code . AWRE Report 44/92/35 ,
   Google Scholar
• Rudman , M. 1997 . Volume-Tracking Methods for Interfacial Flow Calculations . Int. J. Numer. Meth. Fluids , 24 : 671 – 691 .
   Web of Science ®Google Scholar
• Gueyffier , D. , Li , J. , Nadim , A. , Scardovelli , R. and Zaleski , S. 1999 . Volume-of-Fluid Interface Tracking with Smoothed Surface Stress Methods for Three-Dimensional Flows . J. Comput. Phys. , 152 : 423 – 456 .
   Web of Science ®Google Scholar
• Bourlioux , A. 1995 . A Coupled Level-Set Volume-of-Fluid Algorithm for Tracking Material Interfaces, Proc. 6th Int. Symp. on Computational Fluid Dynamics , 15 – 22 . CA : Lake Tahoe .
   Google Scholar
• Sussman , M. , Smereka , P. and Osher , S. 1994 . A Level Set Approach for Computing Solutions to Incompressible Two-Phase Flow . J. Comput. Phys. , 114 : 146 – 159 .
   Web of Science ®Google Scholar
• Sussman , M. , Fatemi , E. , Smereka , P. and Osher , S. 1998 . An Improved Level Set Method for Incompressible Two-Phase Flows . Comput. Fluids , 27 : 663 – 680 .
   Web of Science ®Google Scholar
• Chang , Y. C. , Hou , T. Y. , Merriman , B. and Osher , S. 1996 . A Level Set Formulation of Eulerian Interface Capturing Methods for Incompressible Fluid Flows . J. Comput. Phys. , 124 : 449 – 464 .
   Web of Science ®Google Scholar
• Son , G. 2001 . A Numerical Method for Bubble Motion with Phase Change . Numer. Heat Transfer B , 39 : 509 – 523 .
   Web of Science ®Google Scholar
• Hirt , C. W. and Nichols , B. D. 1981 . Volume of Fluid (VOF) Method for the Dynamics of Free Boundaries . J. Comput. Phys. , 39 : 201 – 225 .
   Web of Science ®Google Scholar
• Youngs , D. L. 1982 . “ Time-Dependent Multi-material Flow with Large Fluid Distortion ” . In Numerical Methods for Fluid Dynamics , Edited by: Morton , K. W. and Baines , M. J. 273 – 285 . New York : Academic .
   Google Scholar
• Sussman , M. and Puckett , E. G. 2000 . A Coupled Level Set and Volume-of-Fluid Method for Computing 3D and Axisymmetric Incompressible Two-Phase Flows . J. Comput. Phys. , 162 : 301 – 337 .
   Web of Science ®Google Scholar