메뉴 건너뛰기




Volumn 29, Issue 4, 1996, Pages 399-421

Numerical algorithm using multizone adaptive grid generation for multiphase transport processes with moving and free boundaries

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; CRYSTAL GROWTH FROM MELT; ENCLOSURES; FINITE VOLUME METHOD; FORECASTING; HEAT TRANSFER; NATURAL CONVECTION; PHASE TRANSITIONS; SEMICONDUCTING SILICON; SHRINKAGE; SOLIDIFICATION;

EID: 0030166265     PISSN: 10407790     EISSN: 15210626     Source Type: Journal    
DOI: 10.1080/10407799608914989     Document Type: Article
Times cited : (85)

References (35)
  • 1
    • 0029292885 scopus 로고
    • A Multizone Adaptive Grid Generation Technique for Simulation of Moving and Free Boundary Problems
    • H. Zhang and M. K. Moallemi, A Multizone Adaptive Grid Generation Technique for Simulation of Moving and Free Boundary Problems, Numer, Heat Transfer, Part B, vol. 27, pp. 255-276, 1995.
    • (1995) Numer, Heat Transfer, Part B , vol.27 , pp. 255-276
    • Zhang, H.1    Moallemi, M.K.2
  • 2
    • 0024106803 scopus 로고
    • Heat Transfer during Melting and Solidification of Metal
    • R. Viskanta, Heat Transfer during Melting and Solidification of Metal, J. Heat Transfer, vol. 110, pp. 1205-1219, 1988.
    • (1988) J. Heat Transfer , vol.110 , pp. 1205-1219
    • Viskanta, R.1
  • 4
    • 0027697872 scopus 로고
    • Numerical Simulation of Convection/Diffusion Phase Change Problems—A Review
    • A. A. Samarskii, P. N. Vabishchevich, and O. P. Iliew, Numerical Simulation of Convection/Diffusion Phase Change Problems—A Review, Int. J. Heat Mass Transfer, vol. 36, pp. 4095-4106, 1993.
    • (1993) Int. J. Heat Mass Transfer , vol.36 , pp. 4095-4106
    • Samarskii, A.A.1    Vabishchevich, P.N.2    Iliew, O.P.3
  • 5
    • 0023862656 scopus 로고
    • Natural Convection Solid/Liquid Phase Change in Porous Media
    • C. Beckermann and R. Viskanta, Natural Convection Solid/Liquid Phase Change in Porous Media, Int. J. Heat Mass Transfer, vol. 31, pp. 35-46, 1988.
    • (1988) Int. J. Heat Mass Transfer , vol.31 , pp. 35-46
    • Beckermann, C.1    Viskanta, R.2
  • 6
    • 0023119587 scopus 로고
    • An Enthalphy Method for Convection/ Diffusion Phase Change
    • V. R. Voller, M. Cross, and N. C. Markatos, An Enthalphy Method for Convection/ Diffusion Phase Change, Int. J. Numer. Meth. Eng., vol. 24, pp. 271-284, 1987.
    • (1987) Int. J. Numer. Meth. Eng. , vol.24 , pp. 271-284
    • Voller, V.R.1    Cross, M.2    Markatos, N.C.3
  • 7
    • 0026171498 scopus 로고
    • Application of Weighting Function Scheme on Convection-Conduction Phase Change Problems
    • W. Y. Raw and S. L. Lee, Application of Weighting Function Scheme on Convection-Conduction Phase Change Problems, Int. J. Heat Mass Transfer, vol. 34, pp. 1503-1513, 1991.
    • (1991) Int. J. Heat Mass Transfer , vol.34 , pp. 1503-1513
    • Raw, W.Y.1    Lee, S.L.2
  • 8
    • 0025522209 scopus 로고
    • Steady-State Natural Convection with Phase Change
    • W. Shyy and M.-H. Chen, Steady-State Natural Convection with Phase Change, Int. J. Heat Mass Transfer, vol. 33, pp. 2545-2563, 1990.
