메뉴 건너뛰기




Volumn 49, Issue 3, 2005, Pages 233-266

Dendritic solidification of binary alloys with free and forced convection

Author keywords

Adaptive meshing; Convection; Dendritic solidification; Finite element; Interface tracking; Moving boundary

Indexed keywords

BOUNDARY CONDITIONS; COMPUTER SIMULATION; FINITE ELEMENT METHOD; FORCED CONVECTION; INCOMPRESSIBLE FLOW; MATHEMATICAL MODELS; NATURAL CONVECTION; NAVIER STOKES EQUATIONS; NUMERICAL METHODS; SOLIDIFICATION;

EID: 24944498387     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: 10.1002/fld.988     Document Type: Article
Times cited : (34)

References (53)
  • 2
    • 0002957037 scopus 로고
    • Convective heat transfer during dendritic growth
    • Zierep J, Oertel H (eds). Karlsruhe: Braun
    • Glicksman ME, Huang SC. Convective heat transfer during dendritic growth. In Convective Transport and Instability Phenomena, Zierep J, Oertel H (eds). Karlsruhe: Braun, 1982; 557.
    • (1982) Convective Transport and Instability Phenomena , pp. 557
    • Glicksman, M.E.1    Huang, S.C.2
  • 3
    • 0002988332 scopus 로고    scopus 로고
    • Effects of buoyancy on the growth of dendritic crystals
    • Tien CL (ed.). Begell House: New York
    • Lee YW, Smith RN, Clicksman ME, Koss MB. Effects of buoyancy on the growth of dendritic crystals. In Annual Review of Heat Transfer, vol. 7, Tien CL (ed.). Begell House: New York, 1996; 59.
    • (1996) Annual Review of Heat Transfer , vol.7 , pp. 59
    • Lee, Y.W.1    Smith, R.N.2    Clicksman, M.E.3    Koss, M.B.4
  • 4
    • 51249170597 scopus 로고
    • Macrosegregation during steady-state arrayed growth of dendrites in directionally solidified Pb-Sn alloys
    • Tewari SN, Shah R. Macrosegregation during steady-state arrayed growth of dendrites in directionally solidified Pb-Sn alloys. Metallurgical Transaction A 1992; 23A(12):3383-3392.
    • (1992) Metallurgical Transaction A , vol.23 A , Issue.12 , pp. 3383-3392
    • Tewari, S.N.1    Shah, R.2
  • 5
    • 0030142470 scopus 로고    scopus 로고
    • Macrosegregation during dendritic arrayed growth of hypoeutectic Pb-Sn alloys: Influence of primary arm spacing and mushy zone length
    • Tewari SN, Shah R. Macrosegregation during dendritic arrayed growth of hypoeutectic Pb-Sn alloys: Influence of primary arm spacing and mushy zone length. Metallurgical and Material Transactions A 1996; 27A(5): 1353-1362.
    • (1996) Metallurgical and Material Transactions A , vol.27 A , Issue.5 , pp. 1353-1362
    • Tewari, S.N.1    Shah, R.2
  • 6
    • 0038505458 scopus 로고    scopus 로고
    • Simulation of natural convection effects on succinonitrile crystals
    • Tönhardt R, Amberg G. Simulation of natural convection effects on succinonitrile crystals. Physical Review E 2000; 62:828-836.
    • (2000) Physical Review E , vol.62 , pp. 828-836
    • Tönhardt, R.1    Amberg, G.2
  • 7
    • 0032288005 scopus 로고    scopus 로고
    • Phase-field simulation of dendritic growth in a shear flow
    • Tönhardt R, Amberg G. Phase-field simulation of dendritic growth in a shear flow. Journal of Crystal Growth 1998; 194:406-425.
    • (1998) Journal of Crystal Growth , vol.194 , pp. 406-425
    • Tönhardt, R.1    Amberg, G.2
  • 8
    • 0343825171 scopus 로고    scopus 로고
    • Dendritic growth of randomly oriented nuclei in a shear flow
    • Tönhardt R, Amberg G. Dendritic growth of randomly oriented nuclei in a shear flow. Journal of Crystal Growth 2000; 213:161-187.
    • (2000) Journal of Crystal Growth , vol.213 , pp. 161-187
    • Tönhardt, R.1    Amberg, G.2
  • 10
    • 3342947407 scopus 로고    scopus 로고
    • Phase field simulation of dendritic crystal growth in a forced flow
    • Tong X, Beckermann C, Karma A, Li Q. Phase field simulation of dendritic crystal growth in a forced flow. Physical Review E 2000; 63 (1-16):061601.
