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Volumn 83, Issue 4, 2011, Pages

Phase-field model of solid-liquid phase transition with density difference and latent heat in velocity and elastic fields

Author keywords

[No Author keywords available]

Indexed keywords

CONTACT REGIONS; DENSITY DIFFERENCE; ELASTIC FIELDS; ELASTIC STRAIN; FIRST-ORDER; HEATED WALL; INTERFACE TEMPERATURES; LIQUID-LIQUID PHASE TRANSITIONS; LOCAL EQUILIBRIUM; ONE-COMPONENT SYSTEMS; PHASE-FIELD MODELS; SIMULATION RESULT; SOLID-LIQUID INTERFACES; SOLID-LIQUID PHASE TRANSITIONS; SOLID-LIQUID TRANSITION; SOLID-ROD; TWO-DIMENSION; VELOCITY FIELD;

EID: 79961040610     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.83.041504     Document Type: Article
Times cited : (8)

References (54)
  • 1
    • 0342583796 scopus 로고
    • RMPHAT 0034-6861 10.1103/RevModPhys.52.1
    • J. S. Langer, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.52.1 52, 1 (1980).
    • (1980) Rev. Mod. Phys. , vol.52 , pp. 1
    • Langer, J.S.1
  • 2
    • 34249817369 scopus 로고
    • PDNPDT 0167-2789 10.1016/0167-2789(93)90120-P
    • R. Kobayashi, Physica D PDNPDT 0167-2789 10.1016/0167-2789(93)90120-P 63, 410 (1993).
    • (1993) Physica D , vol.63 , pp. 410
    • Kobayashi, R.1
  • 3
    • 0029254965 scopus 로고
    • AMATEB 0956-7151 10.1016/0956-7151(94)00285-P
    • J. A. Warren and W. J. Boettinger, Acta Metall. Mater. AMATEB 0956-7151 10.1016/0956-7151(94)00285-P 43, 689 (1995).
    • (1995) Acta Metall. Mater. , vol.43 , pp. 689
    • Warren, J.A.1    Boettinger, W.J.2
  • 4
    • 4243457001 scopus 로고    scopus 로고
    • AMATEB 1539-3755 10.1103/PhysRevE.57.4323
    • A. Karma and W.-J. Rappel, Phys. Rev. E AMATEB 1539-3755 10.1103/PhysRevE.57.4323 57, 4323 (1998).
    • (1998) Phys. Rev. e , vol.57 , pp. 4323
    • Karma, A.1    Rappel, W.-J.2
  • 8
    • 0032288005 scopus 로고    scopus 로고
    • JCRGAE 0022-0248 10.1016/S0022-0248(98)00687-3
    • R. Tönhardt and G. Amberg, J. Cryst. Growth JCRGAE 0022-0248 10.1016/S0022-0248(98)00687-3 194, 406 (1998).
    • (1998) J. Cryst. Growth , vol.194 , pp. 406
    • Tönhardt, R.1    Amberg, G.2
  • 10
    • 0040927870 scopus 로고    scopus 로고
    • PDNPDT 0167-2789 10.1016/S0167-2789(99)00109-8
    • D. M. Anderson, G. B. McFadden, and A. A. Wheeler, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(99)00109-8 135, 175 (2000).
    • (2000) Physica D , vol.135 , pp. 175
    • Anderson, D.M.1    McFadden, G.B.2    Wheeler, A.A.3
  • 11
    • 0035473973 scopus 로고    scopus 로고
    • PDNPDT 1539-3755 10.1103/PhysRevE.64.041602
    • J.-H. Jeong, N. Goldenfeld, and J. A. Dantzig, Phys. Rev. E PDNPDT 1539-3755 10.1103/PhysRevE.64.041602 64, 041602 (2001).
    • (2001) Phys. Rev. e , vol.64 , pp. 041602
    • Jeong, J.-H.1    Goldenfeld, N.2    Dantzig, J.A.3
  • 12
    • 1342327953 scopus 로고    scopus 로고
    • JCRGAE 0022-0248 10.1016/j.jcrysgro.2004.01.016
    • C. W. Lan and C. J. Shih, J. Cryst. Growth JCRGAE 0022-0248 10.1016/j.jcrysgro.2004.01.016 264, 472 (2004).