    • (1990) Int. J. Heat Mass Transfer , vol.33 , pp. 2545-2563
    • Shyy, W.1    Chen, M.-H.2
  • 9
    • 0023437892 scopus 로고
    • A Continuum Model for Momentum, Heat, and Species Transport in Binary Solid-Liquid Phase Change Systems. I. Model Formulation
    • W. D. Bennon and F. P. Incropera, A Continuum Model for Momentum, Heat, and Species Transport in Binary Solid-Liquid Phase Change Systems. I. Model Formulation, Int. J. Heat Mass Transfer, vol. 30, pp. 2161-2170, 1987.
    • (1987) Int. J. Heat Mass Transfer , vol.30 , pp. 2161-2170
    • Bennon, W.D.1    Incropera, F.P.2
  • 10
    • 0027589631 scopus 로고
    • Analytical and Numerical Modeling of the Dip-Coating Process
    • H. Zhang, M. K. Moallemi, and S. Kumar, Analytical and Numerical Modeling of the Dip-Coating Process, J. Heat Transfer, vol. 115, pp. 453-460, 1993.
    • (1993) J. Heat Transfer , vol.115 , pp. 453-460
    • Zhang, H.1    Moallemi, M.K.2    Kumar, S.3
  • 11
    • 0019601449 scopus 로고
    • E, M. Sparrow and S. V. Patankar, Numerical Solution of Moving Boundary Problems by Boundary Immobilization and a Control-Volume-Based Finite Difference Scheme
    • C. F. Hsu, E, M. Sparrow and S. V. Patankar, Numerical Solution of Moving Boundary Problems by Boundary Immobilization and a Control-Volume-Based Finite Difference Scheme, Int. J. Heat Mass Transfer, vol. 24, pp. 1335-1343, 1981.
    • (1981) Int. J. Heat Mass Transfer , vol.24 , pp. 1335-1343
    • Hsu, C.F.1
  • 12
    • 0020091453 scopus 로고
    • Thermal and Fluid Flow Effects during Solidification in a Rectangular Enclosure
    • N. Ramachandran, J. P. Gupta, and Y. Jaluria, Thermal and Fluid Flow Effects during Solidification in a Rectangular Enclosure, Int. J. Heat Mass Transfer, vol. 25, pp. 187-194, 1982.
    • (1982) Int. J. Heat Mass Transfer , vol.25 , pp. 187-194
    • Ramachandran, N.1    Gupta, J.P.2    Jaluria, Y.3
  • 13
    • 0026055642 scopus 로고
    • Effects of Buoyancy and Surface Tension Forces on the Melting of a Metal
    • M. Lacroix, Effects of Buoyancy and Surface Tension Forces on the Melting of a Metal, Numer. Heat Transfer, Part A, vol. 19, pp. 101-115, 1991.
    • (1991) Numer. Heat Transfer, Part A , vol.19 , pp. 101-115
    • Lacroix, M.1
  • 14
    • 0022287201 scopus 로고
    • Transient Two-Dimensional Phase Change with Convection Using Deforming Finite Elements
    • R. W. Lewis, K. Morgan, J. A, Johnson, and W. R. Smith (eds.), Pineridge Press, Swansea
    • M. R. Albert and K. O’Neill, Transient Two-Dimensional Phase Change with Convection Using Deforming Finite Elements, in R. W. Lewis, K. Morgan, J. A, Johnson, and W. R. Smith (eds.), Computer Techniques in Heat Transfer, vol. 1, Pineridge Press, Swansea, 1985.
    • (1985) Computer Techniques in Heat Transfer , vol.1
    • Albert, M.R.1    O’neill, K.2
  • 15
    • 0029135481 scopus 로고
    • Numerical Simulation of Hot-Dip Metallic Coating Process
    • H. Zhang and M. K. Moallemi, Numerical Simulation of Hot-Dip Metallic Coating Process, Int. J. Heat Mass Transfer, vol. 38, pp. 241-257, 1995.
