메뉴 건너뛰기




Volumn 195, Issue 1, 2004, Pages 153-174

Adaptive finite elements with high aspect ratio for the computation of coalescence using a phase-field model

Author keywords

[No Author keywords available]

Indexed keywords

ASPECT RATIO; BINARY ALLOYS; COALESCENCE; FINITE ELEMENT METHOD; LINEAR SYSTEMS; NUMERICAL METHODS; PHASE INTERFACES; PIECEWISE LINEAR TECHNIQUES;

EID: 1542531175     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jcp.2003.09.021     Document Type: Article
Times cited : (19)

References (30)
  • 1
    • 85190260659 scopus 로고    scopus 로고
    • Modeling of Casting, Welding, and Advanced Solidification Processes X, The Minerals, Metals and Materials Society
    • Warrendale, PA
    • D. Stefanescu, J. Warren, M. Jolly, M. Krane, Modeling of Casting, Welding, and Advanced Solidification Processes X, The Minerals, Metals and Materials Society, Warrendale, PA, 2003.
    • (2003)
    • Stefanescu, D.1    Warren, J.2    Jolly, M.3    Krane, M.4
  • 2
    • 0037042092 scopus 로고    scopus 로고
    • A pseudo front tracking technique for the modelling of solidification microstructures in multicomponent alloys
    • A. Jacot, M. Rappaz, A pseudo front tracking technique for the modelling of solidification microstructures in multicomponent alloys, Acta Mater. 50 (2002) 1909-1926.
    • (2002) Acta Mater. , vol.50 , pp. 1909-1926
    • Jacot, A.1    Rappaz, M.2
  • 3
    • 0029684784 scopus 로고    scopus 로고
    • A front-tracking method for dendritic solidification
    • D. Juric, G. Tryggvason, A front-tracking method for dendritic solidification, J. Comput. Phys. 123 (1996) 127-148.
    • (1996) J. Comput. Phys. , vol.123 , pp. 127-148
    • Juric, D.1    Tryggvason, G.2
  • 4
    • 0002813701 scopus 로고
    • A numerical analysis of an anisotropic phase field model
    • G. Caginalp, J.-T. Lin, A numerical analysis of an anisotropic phase field model, IMA J. Appl. Math. 39 (1) (1987) 51-66.
    • (1987) IMA J. Appl. Math. , vol.39 , Issue.1 , pp. 51-66
    • Caginalp, G.1    Lin, J.-T.2
  • 5
    • 0040250712 scopus 로고
    • Efficient computation of a sharp interface by spreading via phase field methods
    • G. Caginalp, E.A. Socolovsky, Efficient computation of a sharp interface by spreading via phase field methods, Appl. Math. Lett. 2 (2) (1989) 117-120.
    • (1989) Appl. Math. Lett. , vol.2 , Issue.2 , pp. 117-120
    • Caginalp, G.1    Socolovsky, E.A.2
  • 6
    • 0001299959 scopus 로고
    • Phase-field and sharp-interface alloy models
    • G. Caginalp, W. Xie, Phase-field and sharp-interface alloy models, Phys. Rev. E 48 (3) (1993) 1897-1909.
    • (1993) Phys. Rev. E , vol.48 , Issue.3 , pp. 1897-1909
    • Caginalp, G.1    Xie, W.2
  • 7
    • 0032327786 scopus 로고    scopus 로고
    • Convergence of the phase field model to its sharp interface limits
    • G. Caginalp, X. Chen, Convergence of the phase field model to its sharp interface limits, Eur. J. Appl. Math. 9 (4) (1998) 417-445.
    • (1998) Eur. J. Appl. Math. , vol.9 , Issue.4 , pp. 417-445
    • Caginalp, G.1    Chen, X.2
  • 10
    • 0000405986 scopus 로고
    • Diffuse interface model of diffusion-limited crystal growth
    • J. Collins, H. Levine, Diffuse interface model of diffusion-limited crystal growth, Phys. Rev. B 31 (9) (1985) 6119-6122.
    • (1985) Phys. Rev. B , vol.31 , Issue.9 , pp. 6119-6122
    • Collins, J.1    Levine, H.2
  • 11
    • 34249817369 scopus 로고
    • Modeling and numerical simulations of dendritic crystal growth