    • (2004) J. Cryst. Growth , vol.264 , pp. 472
    • Lan, C.W.1    Shih, C.J.2
  • 13
    • 13544269341 scopus 로고    scopus 로고
    • Direct numerical simulations of flows with phase change
    • DOI 10.1016/j.compstruc.2004.05.021, PII S0045794904004158, Frontier of Multi-Phase Flow Analysis and Fluid-Structure
    • G. Tryggvason, A. Esmaeeli, and N. Al Rawahi, Comput. Struct. CMSTCJ 0045-7949 10.1016/j.compstruc.2004.05.021 83, 445 (2005). (Pubitemid 40219665)
    • (2005) Computers and Structures , vol.83 , Issue.6-7 , pp. 445-453
    • Tryggvason, G.1    Esmaeeli, A.2    Al-Rawahi, N.3
  • 14
    • 0000299092 scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.6.2401
    • P. C. Martin, O. Parodi, and P. S. Pershan, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.6.2401 6, 2401 (1972).
    • (1972) Phys. Rev. A , vol.6 , pp. 2401
    • Martin, P.C.1    Parodi, O.2    Pershan, P.S.3
  • 15
    • 0000535150 scopus 로고
    • PLRAAN 1098-0121 10.1103/PhysRevB.13.500
    • P. D. Fleming and C. Cohen, Phys. Rev. B PLRAAN 1098-0121 10.1103/PhysRevB.13.500 13, 500 (1976).
    • (1976) Phys. Rev. B , vol.13 , pp. 500
    • Fleming, P.D.1    Cohen, C.2
  • 16
    • 0031161265 scopus 로고    scopus 로고
    • JSTPBS 0022-4715 10.1007/BF02181271
    • G. Szamel, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF02181271 87, 1067 (1997).
    • (1997) J. Stat. Phys. , vol.87 , pp. 1067
    • Szamel, G.1
  • 17
    • 33846657451 scopus 로고    scopus 로고
    • JSTPBS 1098-0121 10.1103/PhysRevB.75.054301
    • S. Majaniemi and M. Grant, Phys. Rev. B JSTPBS 1098-0121 10.1103/PhysRevB.75.054301 75, 054301 (2007).
    • (2007) Phys. Rev. B , vol.75 , pp. 054301
    • Majaniemi, S.1    Grant, M.2
  • 18
    • 0037467248 scopus 로고    scopus 로고
    • JCOMEL 0953-8984 10.1088/0953-8984/15/11/313
    • A. Onuki, J. Phys. Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/15/ 11/313 15, S891 (2003);
    • (2003) J. Phys. Condens. Matter , vol.15 , pp. 891
    • Onuki, A.1
  • 20
    • 0000467453 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.82.1736
    • J. Möller and M. Grant, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.1736 82, 1736 (1999).
    • (1999) Phys. Rev. Lett. , vol.82 , pp. 1736
    • Möller, J.1    Grant, M.2
  • 21
    • 0033560197 scopus 로고    scopus 로고
    • EULEEJ 0295-5075 10.1209/epl/i1999-00247-9
    • K. Kassner and C. Misbah, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i1999-00247-9 46, 217 (1999)
    • (1999) Europhys. Lett. , vol.46 , pp. 217
    • Kassner, K.1    Misbah, C.2
  • 22
    • 0004287974 scopus 로고    scopus 로고
    • Cambridge University Press, Cambridge, U.K.
    • A. Onuki, Phase Transition Dynamics (Cambridge University Press, Cambridge, U.K., 2002).
    • (2002) Phase Transition Dynamics
    • Onuki, A.1
  • 23
    • 1442330162 scopus 로고    scopus 로고
    • EULEEJ 1539-3755 10.1103/PhysRevE.68.061502
    • A. Onuki, Phys. Rev. E EULEEJ 1539-3755 10.1103/PhysRevE.68.061502 68, 061502 (2003);
