RECONSTRUCTION AND ADVECTION OF A MOVING INTERFACE IN THREE DIMENSIONS ON A FIXED GRID

REFERENCES

• J. M. Floryan and H. Rasmussen , Numerical Methods for Viscous Flows with Moving Boundaries , Appl. Mech. Rev. , vol. 42 , p. 323 , 1989 .
   Google Scholar
• L. Chen , S. V. Garimella , J. A. Reizes , and E. Leonardi , Motion of Interacting Gas Bubbles in a Viscous Liquid Including Wall Effects and Evaporation , Numer, Heat Transfer , Part A , vol. 31 , p. 629 , 1997.
   Google Scholar
• J. Glimm , D. Marchesin , and O. McBryan , A Numerical Method for Two Phase Flow with an Unstable Interface , J. Comput. Phys. , vol. 39 , p. 179 , 1981 .
   Web of Science ®Google Scholar
• S. O. Unverdi and G. Tryggvason , A Front–Tracking Method for Viscous, Incompressible, Multi–fluid Flows , J. Comput. Phys. , vol. 100 , p. 25 , 1992 .
   Web of Science ®Google Scholar
• H. S. Udaykumar , W. Shyy , and M. M. Rao , ELAFINT A Mixed Eulerian–Lagrangian Method for Fluid Flow with Complex and Moving Boundaries , AIAA Paper 94–1996 , 1994 .
   Google Scholar
• G. Ryskin and L. G. Leal , Numerical Solution of Free–Boundary Problems in Fluid Mechanics. Parts 1, 2, 3 , J. Fluid Mech. , vol. 148 , pp. 1 , 19 , 37 , 1984 .
   Web of Science ®Google Scholar
• H. A. Stone and L. G. Leal , Relaxation and Breakup of an Initially Extended Drop in an Otherwise Quiescent Fluid , J. Fluid Mech. , vol. 198 , p. 399 , 1989 .
   Web of Science ®Google Scholar
• C. W. Hirt and B. D. Nichols , Volume of Fluid (VOF) Method for the Dynamics of Free Boundaries , J. Comput. Phys. , vol. 39 , p. 201 , 1981 .
   Web of Science ®Google Scholar
• J. A. Sethian , Level Set Methods , Cambridge University Press , New York , 1996 .
   Google Scholar
• B. T. Murray , A. A. Wheeler , and M. E. Glicksman , Simulations of Experimentally Observed Dendritic Growth Behavior Using a Phase–Field Model , J. Crystal Growth , vol. 154 , p. 386 , 1995 .
   Web of Science ®Google Scholar
• C. R. Swaminathan and V. R. Voller , On the Enthalpy Method , Int. J. Numer. Meth. Heat Fluid Flow , vol. 3 , p. 233 , 1993 .
   Web of Science ®Google Scholar
• J. E. Simpson and S. V. Garimella , An Investigation of the Solutal, Thermal and Flow Fields in Unidirectional Alloy Solidification , Int. J. Heat Mass Transfer , vol. 41 , p. 2485 , 1998 .
   Google Scholar
• W. Shyy , H. S. Udaykumar , M. M. Rao , and R. W. Smith , Computational Fluid Dynamics with Moving Boundaries , Taylor & Francis , Washington , D.C. , 1996 .
   Google Scholar
• B. Lafaurie , C. Nardone , R. Scardovelli , S. Zaleski , and G. Zanetti , Modelling Merging and Fragmentation in Multiphase Flows with SURFER , J. Comput. Phys. , vol. 113 , p. 134 , 1994 .
   Web of Science ®Google Scholar
• M. R. H. Nobari and G. Tryggvason , Numerical Simulations of Three-Dimensional Drop Collisions , AIAA J. , vol. 34 , p. 750 , 1996 .
   Google Scholar
• G. J. Yeoh , G. de Vahl Davis , E. Leonardi , H. C. de Groh , and M. Yao , A Numerical and Experimental Study of Natural Convection and Interface Shape in Crystal Growth , First Int. Conf. Transport Phenomena in Processing , Honolulu , Hawaii , March 1992 .
   Google Scholar
• V. Jayaraman , H. S. Udaykumar , and W. S. Shyy , Adaptive Unstructured Grid for Three-Dimensional Interface Representation , Numer. Heat Transfer , Part B , vol. 32 , p. 247 , 1997 .
   Web of Science ®Google Scholar
• W. H. Press , B. P. Flannery , S. A. Teukolsky , and W. T. Vetterling , Numerical Recipes–The Art of Scientific Computing , Cambridge University Press , New York , 1986 .
   Google Scholar