    • R. Kobayashi, Modeling and numerical simulations of dendritic crystal growth, Physica D 63 (1993) 410-423.
    • (1993) Physica D , vol.63 , pp. 410-423
    • Kobayashi, R.1
  • 12
    • 5544229221 scopus 로고
    • Phase-field model of eutectic growth
    • A. Karma, Phase-field model of eutectic growth, Phys. Rev. E 49 (1994) 2245-2250.
    • (1994) Phys. Rev. E , vol.49 , pp. 2245-2250
    • Karma, A.1
  • 13
    • 0029254965 scopus 로고
    • Prediction of dendritic growth and microseggregation patterns in a binary alloy using the phase-field model
    • J. Warren, W. Boettinger, Prediction of dendritic growth and microseggregation patterns in a binary alloy using the phase-field model, Acta Metall. Mater. 43 (2) (1995) 689-703.
    • (1995) Acta Metall. Mater. , vol.43 , Issue.2 , pp. 689-703
    • Warren, J.1    Boettinger, W.2
  • 15
    • 0036036465 scopus 로고    scopus 로고
    • Phase-field models for microstructure evolutions
    • L. Chen, Phase-field models for microstructure evolutions, Annual Rev. Mater. Res. 32 (2002) 163-194.
    • (2002) Annual Rev. Mater. Res. , vol.32 , pp. 163-194
    • Chen, L.1
  • 16
    • 0013037510 scopus 로고    scopus 로고
    • Approximation of curvature dependent interface motion
    • (York, 1996), Oxford University Press, New York
    • C.M. Elliott, Approximation of curvature dependent interface motion, in: The State of the Art in Numerical Analysis (York, 1996), Oxford University Press, New York, 1997, pp. 407-440.
    • (1997) The State of the Art in Numerical Analysis , pp. 407-440
    • Elliott, C.M.1
  • 19
    • 0001832671 scopus 로고    scopus 로고
    • The multiphase-field model with an integrated concept for modelling solute diffusion
    • J. Tiaden, B. Nestler, H. Diepers, I. Steinbach, The multiphase-field model with an integrated concept for modelling solute diffusion, Physica D: Nonlinear Phenomena 115 (1-2) (1998) 73-86.
    • (1998) Physica D: Nonlinear Phenomena , vol.115 , Issue.1-2 , pp. 73-86
    • Tiaden, J.1    Nestler, B.2    Diepers, H.3    Steinbach, I.4
  • 20
    • 0347946555 scopus 로고    scopus 로고
    • A multiphase-field model of eutectic and peritectic alloys: Numerical simulation of growth structures
    • B. Nestler, A. Wheeler, A multiphase-field model of eutectic and peritectic alloys: Numerical simulation of growth structures, Physica D 138 (1-2) (2000) 114-133.
    • (2000) Physica D , vol.138 , Issue.1-2 , pp. 114-133
    • Nestler, B.1    Wheeler, A.2
  • 21
    • 0037355633 scopus 로고    scopus 로고
    • Last stage solidification of alloys: A theoretical study of dendrite arm and grain coalescence
    • M. Rappaz, A. Jacot, W. Boettinger, Last stage solidification of alloys: A theoretical study of dendrite arm and grain coalescence, Met. Trans. A 34 (2003) 467-479.
    • (2003) Met. Trans. A , vol.34 , pp. 467-479
    • Rappaz, M.1    Jacot, A.2    Boettinger, W.3
  • 22
    • 0000945296 scopus 로고    scopus 로고
    • Adaptive mesh refinement computation of solidification microstructures using dynamic data structures
    • N. Provatas, N. Goldenfeld, J. Dantzig, Adaptive mesh refinement computation of solidification microstructures using dynamic data structures, J. Comput. Phys. 148 (1) (1999) 265-290.
    • (1999) J. Comput. Phys. , vol.148 , Issue.1 , pp. 265-290
    • Provatas, N.1    Goldenfeld, N.2    Dantzig, J.3
  • 23
    • 0030137571 scopus 로고    scopus 로고