    • (1995) Int. J. Heat Mass Transfer , vol.38 , pp. 241-257
    • Zhang, H.1    Moallemi, M.K.2
  • 18
    • 0024088355 scopus 로고
    • Calculation Procedure for Viscous Incompressible Flows in Complex Geometries
    • K. C. Karki and S. V. Patankar, Calculation Procedure for Viscous Incompressible Flows in Complex Geometries, Numer. Heat Transfer, vol. 14, pp. 295-307, 1988.
    • (1988) Numer. Heat Transfer , vol.14 , pp. 295-307
    • Karki, K.C.1    Patankar, S.V.2
  • 19
    • 0026820986 scopus 로고
    • A Numerical Method for Phase Change Problems with Convection and Diffusion
    • C. J. Kim and M. Kaviany, A Numerical Method for Phase Change Problems with Convection and Diffusion, Int. J. Heat Mass Transfer, vol. 35, pp. 457-467, 1992.
    • (1992) Int. J. Heat Mass Transfer , vol.35 , pp. 457-467
    • Kim, C.J.1    Kaviany, M.2
  • 20
    • 0023844135 scopus 로고
    • Role of Underrelaxation in Momentum Interpolation for Calculation of Flow with Nonstaggered Grids
    • S. Majumdar, Role of Underrelaxation in Momentum Interpolation for Calculation of Flow with Nonstaggered Grids, Numer. Heat Transfer, vol. 13, pp. 125-132, 1988.
    • (1988) Numer. Heat Transfer , vol.13 , pp. 125-132
    • Majumdar, S.1
  • 22
    • 0018036040 scopus 로고
    • An Experimental Study of Natural Convection in Concentric and Eccentric Horizontal Cylindrical Annuli
    • T. H. Kuehn and R. J. Goldstein, An Experimental Study of Natural Convection in Concentric and Eccentric Horizontal Cylindrical Annuli, J. Heat Transfer, vol. 100, pp. 635-640, 1978.
    • (1978) J. Heat Transfer , vol.100 , pp. 635-640
    • Kuehn, T.H.1    Goldstein, R.J.2
  • 23
    • 0024056046 scopus 로고
    • Solidification of a Pure Metal at a Vertical Wall in the Presence of Liquid Superheat
    • F. Wolff and R. Viskanta, Solidification of a Pure Metal at a Vertical Wall in the Presence of Liquid Superheat, Int. J. Heat Mass Transfer, vol. 31, pp. 1735-1744, 1988.
    • (1988) Int. J. Heat Mass Transfer , vol.31 , pp. 1735-1744
    • Wolff, F.1    Viskanta, R.2
  • 25
    • 0027190297 scopus 로고
    • Melting in Rectangular and Cylindrical Cavities: Effects of Curvature, Aspect Ratio and Buoyancy Forces, Advanced Computations in Materials Processing
    • O. Adetutu and V. Prasad, Melting in Rectangular and Cylindrical Cavities: Effects of Curvature, Aspect Ratio and Buoyancy Forces, Advanced Computations in Materials Processing, ASME HTD-uol. 241, pp. 45-56, 1992.
    • (1992) ASME Htd-Uol , vol.241 , pp. 45-56
    • Adetutu, O.1    Prasad, V.2
  • 26
    • 0020802973 scopus 로고
    • Experimental Study of Solidification Heat Transfer in an Open Rectangular Cavity
    • C. J. Ho and R. Viskanta, Experimental Study of Solidification Heat Transfer in an Open Rectangular Cavity, J. Heat Transfer, vol. 105, pp. 671-673, 1983.
    • (1983) J. Heat Transfer , vol.105 , pp. 671-673
    • Ho, C.J.1    Viskanta, R.2
  • 27
    • 0345720221 scopus 로고
    • Shrinkage Formation during the Solidification Process in an Open Rectangular Cavity
    • C. J. Kim and S. T. Ro, Shrinkage Formation during the Solidification Process in an Open Rectangular Cavity, J. Heat Transfer, vol. 115, pp. 1078-1081, 1993.
