메뉴 건너뛰기




Volumn 55, Issue 2, 2007, Pages 229-237

Parallel adaptive computation of some time-dependent materials-related microstructural problems

Author keywords

Adaptive finite element method; Dendritic growth; Parallel computing; Wetting

Indexed keywords

COMPUTATIONAL COMPLEXITY; FINITE ELEMENT METHOD; INTERFACES (MATERIALS); PARALLEL PROCESSING SYSTEMS; WETTING;

EID: 34547291979     PISSN: 02397528     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (36)

References (45)
  • 1
    • 33745562760 scopus 로고
    • The thermodynamic theory of capillarity under the hypothesis of a continuous variation of density
    • J.D. Van der Waals. "The thermodynamic theory of capillarity under the hypothesis of a continuous variation of density", J. Statical Physics 20, 197-244 (1979).
    • (1979) J. Statical Physics , vol.20 , pp. 197-244
    • Van der Waals, J.D.1
  • 3
    • 33746012315 scopus 로고
    • Free energy of a nonuniform system. Interface free energy
    • J.W. Cahn and J.E. Hilliard. "Free energy of a nonuniform system. Interface free energy", J. Chemical Physics 58, 258 (1958).
    • (1958) J. Chemical Physics , vol.58 , pp. 258
    • Cahn, J.W.1    Hilliard, J.E.2
  • 4
    • 25744454700 scopus 로고
    • Computation of dendrites using a phase field model
    • A.A. Wheeler, B.T. Murray, and R.J. Schaefer, "Computation of dendrites using a phase field model", Physica D 66(1-2), 243-262 (1993).
    • (1993) Physica D , vol.66 , Issue.1-2 , pp. 243-262
    • Wheeler, A.A.1    Murray, B.T.2    Schaefer, R.J.3
  • 6
    • 0029633185 scopus 로고    scopus 로고
    • B.T. Murray, A.A. Wheeler, and M.E. Glicksman, Simulations of experimentally observed dendritic growth behavior using a phase-field model, J. Crystal Growth 154 (3-4), 386-400 (1995).
    • B.T. Murray, A.A. Wheeler, and M.E. Glicksman, Simulations of experimentally observed dendritic growth behavior using a phase-field model, J. Crystal Growth 154 (3-4), 386-400 (1995).
  • 7
    • 4243457001 scopus 로고    scopus 로고
    • Quantitative phase-field modelling of dendritic growth in two and three dimensions
    • A. Karma and W.J. Rappel, "Quantitative phase-field modelling of dendritic growth in two and three dimensions", Phys. Rev. E 57, 4323-4349 (1998).
    • (1998) Phys. Rev. E , vol.57 , pp. 4323-4349
    • Karma, A.1    Rappel, W.J.2
  • 8
    • 0031185285 scopus 로고    scopus 로고
    • A hybrid method for moving interface problems with application to the hele-shaw flow
    • T.Y. Hou, Z. Li, S. Osher, and P. Zhao, "A hybrid method for moving interface problems with application to the hele-shaw flow", J. Comp. Phys. 134(2), 236-247 (1997).
    • (1997) J. Comp. Phys , vol.134 , Issue.2 , pp. 236-247
    • Hou, T.Y.1    Li, Z.2    Osher, S.3    Zhao, P.4
  • 9
    • 0034239346 scopus 로고    scopus 로고
    • Computation of dendritic microstructure using a level-set method
    • I.-T. Kim, N. Provatas, N. Goldenfeld, and J. Dantzig, "Computation of dendritic microstructure using a level-set method", Phys. Rev. E 62(2), 2471-2474 (2000).
    • (2000) Phys. Rev. E , vol.62 , Issue.2 , pp. 2471-2474
    • Kim, I.-T.1    Provatas, N.2    Goldenfeld, N.3    Dantzig, J.4
  • 10
    • 0029684784 scopus 로고    scopus 로고
    • A front-tracking method for dendritic solidification