    • (2000) Physical Review E , vol.63 , Issue.1-16 , pp. 061601
    • Tong, X.1    Beckermann, C.2    Karma, A.3    Li, Q.4
  • 11
    • 0037055751 scopus 로고    scopus 로고
    • Numerical simulation of dendritic solidification with convection: Two-dimensional geometry
    • Al-Rawahi N, Tryggvason G. Numerical simulation of dendritic solidification with convection: two-dimensional geometry, Journal of Computational Physics 2002; 180:471-496.
    • (2002) Journal of Computational Physics , vol.180 , pp. 471-496
    • Al-Rawahi, N.1    Tryggvason, G.2
  • 13
    • 0035473973 scopus 로고    scopus 로고
    • Phase field model for three-dimensional dendritic growth with fluid flow
    • Jeong JH, Goldenfeld N, Dantzig JA. Phase field model for three-dimensional dendritic growth with fluid flow. Physical Review E 2001; 64(1-14):041602.
    • (2001) Physical Review E , vol.64 , Issue.1-14 , pp. 041602
    • Jeong, J.H.1    Goldenfeld, N.2    Dantzig, J.A.3
  • 16
    • 1442331980 scopus 로고    scopus 로고
    • Numerical simulation of dendritic solidification with convection: Three-dimensional flow
    • Al-Rawahi N, Tryggvason G. Numerical simulation of dendritic solidification with convection: three-dimensional flow. Journal of Computational Physics 2004; 194:677-696.
    • (2004) Journal of Computational Physics , vol.194 , pp. 677-696
    • Al-Rawahi, N.1    Tryggvason, G.2
  • 17
    • 42749104456 scopus 로고    scopus 로고
    • Efficient phase field simulation of a binary dendritic growth in a forced flow
    • Lan CW, Shih JC. Efficient phase field simulation of a binary dendritic growth in a forced flow. Physical Review E 2004; 69 (1-10):031601.
    • (2004) Physical Review E , vol.69 , Issue.1-10 , pp. 031601
    • Lan, C.W.1    Shih, J.C.2
  • 18
    • 0002886452 scopus 로고    scopus 로고
    • Simulation of dendritic crystal growth with thermal convection
    • Bänsch E, Schmidt A. Simulation of dendritic crystal growth with thermal convection. Interfacial Free Boundaries 2000; 2: 95-115.
    • (2000) Interfacial Free Boundaries , vol.2 , pp. 95-115
    • Bänsch, E.1    Schmidt, A.2
  • 19
    • 0024069117 scopus 로고
    • Dendritic growth with thermal-convection
    • Ananth R, Gill WN. Dendritic growth with thermal-convection. Journal of Crystal Growth 1988; 91:587-598.
    • (1988) Journal of Crystal Growth , vol.91 , pp. 587-598
    • Ananth, R.1    Gill, W.N.2
  • 22
    • 42749099363 scopus 로고    scopus 로고
    • Advection flow effects in the growth of a free dendrite
    • Conti M. Advection flow effects in the growth of a free dendrite. Physical Review E 2004; 69(1-4):022601.
    • (2004) Physical Review E , vol.69 , Issue.1-4 , pp. 022601
    • Conti, M.1
  • 25
    • 0017424014 scopus 로고
    • Numerical analysis of blood flow in the heart
    • Peskin CS. Numerical analysis of blood flow in the heart. Journal of Computational Physics 1977; 25: 220-252.
    • (1977) Journal of Computational Physics , vol.25 , pp. 220-252
    • Peskin, C.S.1
  • 27
    • 0002515554 scopus 로고    scopus 로고
    • Combined immersed boundary finite-difference methods for three-dimensional complex flow simulations
    • Fadlun EA, Verzicco R, Orlandi P, Mohd-Yusof J. Combined immersed boundary finite-difference methods for three-dimensional complex flow simulations. Journal of Computational Physics 2000; 161: 35-60.
    • (2000) Journal of Computational Physics , vol.161 , pp. 35-60
    • Fadlun, E.A.1    Verzicco, R.2    Orlandi, P.3    Mohd-Yusof, J.4
  • 28
    • 0242362302 scopus 로고    scopus 로고
    • A general reconstruction algorithm for simulating flows with complex 3D immersed boundaries on Cartesian grids
    • Gilmanov A, Sotiropoulos F, Balaras E. A general reconstruction algorithm for simulating flows with complex 3D immersed boundaries on Cartesian grids. Journal of Computational Physics 2003; 191: 660-669.