    • (1993) J. Heat Transfer , vol.115 , pp. 1078-1081
    • Kim, C.J.1    Ro, S.T.2
  • 28
    • 0030701752 scopus 로고
    • A Solution Adaptive Scheme for Deformable Free Surface Flow and Heat Transfer Problems
    • H. Zhang, V. Prasad, and M. K. Moallemi, A Solution Adaptive Scheme for Deformable Free Surface Flow and Heat Transfer Problems, ASME HTD-vol. 311, pp. 119-127, 1995.
    • (1995) ASME Htd-Vol , vol.311 , pp. 119-127
    • Zhang, H.1    Prasad, V.2    Moallemi, M.K.3
  • 29
    • 0029390546 scopus 로고
    • A Multizone Adaptive Process Model for Czochralski Crystal Growth at Low and High Pressures
    • H. Zhang and V. Prasad, A Multizone Adaptive Process Model for Czochralski Crystal Growth at Low and High Pressures, J. Crystal Growth, vol. 155, pp. 47-65, 1995.
    • (1995) J. Crystal Growth , vol.155 , pp. 47-65
    • Zhang, H.1    Prasad, V.2
  • 30
    • 0002138247 scopus 로고
    • Czochralski Growth
    • in D. T. J. Hurle (ed.), North-Holland, New York
    • D. T. J. Hurle and B. Cockayne, Czochralski Growth, in D. T. J. Hurle (ed.), Bulk Crystal Growth, pp. 99-211, North-Holland, New York, 1994.
    • (1994) Bulk Crystal Growth , pp. 99-211
    • Hurle, D.T.J.1    Cockayne, B.2
  • 31
    • 0000564728 scopus 로고
    • Modeling Bridgman and Czochralski Growth
    • in D. T. J. Hurle (ed.), North-Holland, New York
    • F. Dupret and N. V. D. Bogaert, Modeling Bridgman and Czochralski Growth, in D. T. J. Hurle (ed.), Bulk Crystal Growth, pp. 875-1013, North-Holland, New York, 1994.
    • (1994) Bulk Crystal Growth , pp. 875-1013
    • Dupret, F.1    Bogaert, N.V.D.2
  • 32
    • 46149141788 scopus 로고
    • Thermal-Capillary Analysis of Czochralski and Liquid Encapsulated Czochralski Crystal Growth
    • J. J. Derby and R. A. Brown, Thermal-Capillary Analysis of Czochralski and Liquid Encapsulated Czochralski Crystal Growth, J. Crystal Growth, vol. 74, pp. 605-624, 1986.
    • (1986) J. Crystal Growth , vol.74 , pp. 605-624
    • Derby, J.J.1    Brown, R.A.2
  • 33
    • 0024909987 scopus 로고
    • Numerical Simulation of the Czochralski Bulk Flow of Silicon on a Domain Confined by a Moving Crystal-Melt Interface and a Curved Melt-Gas Meniscus
    • H. Kopetsch, Numerical Simulation of the Czochralski Bulk Flow of Silicon on a Domain Confined by a Moving Crystal-Melt Interface and a Curved Melt-Gas Meniscus, PCH PhysicoChem. Hydrodynam., vol. 11, pp. 357-375, 1989.
    • (1989) PCH Physicochem. Hydrodynam. , vol.11 , pp. 357-375
    • Kopetsch, H.1
  • 34
    • 49049134162 scopus 로고
    • Adaptive Zoning for Singular Problems in Two Dimensions
    • J. U. Brackbill and J. S. Saltzman, Adaptive Zoning for Singular Problems in Two Dimensions, J. Comput. Phys., vol. 46, pp. 342-368, 1982.
    • (1982) J. Comput. Phys. , vol.46 , pp. 342-368
    • Brackbill, J.U.1    Saltzman, J.S.2
  • 35
    • 0027702357 scopus 로고
    • Oscillatory convection in Low Aspect Ratio Czochralski Melts
    • A. Anselmo, V. Prasad, J. Koziol, and K. P. Gupta, Oscillatory convection in Low Aspect Ratio Czochralski Melts, J. Crystal Growth, vol. 134, pp. 116-141, 1993.
    • (1993) J. Crystal Growth , vol.134 , pp. 116-141
    • Anselmo, A.1    Prasad, V.2    Koziol, J.3    Gupta, K.P.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.