    • D. Juric and G. Tryggvason, "A front-tracking method for dendritic solidification", J. Comp. Phys. 123, 127-148 (1996).
    • (1996) J. Comp. Phys , vol.123 , pp. 127-148
    • Juric, D.1    Tryggvason, G.2
  • 11
    • 0035506176 scopus 로고    scopus 로고
    • Front-tracking ?nite element method for dendritic solidification
    • P. Zhao and J.C. Heinrich, "Front-tracking ?nite element method for dendritic solidification", J. Comp. Phys. 173, 765-796 (2001).
    • (2001) J. Comp. Phys , vol.173 , pp. 765-796
    • Zhao, P.1    Heinrich, J.C.2
  • 12
    • 0032288005 scopus 로고    scopus 로고
    • Phase-field simulation of dendritic growh in a shear flow
    • R. Tönhardt and G. Amberg, "Phase-field simulation of dendritic growh in a shear flow", J. Crystal Growth 194, 406 (1998).
    • (1998) J. Crystal Growth , vol.194 , pp. 406
    • Tönhardt, R.1    Amberg, G.2
  • 13
    • 0002500769 scopus 로고    scopus 로고
    • Modeling melt convection in phase-field simulations of solidification
    • C. Beckermann, H.J. Diepers, I. Steinbach, A. Karma, and X. Tong, "Modeling melt convection in phase-field simulations of solidification", J. Comp. Phys. 154, 468 (1999).
    • (1999) J. Comp. Phys , vol.154 , pp. 468
    • Beckermann, C.1    Diepers, H.J.2    Steinbach, I.3    Karma, A.4    Tong, X.5
  • 14
    • 0037055751 scopus 로고    scopus 로고
    • Numerical simulation of dendritic solidification with convection: Two-dimensional geometry
    • N. Al-Rawahi and G. Tryggvason, "Numerical simulation of dendritic solidification with convection: Two-dimensional geometry", J. Comp. Phys. 180(2), 471-496 (2002).
    • (2002) J. Comp. Phys , vol.180 , Issue.2 , pp. 471-496
    • Al-Rawahi, N.1    Tryggvason, G.2
  • 15
    • 44749084234 scopus 로고    scopus 로고
    • Fronts propagating with curvature-dependent speed: Algorithms based on hamilton-jacobi formulations
    • S. Osher and J.A. Sethian, "Fronts propagating with curvature-dependent speed: algorithms based on hamilton-jacobi formulations", J. Comp. Phys. 79, 12-49 (1998).
    • (1998) J. Comp. Phys , vol.79 , pp. 12-49
    • Osher, S.1    Sethian, J.A.2
  • 16
    • 0032115296 scopus 로고    scopus 로고
    • A curvilinear level set formulation for highly deformable free surface problems with application to solidification
    • H. Zhang, L.L. Zheng, V. Prasad, and T.Y. Hou, "A curvilinear level set formulation for highly deformable free surface problems with application to solidification", Numer. Heat Tr. B 43, 1-20 (1998).
    • (1998) Numer. Heat Tr. B , vol.43 , pp. 1-20
    • Zhang, H.1    Zheng, L.L.2    Prasad, V.3    Hou, T.Y.4
  • 17
    • 0042164092 scopus 로고    scopus 로고
    • A level set approach for the numerical simulation of dendritic growth
    • F. Gibou, R. Fedkiw, R. Caflisch, and S. Osher, "A level set approach for the numerical simulation of dendritic growth", J. Sci. Compt. 19, 183-199 (2002).
    • (2002) J. Sci. Compt , vol.19 , pp. 183-199
    • Gibou, F.1    Fedkiw, R.2    Caflisch, R.3    Osher, S.4
  • 21
    • 0034517250 scopus 로고    scopus 로고
    • Simple data management, scheduling and solution strategies for managing the irregularities in parallel adaptive hp fnite element simulations
    • A. Laszloffy, J. Long, and A. Patra, "Simple data management, scheduling and solution strategies for managing the irregularities in parallel adaptive hp fnite element simulations", Parallel Computing 26, 1765-1788 (2000).