    • (2003) Journal of Computational Physics , vol.191 , pp. 660-669
    • Gilmanov, A.1    Sotiropoulos, F.2    Balaras, E.3
  • 29
    • 0000084316 scopus 로고    scopus 로고
    • An accurate Cartesian grid method for viscous incompressible flows with complex immersed boundaries
    • Ye T, Mittal R, Udaykumar HS, Shyy W. An accurate Cartesian grid method for viscous incompressible flows with complex immersed boundaries. Journal of Computational Physics 1999; 156:209-240.
    • (1999) Journal of Computational Physics , vol.156 , pp. 209-240
    • Ye, T.1    Mittal, R.2    Udaykumar, H.S.3    Shyy, W.4
  • 30
    • 0035923845 scopus 로고    scopus 로고
    • A sharp interface Cartesian grid method for simulating flows with complex moving boundaries
    • Udaykumar HS, Mittal R, Rampunggoon P, Khanna A. A sharp interface Cartesian grid method for simulating flows with complex moving boundaries. Journal of Computational Physics 2001; 174: 345-380.
    • (2001) Journal of Computational Physics , vol.174 , pp. 345-380
    • Udaykumar, H.S.1    Mittal, R.2    Rampunggoon, P.3    Khanna, A.4
  • 31
    • 0020889799 scopus 로고
    • Finite element calculation of buoyancy-driven convection near a melt /solid phase boundary
    • Shih TM (ed.). Hemisphere: New York
    • Chang CJ, Brown RA. Finite element calculation of buoyancy-driven convection near a melt/solid phase boundary. In Numerical Properties and Methodologies in Heat Transfer, Shih TM (ed.). Hemisphere: New York, 1983; 283-304.
    • (1983) Numerical Properties and Methodologies in Heat Transfer , pp. 283-304
    • Chang, C.J.1    Brown, R.A.2
  • 32
    • 0023147378 scopus 로고
    • Numerical-solution of axisymmetrical, unsteady free-boundary problems at finite Reynolds-number. 1. Finite-difference scheme and its application to the deformation of a bubble in a uniaxial straining flow
    • Kang IS, Leal LG. Numerical-solution of axisymmetrical, unsteady free-boundary problems at finite Reynolds-number. 1. Finite-difference scheme and its application to the deformation of a bubble in a uniaxial straining flow. Physics of Fluids 1987; 30:1929-1940.
    • (1987) Physics of Fluids , vol.30 , pp. 1929-1940
    • Kang, I.S.1    Leal, L.G.2
  • 35
    • 0042121748 scopus 로고
    • Topics on finite element meshes for problems with moving boundaries
    • Morgan K, Oate E, Periaux J, Peraire J, Zienkiewicz OC (eds). CIMNE: Barcelona
    • Dari EA, Buscaglia G. Topics on finite element meshes for problems with moving boundaries. In Finite Elements in Fluids. New Trends and Applications, Part I, Morgan K, Oate E, Periaux J, Peraire J, Zienkiewicz OC (eds). CIMNE: Barcelona, 1993; 726-735.
    • (1993) Finite Elements in Fluids. New Trends and Applications , Issue.PART I , pp. 726-735
    • Dari, E.A.1    Buscaglia, G.2
  • 37
    • 0000945296 scopus 로고    scopus 로고
    • Adaptive mesh refinement computation of solidification microstructures using Dynamic data structure
    • Provatas N, Goldenfeld N, Dantzig J. Adaptive mesh refinement computation of solidification microstructures using Dynamic data structure. Journal of Computational Physics 1999; 148: 265-290.
    • (1999) Journal of Computational Physics , vol.148 , pp. 265-290
    • Provatas, N.1    Goldenfeld, N.2    Dantzig, J.3
  • 39
    • 0037141160 scopus 로고    scopus 로고
    • An adaptive finite volume method for incompressible heat flow problems in solidification
    • Lan CW, Liu CC, Hsu CM. An adaptive finite volume method for incompressible heat flow problems in solidification. Journal of Computational Physics 2002; 178:464-497.
    • (2002) Journal of Computational Physics , vol.178 , pp. 464-497
    • Lan, C.W.1    Liu, C.C.2    Hsu, C.M.3
  • 40
