메뉴 건너뛰기




Volumn 227, Issue 3, 2008, Pages 1772-1789

Simulation of free dendritic crystal growth in a gravity environment

Author keywords

Dendritic solidification; Fictitious domain method; Lagrange multiplier

Indexed keywords

HEAT CONVECTION; MESH GENERATION; PHASE INTERFACES; PHASE TRANSITIONS;

EID: 37249071751     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2007.09.025     Document Type: Article
Times cited : (46)

References (36)
  • 1
    • 0000994956 scopus 로고
    • Supercooling and dendritic freezing in alloys
    • Winegard W.C., and Chalmers B. Supercooling and dendritic freezing in alloys. Trans. ASM 46 (1954) 1214-1224
    • (1954) Trans. ASM , vol.46 , pp. 1214-1224
    • Winegard, W.C.1    Chalmers, B.2
  • 3
    • 33645996715 scopus 로고    scopus 로고
    • Phase-field simulation of the columnar-to-equiaxed transition in alloy solidification
    • Badillo A., and Beckermann C. Phase-field simulation of the columnar-to-equiaxed transition in alloy solidification. Acta Mater. 54 (2006) 2015-2026
    • (2006) Acta Mater. , vol.54 , pp. 2015-2026
    • Badillo, A.1    Beckermann, C.2
  • 4
    • 29444445320 scopus 로고    scopus 로고
    • Macrosegregation in steel strands and ingots: Characterisation, formation and consequences
    • Lesoult G. Macrosegregation in steel strands and ingots: Characterisation, formation and consequences. Mater. Sci. Eng. A 413 (2005) 19-29
    • (2005) Mater. Sci. Eng. A , vol.413 , pp. 19-29
    • Lesoult, G.1
  • 7
    • 25744454700 scopus 로고
    • Computation of dendrites using a phase field model
    • Wheeler A.A., Murray B.T., and Schaefer R.J. Computation of dendrites using a phase field model. Physica D 66 1-2 (1993) 243-262
    • (1993) Physica D , vol.66 , Issue.1-2 , pp. 243-262
    • Wheeler, A.A.1    Murray, B.T.2    Schaefer, R.J.3
  • 9
    • 0029633185 scopus 로고
    • Simulations of experimentally observed dendritic growth behavior using a phase-field model
    • Murray B.T., Wheeler A.A., and Glicksman M.E. Simulations of experimentally observed dendritic growth behavior using a phase-field model. J. Crystal Growth 154 3-4 (1995) 386-400
    • (1995) J. Crystal Growth , vol.154 , Issue.3-4 , pp. 386-400
    • Murray, B.T.1    Wheeler, A.A.2    Glicksman, M.E.3
  • 10
    • 4243457001 scopus 로고    scopus 로고
    • Quantitative phase-field modelling of dendritic growth in two and three dimensions
    • Karma A., and Rappel W.J. Quantitative phase-field modelling of dendritic growth in two and three dimensions. Phys. Rev. E 57 (1998) 4323-4349
    • (1998) Phys. Rev. E , vol.57 , pp. 4323-4349
    • Karma, A.1    Rappel, W.J.2
  • 11
    • 0002631224 scopus 로고    scopus 로고
    • A simple level set method for solving Stefan problem
    • Chen S., Merriman B., Osher S., and Smereka P. A simple level set method for solving Stefan problem. J. Comp. Phys. 135 1 (1997) 8-29
    • (1997) J. Comp. Phys. , vol.135 , Issue.1 , pp. 8-29
    • Chen, S.1    Merriman, B.2    Osher, S.3    Smereka, P.4
  • 12
    • 0034239346 scopus 로고    scopus 로고
    • Computation of dendritic microstructure using a level-set method
    • Kim I.-T., Provatas N., Goldenfeld N., and Dantzig J. Computation of dendritic microstructure using a level-set method. Phys. Rev. E 62 2 (2000) 2471-2474
    • (2000) Phys. Rev. E , vol.62 , Issue.2 , pp. 2471-2474
    • Kim, I.-T.1    Provatas, N.2    Goldenfeld, N.3    Dantzig, J.4
  • 13
    • 0042164092 scopus 로고    scopus 로고
    • A level set approach for the numerical simulation of dendritic growth
    • Gibou F., Fedkiw R., Caflisch R., and Osher S. A level set approach for the numerical simulation of dendritic growth. J. Sci. Compt. 19 (2003) 183-199
    • (2003) J. Sci. Compt. , vol.19 , pp. 183-199
    • Gibou, F.1    Fedkiw, R.2    Caflisch, R.3    Osher, S.4
  • 14
    • 0029684784 scopus 로고    scopus 로고
    • A front-tracking method for dendritic solidification