    • (2000) Parallel Computing , vol.26 , pp. 1765-1788
    • Laszloffy, A.1    Long, J.2    Patra, A.3
  • 22
    • 0024923133 scopus 로고
    • Selective re'finement/derefinement algorithms for sequences of nested triangulations
    • M.C. Rivara, "Selective re'finement/derefinement algorithms for sequences of nested triangulations". Int. J. Numer. Meth. Eng. 28, 2889-2906 (1989).
    • (1989) Int. J. Numer. Meth. Eng , vol.28 , pp. 2889-2906
    • Rivara, M.C.1
  • 23
    • 0032131147 scopus 로고    scopus 로고
    • A fast and high quality multilevel scheme for partitioning irregular graphs
    • G. Karypis and V. Kumar, "A fast and high quality multilevel scheme for partitioning irregular graphs", SIAM J. Sci. Comput. 20(1), 359-392 (1998).
    • (1998) SIAM J. Sci. Comput , vol.20 , Issue.1 , pp. 359-392
    • Karypis, G.1    Kumar, V.2
  • 25
    • 0000592944 scopus 로고    scopus 로고
    • Shape- optimized mesh partitioning and load balancing for parallel adaptive fern
    • R. Diekmann, R. Preis, F. Schlimbach, and C.Walshaw, "Shape- optimized mesh partitioning and load balancing for parallel adaptive fern", Parallel Computing 26, 1555-1581 (2000).
    • (2000) Parallel Computing , vol.26 , pp. 1555-1581
    • Diekmann, R.1    Preis, R.2    Schlimbach, F.3    Walshaw, C.4
  • 26
    • 0034456293 scopus 로고    scopus 로고
    • Mesh partitioning: A multi-level balancing and refinement algorithm
    • C. Walshaw and M. Cross, "Mesh partitioning: a multi-level balancing and refinement algorithm", SIAM J. Sci. Comput. 22, 63-80 (2000).
    • (2000) SIAM J. Sci. Comput , vol.22 , pp. 63-80
    • Walshaw, C.1    Cross, M.2
  • 27
    • 34547250096 scopus 로고    scopus 로고
    • PhD thesis, Department of Computer Science, Brown University, Providence
    • J.G. Castanos, Parallel Adaptive Unstructured Computation. PhD thesis, Department of Computer Science, Brown University, Providence, 2000.
    • (2000) Parallel Adaptive Unstructured Computation
    • Castanos, J.G.1
  • 28
    • 0001481593 scopus 로고    scopus 로고
    • A comparison of some dynamic load-balancing algorithms for a parallel adaptive flow solver
    • N. Touheed, P. Selwood, P.K. Jimack, and M. Berzins, "A comparison of some dynamic load-balancing algorithms for a parallel adaptive flow solver", Parallel Computing 26, 1535-1554 (2000).
    • (2000) Parallel Computing , vol.26 , pp. 1535-1554
    • Touheed, N.1    Selwood, P.2    Jimack, P.K.3    Berzins, M.4
  • 29
    • 0000359662 scopus 로고    scopus 로고
    • Parallel tetrahedral mesh adaptation with dynamic load balancing
    • L. Oliker, R. Biswas, and H.N. Gabow, "Parallel tetrahedral mesh adaptation with dynamic load balancing", Parallel Computing 26, 1583-1608 (2000).
    • (2000) Parallel Computing , vol.26 , pp. 1583-1608
    • Oliker, L.1    Biswas, R.2    Gabow, H.N.3
  • 30
    • 0032678354 scopus 로고    scopus 로고
    • A class of data structures and object-oriented implementation for finite element methods on distributed memory systems
    • A. Bose and G.F. Carey, "A class of data structures and object-oriented implementation for finite element methods on distributed memory systems", Comput. Methods Appl. Mech. Eng. 171, 109-121 (1999).
    • (1999) Comput. Methods Appl. Mech. Eng , vol.171 , pp. 109-121
    • Bose, A.1    Carey, G.F.2
  • 31