    • (2003) Phys. Rev. e , vol.68 , pp. 061502
    • Onuki, A.1
  • 24
    • 33947208063 scopus 로고    scopus 로고
    • Nonlinear elasticity theory of dislocation formation and composition change in binary alloys in three dimensions
    • DOI 10.1016/j.actamat.2006.11.030, PII S1359645406008421
    • A. Minami and A. Onuki, Acta Mater. ACMAFD 1359-6454 10.1016/j.actamat. 2006.11.030 55, 2375 (2007). (Pubitemid 46436572)
    • (2007) Acta Materialia , vol.55 , Issue.7 , pp. 2375-2384
    • Minami, A.1    Onuki, A.2
  • 26
    • 7444229058 scopus 로고    scopus 로고
    • Macroscopic separation of dense fluid phase and liquid phase of phosphorus
    • DOI 10.1126/science.1102735
    • Y. Katayama, Y. Inamura, T. Mizutani, M. Yamakata, W. Utsumi, and O. Shimomura, Science SCIEAS 0036-8075 10.1126/science.1102735 306, 848 (2004). (Pubitemid 39451814)
    • (2004) Science , vol.306 , Issue.5697 , pp. 848-851
    • Katayama, Y.1    Inamura, Y.2    Mizutani, T.3    Yamakata, M.4    Utsumi, W.5    Shimomura, O.6
  • 29
    • 34249865612 scopus 로고    scopus 로고
    • Phase-ordering kinetics of the liquid-liquid transition in single-component molecular liquids
    • DOI 10.1063/1.2735625
    • R. Kurita and H. Tanaka, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.2735625 126, 204505 (2007). (Pubitemid 46872187)
    • (2007) Journal of Chemical Physics , vol.126 , Issue.20 , pp. 204505
    • Kurita, R.1    Tanaka, H.2
  • 30
    • 79961096039 scopus 로고    scopus 로고
    • B per molecule
    • B per molecule.
  • 33
    • 65649134849 scopus 로고    scopus 로고
    • EULEEJ 0295-5075 10.1209/0295-5075/84/36003
    • R. Teshigawara and A. Onuki, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/84/36003 84, 36003 (2008);
    • (2008) Europhys. Lett. , vol.84 , pp. 36003
    • Teshigawara, R.1    Onuki, A.2
  • 34
    • 77955648702 scopus 로고    scopus 로고
    • EULEEJ 1539-3755 10.1103/PhysRevE.82.021603
    • R. Teshigawara and A. Onuki, Phys. Rev. E EULEEJ 1539-3755 10.1103/PhysRevE.82.021603 82, 021603 (2010).
    • (2010) Phys. Rev. e , vol.82 , pp. 021603
    • Teshigawara, R.1    Onuki, A.2
  • 37
    • 79961065869 scopus 로고    scopus 로고
    • 3 should vanish (the compatibility condition). In our case, I is a constant of motion from Eqs., and in the linear order. Thus I=0 holds if it vanishes at t=0
    • 3 should vanish (the compatibility condition). In our case, I is a constant of motion from Eqs., and in the linear order. Thus I=0 holds if it vanishes at t=0.
  • 38
    • 79961053034 scopus 로고    scopus 로고
    • 0 is shifted by α
    • 0 is shifted by α.
  • 40
    • 79961092114 scopus 로고    scopus 로고
    • kTk*?=0 at small wave number k in accord with Eq.
    • kTk*?=0 at small wave number k in accord with Eq.
  • 41
    • 0000519708 scopus 로고    scopus 로고
    • The second gradient method for the direct numerical simulation of liquid-vapor flows with phase change
    • DOI 10.1006/jcph.2000.6692, PII S0021999100966920