    • Juric D., and Tryggvason G. A front-tracking method for dendritic solidification. J. Comp. Phys. 123 (1996) 127-148
    • (1996) J. Comp. Phys. , vol.123 , pp. 127-148
    • Juric, D.1    Tryggvason, G.2
  • 15
    • 0035506176 scopus 로고    scopus 로고
    • Front-tracking finite element method for dendritic solidification
    • Zhao P., and Heinrich J.C. Front-tracking finite element method for dendritic solidification. J. Comp. Phys. 173 (2001) 765-796
    • (2001) J. Comp. Phys. , vol.173 , pp. 765-796
    • Zhao, P.1    Heinrich, J.C.2
  • 16
    • 0032288005 scopus 로고    scopus 로고
    • Phase-field simulation of dendritic growth in a shear flow
    • Tönhardt R., and Amberg G. Phase-field simulation of dendritic growth in a shear flow. J. Crystal Growth 194 (1998) 406
    • (1998) J. Crystal Growth , vol.194 , pp. 406
    • Tönhardt, R.1    Amberg, G.2
  • 18
    • 0037055751 scopus 로고    scopus 로고
    • Numerical simulation of dendritic solidification with convection: Two-dimensional geometry
    • Al-Rawahi N., and Tryggvason G. Numerical simulation of dendritic solidification with convection: Two-dimensional geometry. J. Comp. Phys. 180 2 (2002) 471-496
    • (2002) J. Comp. Phys. , vol.180 , Issue.2 , pp. 471-496
    • Al-Rawahi, N.1    Tryggvason, G.2
  • 19
    • 44749084234 scopus 로고    scopus 로고
    • Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
    • Osher S., and Sethian J.A. Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations. J. Comp. Phys. 79 (1998) 12-49
    • (1998) J. Comp. Phys. , vol.79 , pp. 12-49
    • Osher, S.1    Sethian, J.A.2
  • 20
    • 0032115296 scopus 로고    scopus 로고
    • A curvilinear level set formulation for highly deformable free surface problems with application to solidification
    • Zhang H., Zheng L.L., Prasad V., and Hou T.Y. A curvilinear level set formulation for highly deformable free surface problems with application to solidification. Numer. Heat Transf. B 43 (1998) 1-20
    • (1998) Numer. Heat Transf. B , vol.43 , pp. 1-20
    • Zhang, H.1    Zheng, L.L.2    Prasad, V.3    Hou, T.Y.4
  • 21
    • 0037050814 scopus 로고    scopus 로고
    • A second-order-accurate symmetric discretization of the poisson equation on irregular domains
    • Gibou F., Fedkiw R., Cheng LT., and Kang M. A second-order-accurate symmetric discretization of the poisson equation on irregular domains. J. Comp. Phys. 176 1 (2002) 205-227
    • (2002) J. Comp. Phys. , vol.176 , Issue.1 , pp. 205-227
    • Gibou, F.1    Fedkiw, R.2    Cheng, LT.3    Kang, M.4
  • 22
    • 10244220985 scopus 로고    scopus 로고
    • A fourth order accurate discretization for the laplace and heat equations on arbitrary domains, with applications to the Stefan problem
    • Gibou F., and Fedkiw R. A fourth order accurate discretization for the laplace and heat equations on arbitrary domains, with applications to the Stefan problem. J. Comp. Phys. 202 2 (2005) 577-601
    • (2005) J. Comp. Phys. , vol.202 , Issue.2 , pp. 577-601
    • Gibou, F.1    Fedkiw, R.2
  • 24
    • 1042288993 scopus 로고    scopus 로고
    • Semisharp phase field method for quantitative phase change simulations
    • 265505-1
    • Amberg G. Semisharp phase field method for quantitative phase change simulations. Phys. Rev. Lett. 91 26 (2003) 265505-1
    • (2003) Phys. Rev. Lett. , vol.91 , Issue.26
    • Amberg, G.1
  • 25
    • 0028333573 scopus 로고
    • A fictitious domain method for dirichlet problem and applications
    • Glowinski R., Pan T.W., and Periaux J. A fictitious domain method for dirichlet problem and applications. Compt. Method Appl. Mech. Eng. 111 (1994) 283-303
    • (1994) Compt. Method Appl. Mech. Eng. , vol.111 , pp. 283-303
    • Glowinski, R.1    Pan, T.W.2    Periaux, J.3
  • 26
    • 0001105507 scopus 로고    scopus 로고
    • A fictitious domain approach to the direct numerical simulation of incompressible viscous flow past moving rigid bodies: application to particulate flow