    • 34547250869 scopus 로고    scopus 로고
    • A parallel, adaptive refinement scheme for tetrahedral and triangular grids
    • A. Stagg, J. Hallberg, and J. Schmidt, "A parallel, adaptive refinement scheme for tetrahedral and triangular grids", Lecture Notes in Computer Science, 512-518 (2000).
    • (2000) Lecture Notes in Computer Science , pp. 512-518
    • Stagg, A.1    Hallberg, J.2    Schmidt, J.3
  • 32
    • 0035473973 scopus 로고    scopus 로고
    • Phase field model for three dimensional dendritic growth with fluid flow
    • 64, 041602:1-14
    • J. Jeong, N. Goldenfeld, and A. Dantzig, "Phase field model for three dimensional dendritic growth with fluid flow", Physical Review E 64, 041602:1-14 (2001).
    • (2001) Physical Review E
    • Jeong, J.1    Goldenfeld, N.2    Dantzig, A.3
  • 33
    • 0036465590 scopus 로고    scopus 로고
    • An object-oriented approach for parallel two and three-dimensional adaptive finite element computations
    • Vol. 80317-328
    • R. Niekamp and E. Stein, "An object-oriented approach for parallel two and three-dimensional adaptive finite element computations", Computers and Structures 80317-328, (2002).
    • (2002) Computers and Structures
    • Niekamp, R.1    Stein, E.2
  • 34
    • 4143140968 scopus 로고    scopus 로고
    • Parallel adaptive refinement for unsteady flow calculations on 3d unstructured grids
    • J. Waltz, "Parallel adaptive refinement for unsteady flow calculations on 3d unstructured grids", Int. J. Numer. Meth. Fluids 46, 37-57 (2004).
    • (2004) Int. J. Numer. Meth. Fluids , vol.46 , pp. 37-57
    • Waltz, J.1
  • 35
    • 0010972239 scopus 로고    scopus 로고
    • Finite element simulations using symbolic computing
    • G. Amberg, R. Tönhardt, and C. Winkler, "Finite element simulations using symbolic computing", Math. and Comp. in Sim. 49, 257-274 (1999).
    • (1999) Math. and Comp. in Sim , vol.49 , pp. 257-274
    • Amberg, G.1    Tönhardt, R.2    Winkler, C.3
  • 37
    • 34547310293 scopus 로고    scopus 로고
    • http://www.cs.sandia.gov/crf/aztec1.html
  • 38
    • 34547284841 scopus 로고    scopus 로고
    • http://www.sgi.com/tech/stl
  • 39
    • 34547289655 scopus 로고    scopus 로고
    • Message Passing Interface Forum, MPI: A Message-Passing Interface Standard, 1994.
    • Message Passing Interface Forum, MPI: A Message-Passing Interface Standard, 1994.
  • 40
    • 1042288993 scopus 로고    scopus 로고
    • Semisharp phase field method for quantitative phase change simulations
    • G. Amberg, "Semisharp phase field method for quantitative phase change simulations", Phys. Rev. Lett. 91(26), 265505-265511 (2003).
    • (2003) Phys. Rev. Lett , vol.91 , Issue.26 , pp. 265505-265511
    • Amberg, G.1
  • 41
    • 33747810056 scopus 로고    scopus 로고
    • Some generic capillary-driven flows
    • W. Villanueva and G. Amberg, "Some generic capillary-driven flows", Int. J. Multiphase Flow 32, 1072-1086 (2006).
    • (2006) Int. J. Multiphase Flow , vol.32 , pp. 1072-1086
    • Villanueva, W.1    Amberg, G.2
  • 42
    • 0033909679 scopus 로고    scopus 로고
    • Contact-line dynamics of a diffuse fluid interface
    • D. Jacqmin, "Contact-line dynamics of a diffuse fluid interface", J. Fluid Mech. 402, 57-88 (2000).
    • (2000) J. Fluid Mech , vol.402 , pp. 57-88
    • Jacqmin, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.