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Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 34, 1998 - Issue 1
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Original Articles

A CURVILINEAR LEVEL SET FORMULATION FOR HIGHLY DEFORMABLE FREE SURFACE PROBLEMS WITH APPLICATION TO SOLIDIFICATION

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Pages 1-30 | Received 24 Jul 1997, Accepted 12 Jan 1998, Published online: 27 Mar 2007

REFERENCES

  • H. Zhang and M. K. Moallemi , A Multizone Adaptive Grid Generation Technique for Simulation of Moving and Free Boundary Problems , Numer. Heat Transfer B , vol. 27 , pp. 255 – 276 , 1995 .
  • H. Zhang , V. Prasad , and M. K. Moallemi , A Numerical Algorithm Using Multizone Grid Generation for Multiphase Transport Processes with Moving and free Boundaries , Numer. Heal Transfer B , vol. 29 , pp. 399 – 421 , 1996 .
  • A. Harten , B. Engquist , S. Osher , and S. Chakravarthy , Uniformly High–Order Accurate Essentially NonosciUatory Schemes, III , J. Comput. Phys. , vol. 71 , pp. 231 – 303 , 1987 .
  • H. Zhang , T. Y. Hou , and V. Prasad , A Numerical Scheme for Liquid–Liquid System Deformation of a Falling Liquid Droplet , ASME Proc. Fluids Engineering Division Summer Meeting , San Diego , CA , FED –Vol. 238 , pp. 403 – 408 , 1996 .
  • H. Zhang , V. Prasad , and S. Sampath , Thermal Splat Modeling Using Curvilinear Adaptive Level Set Method , 1997 National Thermal Spray Conference , Indianapolis , IN , 1997 .
  • J. M. Floryan and H. Rasmussen , Numerical Methods for Viscous Flows with Moving Boundaries , Appl. Mech. Rev. , vol. 42 , no. 12 , pp. 323 – 341 , 1989 .
  • W. Shyy , Computational Modeling for Fluid Flow and Interfacial Transport , Elsevier , New York , 1994 .
  • F. H. Harlow and A. A. Amsden , A Numerical Fluid Dynamics Calculation Method for All Flow Speeds , J. Comput. Phys. , vol. 8 , pp. 197 – 213 , 1971 .
  • D. B. Kothe , R. C. Mjolsness , and M. D. Torrey , RIPPLE A Computer Program for Incompressible Flows with Free Surfaces , Los Alamos Natl, Lab. Tech. Rept. LA-12007–MS , Los Alamos , NM , 1991 .
  • S. Chen , D. B. Johnson , and P. E. Raad , Velocity Boundary Conditions for the Simulation of Free Surface Fluid Flow , J. Comput. Phys. , vol. 116 , pp. 262 – 276 , 1995 .
  • W. J. Rider and D. B. Kothe , Stretching and Tearing Interface Tracking Methods , AIAA 95–1717 , 12th AIAA CFD Conf. , San Diego , CA , 19 – 22 June 1995 .
  • C. W. Hirt and B. D. Nichols , Volume of Fluid (VOF) Methods for the Dynamics of Free Boundaries , J. Comput. Phys. , vol. 39 , pp. 201 – 225 , 1981 .
  • J. U. Brackbill , D. B. Kothe , and C. Zemach , A Continuum Method for Modeling Surface–Tension , J. Comput. Phys. , vol. 100 , pp. 335 – 354 , 1992 .
  • T. Y. Hou , Numerical Solutions to Free Boundary Problems , Acta Numer ., pp. 335 – 415 , 1995 .
  • H. Zhang , M. K. Moallemi , and S. Kumar , Analytical and Numerical Modeling of the Dip–Coating Process , J. Heat Transfer , vol. 115 , no. 2 , pp. 453 – 460 , 1993 .
  • A. V. Reddy , D. B. Kothe , C. Beckermann , R. C. Ferrell , and K. L. Lam , High Resolution Finite Volume Parallel Simulations of Mould Filling and Binary Alloy Solidification on Unstructured 3-D Meshes , Los Alamos Natl. Lab. Tech . Rept. LA–UR–97–136 , Los Alamos , NM , 1997 .
  • S. Osher and J. A. Sethian , Fronts Propagating with Curvature-Dependent Speed Algorithms Based on Hamilton-Jacobi Formulations , J. Comput. Phys. , vol. 79 , pp. 12 – 49 , 1988 .
  • M. Sussman , P. Smereka , and S. Osher , A Level Set Approach tor Computing Solutions to Incompressible Two–Phase Flow , J. Comput. Phys. , vol. 114 , pp. 146 – 159 , 1994 .
  • Y. C. Chang , T. Y. Hou , B. Merriman , and S. Osher , A Level Set Formulation of Eulerian Interface Capturing Methods for Incompressible Fluid Flows , J. Comput. Phys. , vol. 124 , pp. 449 – 464 , 1996 .
  • J. A. Sethian , Level Set Methods , Cambridge University Press , Cambridge , UK , 1996 .
  • J. Fukai , Y. Shiiba , T. Yamamoto , O. Miyatake , D. Poulikakos , C. M. Megaridis , and Z. Zhao , Wetting Effects on the Spreading of a Liquid Droplet Colliding with a Flat Surface Experiment and Modeling , Phys. Fluids , vol. 7 , pp. 236 – 247 , 1995 .
  • J. H. Kim , An Analytic Mixing Model for Buoyant Jet Injected into Pipe Flow , J. Heat Transfer , vol. 107 , pp. 630 – 635 , 1985 .
  • L. L. Zheng and H. Zhang , Three-Dimensional Simulation of Side Jet Thermal and Flows Mixing in Nuclear Cooling Systems , Proc. 5th Int. Conf. Nuclear Engineering , Nice , France , 1997 , ICONE 97–2014 , pp. 1 – 9 , ASME , New York , 1997 .
  • H. Liu , E. J. Lavernia , and R. H. Rangel , Modeling of Molten Droplet Impingement on a Non–Flat Surface , Acta Metall. Mater. , vol. 43 , pp. 2053 – 2072 , 1995 .
  • D. Poulikakos and J. M. Waldvogel , Heat Transfer and Fluid Dynamics in the Process of Spray Deposition , in Advances in Heat Transfer , vol. 28 , pp. 1 – 74 , Academic Press , New York , 1996 .
  • Address correspondence to Dr. Hui Zhang, State University of New York at Stony Brook, Department of Mechanical Engineering, Stony Brook, NY 11794-2300. E-mail: [email protected]

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