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Volumn 178, Issue 1, 2002, Pages 58-80

A two-scale method for the computation of solid-liquid phase transitions with dendritic microstructure

Author keywords

Crystal growth; Gibbs Thomson law; Homogenization; Kinetic undercooling; Multiscale model; Stefan problem

Indexed keywords

CRYSTAL GROWTH; UNDERCOOLING;

EID: 0036570597     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.2002.7018     Document Type: Article
Times cited : (23)

References (29)
  • 2
    • 0000299096 scopus 로고
    • Variational algorithms and pattern formation in dendritic solidification
    • (1993) J. Comput. Phys , vol.106 , pp. 337
    • Almgren, R.1
  • 7
    • 85190570776 scopus 로고    scopus 로고
    • Analytical Solutions for a Stefan Problem with Gibbs-Thomson Correction, Preprint No. 13/99 (Fachbereich Mathematik/Informatik, Universität Gesamthochschule Kassel)
    • (1999)
    • Escher, J.1    Prüss, J.2    Simonett, G.3
  • 8
    • 0004009003 scopus 로고
    • Thermomechanics of Evolving Phase Boundaries in the Plane
    • (Clarendon, Oxford)
    • (1993)
    • Gurtin, M.E.1
  • 9
    • 0001309752 scopus 로고
    • Temperature field around spherical, cylindrical and needle-shaped crystals which grow in supercooled melt
    • (in Russian)
    • (1947) Dokl. Akad. Nauk USSR , vol.58 , pp. 567
    • Ivantsov, G.P.1
  • 11
    • 0002178791 scopus 로고
    • A numerical approach to three-dimensional dendritic solidification
    • (1994) Exp. Math , vol.1 , Issue.3 , pp. 59
    • Kobayashi, R.1
  • 12
    • 34249817369 scopus 로고
    • Modeling and numerical simulation of dendritic crystal growth
    • (1993) Physica D , vol.63 , pp. 410
    • Kobayashi, R.1
  • 14
    • 84971922508 scopus 로고
    • Solutions for the two-phase Stefan problem with the Gibbs-Thomson law for the melting temperature
    • (1990) Eur. J. Appl. Math , vol.1 , pp. 101
    • Luckhaus, S.1
  • 15
    • 0009023246 scopus 로고
    • Solidification of Alloys and the Gibbs-Thomson Law
    • Preprint (University of Bonn )
    • (1994)
    • Luckhaus, S.1
  • 18
    • 0004117425 scopus 로고
    • Thermodynamics of Irreversible Processes
    • (Interscience, New York)
    • (1967)
    • Prigogine, I.1
  • 20
    • 0024931737 scopus 로고
    • Modelling of microstructure formation in solidification processes
    • (1989) Int. Mater. Rev , vol.34 , Issue.3 , pp. 93
    • Rappaz, M.1
  • 23
    • 0029414197 scopus 로고
    • A numerical study of the combined effects of microsegregation, mushy zone permeability and flow, caused by volume contraction and thermosolutal convection, on macrosegregation and eutectic formation in binary alloy solidification
    • (1995) Int. J. Heat Mass Transfer , vol.38 , Issue.18 , pp. 3455
    • Schneider, M.C.1    Beckermann, C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.