    • Glowinski R., Pan T.W., Hesla T.I., Joseph D.D., and Periaux J. A fictitious domain approach to the direct numerical simulation of incompressible viscous flow past moving rigid bodies: application to particulate flow. J. Comp. Phys. 169 (2001) 363-426
    • (2001) J. Comp. Phys. , vol.169 , pp. 363-426
    • Glowinski, R.1    Pan, T.W.2    Hesla, T.I.3    Joseph, D.D.4    Periaux, J.5
  • 27
    • 0034045490 scopus 로고    scopus 로고
    • A new formulation of the distributed lagrange multiplier/fictitious domain method for particulate flows
    • Patankar N.A., Singh P., Joseph D.D., Glowinski R., and Pan T.W. A new formulation of the distributed lagrange multiplier/fictitious domain method for particulate flows. Metall. Mater. Trans. B 26 (2000) 1509-1524
    • (2000) Metall. Mater. Trans. B , vol.26 , pp. 1509-1524
    • Patankar, N.A.1    Singh, P.2    Joseph, D.D.3    Glowinski, R.4    Pan, T.W.5
  • 29
    • 0030111555 scopus 로고    scopus 로고
    • Direct simulation of flows of solid-liquid mixtures
    • Hu H.H. Direct simulation of flows of solid-liquid mixtures. Int. J. Multiph. Flow 22 (1996) 335-352
    • (1996) Int. J. Multiph. Flow , vol.22 , pp. 335-352
    • Hu, H.H.1
  • 30
    • 0030219061 scopus 로고    scopus 로고
    • Simulation of multiple spheres falling in a liquid-filled tube
    • Johnson A., and Tzeduyar T. Simulation of multiple spheres falling in a liquid-filled tube. Compt. Method Appl. Mech. Eng. 134 (1996) 351-373
    • (1996) Compt. Method Appl. Mech. Eng. , vol.134 , pp. 351-373
    • Johnson, A.1    Tzeduyar, T.2
  • 31
    • 0031171755 scopus 로고    scopus 로고
    • 3d simulation of fluid-particle interactions with the number of particles reaching 100
    • Johnson A., and Tzeduyar T. 3d simulation of fluid-particle interactions with the number of particles reaching 100. Compt. Method Appl. Mech. Eng. 145 (1997) 301-321
    • (1997) Compt. Method Appl. Mech. Eng. , vol.145 , pp. 301-321
    • Johnson, A.1    Tzeduyar, T.2
  • 32
    • 44949275067 scopus 로고
    • Computation of macrosergretation in an iron-carbon cast
    • Amberg G. Computation of macrosergretation in an iron-carbon cast. Int. J. Heat Mass Transfer 34 1 (1991) 17-227
    • (1991) Int. J. Heat Mass Transfer , vol.34 , Issue.1 , pp. 17-227
    • Amberg, G.1
  • 33
    • 23944474928 scopus 로고    scopus 로고
    • A fast projection scheme for the direct numerical simulation of rigid particulate flow
    • Patankar N.A., and Sharma N. A fast projection scheme for the direct numerical simulation of rigid particulate flow. Commun. Numer. Meth. Eng. 21 (2005) 419-432
    • (2005) Commun. Numer. Meth. Eng. , vol.21 , pp. 419-432
    • Patankar, N.A.1    Sharma, N.2
  • 34
    • 0010972239 scopus 로고    scopus 로고
    • Finite element simulations using symbolic computing
    • Amberg G., Tönhardt R., and Winkler C. Finite element simulations using symbolic computing. Math. Comput. Simul. 49 (1999) 149-165
    • (1999) Math. Comput. Simul. , vol.49 , pp. 149-165
    • Amberg, G.1    Tönhardt, R.2    Winkler, C.3
  • 35
    • 34547291979 scopus 로고    scopus 로고
    • Parallel adaptive computation of some time-dependent materials-related microstructural problems
    • Do-Quang M., Villanueva W., Singer-Loginova I., and Amberg G. Parallel adaptive computation of some time-dependent materials-related microstructural problems. Bull. Polish Acad. Sci. 55 2 (2007) 229
    • (2007) Bull. Polish Acad. Sci. , vol.55 , Issue.2 , pp. 229
    • Do-Quang, M.1    Villanueva, W.2    Singer-Loginova, I.3    Amberg, G.4
  • 36
    • 0343825171 scopus 로고    scopus 로고
    • Dendritic growth of randomly oriented nuclei in a shear flow
    • Tönhardt R., and Amberg G. Dendritic growth of randomly oriented nuclei in a shear flow. J. Crystal Growth 213 1-2 (2000) 161-187
    • (2000) J. Crystal Growth , vol.213 , Issue.1-2 , pp. 161-187
    • Tönhardt, R.1    Amberg, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.