    • 0141459172 scopus 로고    scopus 로고
    • A Cartesian grid method for modeling multiple moving objects in 2D incompressible viscous flow
    • Russell D, Wang ZJ. A Cartesian grid method for modeling multiple moving objects in 2D incompressible viscous flow. Journal of Computational Physics 2003; 191:177-205.
    • (2003) Journal of Computational Physics , vol.191 , pp. 177-205
    • Russell, D.1    Wang, Z.J.2
  • 41
    • 24944456509 scopus 로고    scopus 로고
    • A high order immersed boundary method for unsteady incompressible flow calculations
    • Ph.D. Dissertation, The University of Arizona, Tucson, Arizon
    • Linnick MN. A high order immersed boundary method for unsteady incompressible flow calculations. Ph.D. Dissertation, The University of Arizona, Tucson, Arizon, 2003; 107.
    • (2003) , pp. 107
    • Linnick, M.N.1
  • 42
    • 0035506176 scopus 로고    scopus 로고
    • Front-tracking finite element method for dendritic solidification
    • Zhao P, Heinrich JC. Front-tracking finite element method for dendritic solidification. Journal of Computational Physics 2001; 173: 765-796.
    • (2001) Journal of Computational Physics , vol.173 , pp. 765-796
    • Zhao, P.1    Heinrich, J.C.2
  • 43
    • 0029185245 scopus 로고
    • On adaptivity for diffusion problems using triangular elements
    • Padra C, Vénere MJ. On adaptivity for diffusion problems using triangular elements. Engineering Computations 1995; 12:75-84.
    • (1995) Engineering Computations , vol.12 , pp. 75-84
    • Padra, C.1    Vénere, M.J.2
  • 44
    • 0030412313 scopus 로고    scopus 로고
    • Cost analysis of the longest-side refinement algorithm for triangulations
    • Rivara MC, Vénere MJ. Cost analysis of the longest-side refinement algorithm for triangulations. Engineering Computations 1996; 12:224-234.
    • (1996) Engineering Computations , vol.12 , pp. 224-234
    • Rivara, M.C.1    Vénere, M.J.2
  • 45
    • 0038704113 scopus 로고
    • A node replacement method for automatic mesh generation
    • Dari EA, Vénere MJ. A node replacement method for automatic mesh generation. Latin American Applied Research 1991; 21:275-282.
    • (1991) Latin American Applied Research , vol.21 , pp. 275-282
    • Dari, E.A.1    Vénere, M.J.2
  • 48
    • 0029684784 scopus 로고    scopus 로고
    • A front-tracking method for dendritic solidification
    • Juric D, Tryggvason G. A front-tracking method for dendritic solidification. Journal of Computational Physics 1996; 123: 127-148.
    • (1996) Journal of Computational Physics , vol.123 , pp. 127-148
    • Juric, D.1    Tryggvason, G.2
  • 50
    • 36849120852 scopus 로고
    • Stability of planar interface during solidification of dilute binary alloy
    • Mullins WW, Sekerka RF. Stability of planar interface during solidification of dilute binary alloy. Journal of Applied Physics 1964; 35:444-451.
    • (1964) Journal of Applied Physics , vol.35 , pp. 444-451
    • Mullins, W.W.1    Sekerka, R.F.2
  • 52
    • 0019025813 scopus 로고
    • A numerical study of steady viscous flow past a circular cylinder
    • Fornberg B. A numerical study of steady viscous flow past a circular cylinder. Journal of Fluid Mechanics 1980; 98:819-855.
    • (1980) Journal of Fluid Mechanics , vol.98 , pp. 819-855
    • Fornberg, B.1
  • 53
    • 0032051231 scopus 로고    scopus 로고
    • Low-Reynolds-number flow around an oscillating circular cylinder at low Keulegan-Carpenter numbers
    • Dütsch H, Durst F, Becker S, Lienhart H. Low-Reynolds-number flow around an oscillating circular cylinder at low Keulegan-Carpenter numbers. Journal of Fluid Mechanics 1998; 360:249-271.
    • (1998) Journal of Fluid Mechanics , vol.360 , pp. 249-271
    • Dütsch, H.1    Durst, F.2    Becker, S.3    Lienhart, H.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.