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Volumn 110, Issue 3-6, 2003, Pages 1055-1067

Computations of Dendrites in 3-D and Comparison with Microgravity Experiments

Author keywords

Dendrite; Microgravity; Phase field equations; Single needle crystal; Solidification; Succinonitrile

Indexed keywords


EID: 0037277505     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1022140725763     Document Type: Article
Times cited : (10)

References (31)
  • 1
    • 0001309752 scopus 로고
    • Temperature field around spherical, cylindrical and needle-shaped crystals which grow in supercooled melt
    • G. P. Ivantsov, Temperature field around spherical, cylindrical and needle-shaped crystals which grow in supercooled melt, Dokl. Akad. Nauk USSR 58:567 (1947)
    • (1947) Dokl. Akad. Nauk USSR , vol.58 , pp. 567
    • Ivantsov, G.P.1
  • 3
    • 26544465467 scopus 로고
    • Geometric models of interface evolution. II Numerical Simulation
    • D. A. Kessler, J. Koplik, and H. Levine, Geometric models of interface evolution. II Numerical Simulation, Phys. Rev. A 30:3161 (1984)
    • (1984) Phys. Rev. A , vol.30 , pp. 3161
    • Kessler, D.A.1    Koplik, J.2    Levine, H.3
  • 4
    • 0024000989 scopus 로고
    • Pattern selection in fingered growth phenomena
    • D. A. Kessler, J. Koplik, and H. Levine, Pattern selection in fingered growth phenomena, Adv. Phys. 37:255 (1988)
    • (1988) Adv. Phys. , vol.37 , pp. 255
    • Kessler, D.A.1    Koplik, J.2    Levine, H.3
  • 5
    • 0002566103 scopus 로고
    • Pattern selection in two-dimensional dendritic growth
    • E. Brener and V. I. Melnikov, Pattern selection in two-dimensional dendritic growth, Adv. Phys. 40:53 (1991)
    • (1991) Adv. Phys. , vol.40 , pp. 53
    • Brener, E.1    Melnikov, V.I.2
  • 6
    • 0042226955 scopus 로고
    • C. Godreche, ed. (Cambridge University Press, Cambridge, England)
    • Y. Pomeau and M. B. Amar, Solids Far from Equilibrium, C. Godreche, ed. (Cambridge University Press, Cambridge, England, 1991), p. 365
    • (1991) Solids Far from Equilibrium , pp. 365
    • Pomeau, Y.1    Amar, M.B.2
  • 7
    • 0345972873 scopus 로고
    • The limiting behavior of a free boundary in the phase field model
    • G. Caginalp, The limiting behavior of a free boundary in the phase field model (Carnegie-Mellon Research Report Number 82-5, 1982).
    • (1982) Carnegie-Mellon Research Report Number 82-5 , vol.82 , Issue.5
    • Caginalp, G.1
  • 8
    • 0002071520 scopus 로고
    • Applications of Field Theory to Statistical Mechanics, L. Garrido, ed. (Springer, Berlin)
    • G. Caginalp, Lecture Notes in Physics, Applications of Field Theory to Statistical Mechanics, L. Garrido, ed. (Springer, Berlin, 1984), p. 216
    • (1984) Lecture Notes in Physics , pp. 216
    • Caginalp, G.1
  • 9
    • 0033324150 scopus 로고    scopus 로고
    • Second-order phase field asymptotics for unequal conductivities
    • R. Almgren, Second-order phase field asymptotics for unequal conductivities, SIAM J. Appl. Math. 59:2086 (1999); See also, S. Hariharan and G. W. Young, Comparison of asymptotic solutions of a phase-field model to a sharp-interface model, SIAM J. Appl. Math. 62:244 (2001)
    • (1999) SIAM J. Appl. Math. , vol.59 , pp. 2086
    • Almgren, R.1
  • 10
    • 0036228732 scopus 로고    scopus 로고
    • Comparison of asymptotic solutions of a phase-field model to a sharp-interface model
    • R. Almgren, Second-order phase field asymptotics for unequal conductivities, SIAM J. Appl. Math. 59:2086 (1999); See also, S. Hariharan and G. W. Young, Comparison of asymptotic solutions of a phase-field model to a sharp-interface model, SIAM J. Appl. Math. 62:244 (2001)
    • (2001) SIAM J. Appl. Math. , vol.62 , pp. 244
    • Hariharan, S.1    Young, G.W.2
  • 11
    • 0000537420 scopus 로고    scopus 로고
    • Universal dynamics of phase-field models for dendrite growth
    • Y. Kim, N. Provatas, N. Goldenfeld, and J. Dantzig, Universal dynamics of phase-field models for dendrite growth, Phys. Rev. E 59:2546 (1999)
    • (1999) Phys. Rev. E , vol.59 , pp. 2546
    • Kim, Y.1    Provatas, N.2    Goldenfeld, N.3    Dantzig, J.4
  • 12
    • 0040280034 scopus 로고
    • Material instabilities in continuum problems and related mathematical problems
    • J. Ball, ed. (Oxford Science Publications, Oxford, England)
    • G. Caginalp, Material instabilities in continuum problems and related mathematical problems, Heriot-Watt Symposium (1985-1986), J. Ball, ed. (Oxford Science Publications, Oxford, England, 1988), p. 35
    • (1988) Heriot-Watt Symposium (1985-1986) , pp. 35
    • Caginalp, G.1
  • 13
    • 34250131162 scopus 로고