    • D. Jamet, O. Lebaigue, N. Coutris, and J. M. Delhaye, J. Comput. Phys. JCTPAH 0021-9991 10.1006/jcph.2000.6692 169, 624 (2001); (Pubitemid 33665461)
    • (2001) Journal of Computational Physics , vol.169 , Issue.2 , pp. 624-651
    • Jamet, D.1    Lebaigue, O.2    Coutris, N.3    Delhaye, J.M.4
  • 43
    • 13644277992 scopus 로고    scopus 로고
    • Accurate representation of surface tension using the level contour reconstruction method
    • DOI 10.1016/j.jcp.2004.09.003, PII S0021999104003894
    • S. Shin, S. I. Abdel-Khalik, V. Daru, and D. Juric, J. Comput. Phys. JCTPAH 0021-9991 10.1016/j.jcp.2004.09.003 203, 493 (2005). (Pubitemid 40233514)
    • (2005) Journal of Computational Physics , vol.203 , Issue.2 , pp. 493-516
    • Shin, S.1    Abdel-Khalik, S.I.2    Daru, V.3    Juric, D.4
  • 44
    • 0030137571 scopus 로고    scopus 로고
    • Computation of three dimensional dendrites with finite elements
    • DOI 10.1006/jcph.1996.0095
    • A. Schmidt, J. Comput. Phys. JCTPAH 0021-9991 10.1006/jcph.1996.0095 125, 293 (1996); (Pubitemid 126162104)
    • (1996) Journal of Computational Physics , vol.125 , Issue.2 , pp. 293-312
    • Schmidt, A.1
  • 45
    • 0031547275 scopus 로고    scopus 로고
    • JCRGAE 0022-0248 10.1016/S0022-0248(96)01059-7
    • R. J. Braun and B. T. Murray, J. Cryst. Growth JCRGAE 0022-0248 10.1016/S0022-0248(96)01059-7 174, 41 (1997);
    • (1997) J. Cryst. Growth , vol.174 , pp. 41
    • Braun, R.J.1    Murray, B.T.2
  • 47
    • 25544433130 scopus 로고
    • PHYADX 0378-4371 10.1016/0378-4371(90)90198-2
    • A. Onuki and R. A. Ferrell, Physica A PHYADX 0378-4371 10.1016/0378-4371(90)90198-2 164, 245 (1990);
    • (1990) Physica A , vol.164 , pp. 245
    • Onuki, A.1    Ferrell, R.A.2
  • 48
    • 37649014175 scopus 로고    scopus 로고
    • PHYADX 1539-3755 10.1103/PhysRevE.76.061126
    • A. Onuki, Phys. Rev. E PHYADX 1539-3755 10.1103/PhysRevE.76.061126 76, 061126 (2007).
    • (2007) Phys. Rev. E , vol.76 , pp. 061126
    • Onuki, A.1
  • 50
    • 79961069830 scopus 로고    scopus 로고
    • 0 in the reference liquid
    • 0 in the reference liquid.
  • 51
    • 0018655311 scopus 로고
    • JFLSA7 0022-1120 10.1017/S0022112079001518
    • G. K. Batchelor, J. Fluid Mech. JFLSA7 0022-1120 10.1017/ S0022112079001518 95, 369 (1979).
    • (1979) J. Fluid Mech. , vol.95 , pp. 369
    • Batchelor, G.K.1
  • 52
    • 79961081802 scopus 로고    scopus 로고
  • 53
    • 46049098131 scopus 로고    scopus 로고
    • JFLSA7 1098-0121 10.1103/PhysRevB.77.224114
    • J. Berry, K. R. Elder, and M. Grant, Phys. Rev. B JFLSA7 1098-0121 10.1103/PhysRevB.77.224114 77, 224114 (2008);
    • (2008) Phys. Rev. B , vol.77 , pp. 224114
    • Berry, J.1    Elder, K.R.2    Grant, M.3
  • 54
    • 57349151507 scopus 로고    scopus 로고
    • JFLSA7 1098-0121 10.1103/PhysRevB.78.184110
    • J. Mellenthin, A. Karma, and M. Plapp, Phys. Rev. B JFLSA7 1098-0121 10.1103/PhysRevB.78.184110 78, 184110 (2008).
    • (2008) Phys. Rev. B , vol.78 , pp. 184110
    • Mellenthin, J.1    Karma, A.2    Plapp, M.3


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