    • Computation of three dimensional dendrites with finite elements
    • A. Schmidt, Computation of three dimensional dendrites with finite elements, J. Comput. Phys. 125 (2) (1996) 293-312.
    • (1996) J. Comput. Phys. , vol.125 , Issue.2 , pp. 293-312
    • Schmidt, A.1
  • 24
    • 85006910088 scopus 로고    scopus 로고
    • Anisotropic, adaptive finite elements for the computation of a solutal dendrite
    • E. Burman, M. Picasso, Anisotropic, adaptive finite elements for the computation of a solutal dendrite, J. Interface Free Boundaries 5 (2003) 103-127.
    • (2003) J. Interface Free Boundaries , vol.5 , pp. 103-127
    • Burman, E.1    Picasso, M.2
  • 25
    • 0037280081 scopus 로고    scopus 로고
    • Numerical study of the effectivity index for an anisotropic error indicator based on Zienkiewicz-Zhu error estimator
    • M. Picasso, Numerical study of the effectivity index for an anisotropic error indicator based on Zienkiewicz-Zhu error estimator, Comm. Numer. Methods Engrg. 19 (2002) 13-23.
    • (2002) Comm. Numer. Methods Engrg. , vol.19 , pp. 13-23
    • Picasso, M.1
  • 26
    • 0042931313 scopus 로고    scopus 로고
    • An anisotropic error indicator based on Zienkiewicz-Zhu error estimator: Application to elliptic and parabolic problems
    • M. Picasso, An anisotropic error indicator based on Zienkiewicz-Zhu error estimator: Application to elliptic and parabolic problems, SIAM J. Sci. Comput. 24 (2003) 1328-1355.
    • (2003) SIAM J. Sci. Comput. , vol.24 , pp. 1328-1355
    • Picasso, M.1
  • 27
    • 0009789223 scopus 로고    scopus 로고
    • A multiphase-field concept: Numerical simulations of moving phase boundaries and multiple junctions
    • (electronic)
    • H. Garcke, B. Nestler, B. Stoth, A multiphase-field concept: numerical simulations of moving phase boundaries and multiple junctions, SIAM J. Appl. Math. 60 (1) (2000) 295-315 (electronic).
    • (2000) SIAM J. Appl. Math. , vol.60 , Issue.1 , pp. 295-315
    • Garcke, H.1    Nestler, B.2    Stoth, B.3
  • 28
    • 0025495043 scopus 로고
    • A discourse on the stability conditions for mixed finite element formulations
    • (reliability in computational mechanics (Austin, TX, 1989))
    • F. Brezzi, K. Bathe, A discourse on the stability conditions for mixed finite element formulations, Comput. Methods Appl. Mech. Engrg. 82 (1-3) (1990) 27-57 (reliability in computational mechanics (Austin, TX, 1989)).
    • (1990) Comput. Methods Appl. Mech. Engrg. , vol.82 , Issue.1-3 , pp. 27-57
    • Brezzi, F.1    Bathe, K.2
  • 29
    • 0027811215 scopus 로고
    • The global dynamics of discrete semilinear parabolic equations
    • C. Elliott, A. Stuart, The global dynamics of discrete semilinear parabolic equations, SIAM J. Numer. Anal. 30 (6) (1993) 1622-1663.
    • (1993) SIAM J. Numer. Anal. , vol.30 , Issue.6 , pp. 1622-1663
    • Elliott, C.1    Stuart, A.2
  • 30
    • 85190275514 scopus 로고    scopus 로고
    • The BL213 mesh generator: Beginner's guide, user's and programmer's manual
    • Technical Report RT-0194, Institut National de Recherche en Informatique et Automatique (INRIA), Rocquencourt, 78153 Le Chesnay, France
    • H. Borouchaki, P. Laug, The BL213 mesh generator: Beginner's guide, user's and programmer's manual, Technical Report RT-0194, Institut National de Recherche en Informatique et Automatique (INRIA), Rocquencourt, 78153 Le Chesnay, France, 1996.
    • (1996)
    • Borouchaki, H.1    Laug, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.