    • An analysis of a phase field mdel of a free boundary
    • G. Caginalp, An analysis of a phase field mdel of a free boundary, Arch. Rational Mech. Anal. 92:205 (1986)
    • (1986) Arch. Rational Mech. Anal. , vol.92 , pp. 205
    • Caginalp, G.1
  • 14
    • 0040250712 scopus 로고
    • Efficient computation of a sharp interface by spreading via phase field methods
    • G. Caginalp and E. A. Socolovsky, Efficient computation of a sharp interface by spreading via phase field methods, Appl. Math. Lett. 2:117 (1989)
    • (1989) Appl. Math. Lett. , vol.2 , pp. 117
    • Caginalp, G.1    Socolovsky, E.A.2
  • 15
    • 0000799880 scopus 로고    scopus 로고
    • Three-dimensional growth morphologies in diffusion-controlled channel growth
    • T. Abel, E. Brener, and H. M. Krumbhaar, Three-dimensional growth morphologies in diffusion-controlled channel growth, Phys. Rev. E 55:7789 (1997)
    • (1997) Phys. Rev. E , vol.55 , pp. 7789
    • Abel, T.1    Brener, E.2    Krumbhaar, H.M.3
  • 16
    • 4243457001 scopus 로고    scopus 로고
    • Quantitative phase-field modeling of dendritic growth in two and three dimensions
    • A. Karma and W-J. Rappel, Quantitative phase-field modeling of dendritic growth in two and three dimensions, Phys. Rev. E 57:4323 (1998)
    • (1998) Phys. Rev. E , vol.57 , pp. 4323
    • Karma, A.1    Rappel, W.-J.2
  • 17
    • 0001323702 scopus 로고    scopus 로고
    • Three-dimensional dendrite-tip morphology at low undercooling
    • A. Karma, Y. H. Lee, and M. Plapp, Three-dimensional dendrite-tip morphology at low undercooling, Phys. Rev. E 61:3996 (2000)
    • (2000) Phys. Rev. E , vol.61 , pp. 3996
    • Karma, A.1    Lee, Y.H.2    Plapp, M.3
  • 19
    • 0033898666 scopus 로고    scopus 로고
    • Modeling grain boundaries using a phase-field technique
    • J. A. Warner, R. Kobayahsi, and W. C. Carter, Modeling grain boundaries using a phase-field technique, J. Cryst. Growth 211:18 (2000)
    • (2000) J. Cryst. Growth , vol.211 , pp. 18
    • Warner, J.A.1    Kobayahsi, R.2    Carter, W.C.3
  • 20
    • 0000945296 scopus 로고    scopus 로고
    • Adaptive mesh refinement computation of solidification microstructures using dynamic data structure
    • N. Provatas, N. Goldenfeld, and J. Dandtzig, Adaptive mesh refinement computation of solidification microstructures using dynamic data structure, J. Comp. Phys 148:265 (1999)
    • (1999) J. Comp. Phys , vol.148 , pp. 265
    • Provatas, N.1    Goldenfeld, N.2    Dandtzig, J.3
  • 22
    • 0035061909 scopus 로고    scopus 로고
    • Influence of freezing rate oscillations and convection on eutectic microstructure
    • L. L. Regel, W. R. Wilcox, D. Popov, and F. C. Li, Influence of freezing rate oscillations and convection on eutectic microstructure, Acta Astronautics 48:101 (2001)
    • (2001) Acta Astronautics , vol.48 , pp. 101
    • Regel, L.L.1    Wilcox, W.R.2    Popov, D.3    Li, F.C.4
  • 25
    • 0024766032 scopus 로고
    • Effects of crystal-melt interfacial energy anisotropy on dendritic morphology and growth kinetics
    • M. E. Glicksman and N. B. Singh, Effects of crystal-melt interfacial energy anisotropy on dendritic morphology and growth kinetics, J. Cryst. Growth 98:207 (1989)
    • (1989) J. Cryst. Growth , vol.98 , pp. 207
    • Glicksman, M.E.1    Singh, N.B.2
  • 26
    • 0004918246 scopus 로고
    • The role of microscopic anisotropy in macroscopic behavior of a phase boundary
    • G. Caginalp, The role of microscopic anisotropy in macroscopic behavior of a phase boundary, Ann. Phys. 172:136 (1986)
    • (1986) Ann. Phys. , vol.172 , pp. 136
    • Caginalp, G.1
  • 27
    • 0347864311 scopus 로고
    • Oxford Applied Mathematics and Computing Science Series
    • G. D. Smith, Numerical Solution of PDE (Oxford Applied Mathematics and Computing Science Series, 1985)
    • (1985) Numerical Solution of PDE
    • Smith, G.D.1
  • 30
    • 0031568153 scopus 로고    scopus 로고
    • The phase-field method in limit: A comparison between model potentials
    • M. Fabri and V. R Voller, The phase-field method in limit: A comparison between model potentials, J. Comp. Physics 130:256 (1997)
    • (1997) J. Comp. Physics , vol.130 , pp. 256
    • Fabri, M.1    Voller, V.R.2
  • 31
    • 0029633174 scopus 로고
    • Optimum stability conjecture for the role of interface kinetics in selection of dendrite operating state
    • R. Sekerka, Optimum stability conjecture for the role of interface kinetics in selection of dendrite operating state, J. Cryst. Growth 154:377 (1995)
    • (1995) J. Cryst. Growth , vol.154 , pp. 377
    • Sekerka, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.