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Volumn 35, Issue , 2003, Pages 341-372

Level set methods for fluid interfaces

Author keywords

Ink jet design; Material interfaces

Indexed keywords

COMPRESSIBLE FLOW; COMPUTATIONAL METHODS; FINITE DIFFERENCE METHOD; HYDRODYNAMICS; PARTIAL DIFFERENTIAL EQUATIONS; TWO PHASE FLOW;

EID: 0242276905     PISSN: 00664189     EISSN: None     Source Type: Book Series    
DOI: 10.1146/annurev.fluid.35.101101.161105     Document Type: Article
Times cited : (890)

References (126)
  • 1
    • 0001664339 scopus 로고    scopus 로고
    • Computation of compressible multifluids
    • Abgrall R, Karni S. 2001a. Computation of compressible multifluids. J. Comput. Phys. 169:594-623
    • (2001) J. Comput. Phys. , vol.169 , pp. 594-623
    • Abgrall, R.1    Karni, S.2
  • 3
    • 28144437204 scopus 로고
    • A fast level set method for propagating interfaces
    • Adalsteinsson D, Sethian JA. 1995a. A fast level set method for propagating interfaces. J. Comput. Phys. 118:269-77
    • (1995) J. Comput. Phys. , vol.118 , pp. 269-277
    • Adalsteinsson, D.1    Sethian, J.A.2
  • 4
    • 0000020691 scopus 로고
    • A unified level set approach to etching, deposition and lithography I: Algorithms and two-dimensional simulation
    • Adalsteinsson D, Sethian JA. 1995b. A unified level set approach to etching, deposition and lithography I: algorithms and two-dimensional simulation. J. Comput. Phys. 120:128-44
    • (1995) J. Comput. Phys. , vol.120 , pp. 128-144
    • Adalsteinsson, D.1    Sethian, J.A.2
  • 5
    • 0001163571 scopus 로고
    • A unified level set approach to etching, deposition and lithography II: Three-dimensional simulations
    • Adalsteinsson D, Sethian JA. 1995c. A unified level set approach to etching, deposition and lithography II: three-dimensional simulations. J. Comput. Phys. 122:348-66
    • (1995) J. Comput. Phys. , vol.122 , pp. 348-366
    • Adalsteinsson, D.1    Sethian, J.A.2
  • 6
    • 0038873881 scopus 로고    scopus 로고
    • A unified level set approach to etching, deposition and lithography III: Complex simulations and multiple effects
    • Adalsteinsson D, Sethian JA. 1997. A unified level set approach to etching, deposition and lithography III: Complex simulations and multiple effects. J. Comput. Phys. 138:193-223
    • (1997) J. Comput. Phys. , vol.138 , pp. 193-223
    • Adalsteinsson, D.1    Sethian, J.A.2
  • 7
    • 0002108952 scopus 로고    scopus 로고
    • The fast construction of extension velocities in level set methods
    • Adalsteinsson D, Sethian JA. 1999. The fast construction of extension velocities in level set methods. J. Comput. Phys. 148:2-22
    • (1999) J. Comput. Phys. , vol.148 , pp. 2-22
    • Adalsteinsson, D.1    Sethian, J.A.2
  • 9
    • 0008688174 scopus 로고    scopus 로고
    • A conservative adaptive projection method for the variable density incompressible Navier-Stokes equations
    • Almgren AS, Bell JB, Colella P, Howell L, Welcome M. 1998. A conservative adaptive projection method for the variable density incompressible Navier-Stokes equations. J. Comput. Phys. 142:1-46
    • (1998) J. Comput. Phys. , vol.142 , pp. 1-46
    • Almgren, A.S.1    Bell, J.B.2    Colella, P.3    Howell, L.4    Welcome, M.5
  • 10
    • 0000310338 scopus 로고    scopus 로고
    • A numerical method for the incompressible Navier-Stokes equations based on an approximate projection
    • Almgren AS, Bell JB, Szymczak WB. 1996. A numerical method for the incompressible Navier-Stokes equations based on an approximate projection. SIAM J. Sci. Comput. 17:358-69
    • (1996) SIAM J. Sci. Comput. , vol.17 , pp. 358-369
    • Almgren, A.S.1    Bell, J.B.2    Szymczak, W.B.3
  • 12
    • 0001688094 scopus 로고    scopus 로고
    • Multiscale modeling of thin-film deposition: Applications to Si device processing
    • Baumann FH, Chopp DL, de la Rubia TD, Gilmer GH, Greene JE, et al. 2001. Multiscale modeling of thin-film deposition: applications to Si device processing MRS Bull. 26:182-89
    • (2001) MRS Bull. , vol.26 , pp. 182-189
    • Baumann, F.H.1    Chopp, D.L.2    de la Rubia, T.D.3    Gilmer, G.H.4    Greene, J.E.5
  • 13
    • 0028519481 scopus 로고
    • A projection method for viscous incompressible flow on quadrilateral grids
    • Bell JB, Szymczak WG. 1994. A projection method for viscous incompressible flow on quadrilateral grids. AIAA J. 32:1961-69
    • (1994) AIAA J. , vol.32 , pp. 1961-1969
    • Bell, J.B.1    Szymczak, W.G.2
  • 14
    • 0001608079 scopus 로고
    • A second-order projection method for incompressible Navier-Stokes equations
    • Bell JB, Colella P, Glaz HM. 1989. A second-order projection method for incompressible Navier-Stokes equations. J. Comput. Phys. 85:257-83
    • (1989) J. Comput. Phys. , vol.85 , pp. 257-283
    • Bell, J.B.1    Colella, P.2    Glaz, H.M.3
  • 15
    • 0001373981 scopus 로고
    • A second-order projection method for variable density flows
    • Bell JB, Marcus DL. 1992. A second-order projection method for variable density flows. J. Comput. Phys. 101:334-48
    • (1992) J. Comput. Phys. , vol.101 , pp. 334-348
    • Bell, J.B.1    Marcus, D.L.2
  • 16
    • 0000019424 scopus 로고    scopus 로고
    • The mathematics of moving contact lines in thin liquid films
    • June/July
    • Bertozzi A. 1998. The mathematics of moving contact lines in thin liquid films. Not. Am. Math. Soc. June/July:689
    • (1998) Not. Am. Math. Soc. , pp. 689
    • Bertozzi, A.1
  • 17
    • 0012113535 scopus 로고
    • A coupled level-set volume-of-fluid for tracking material interfaces
    • Lake Tahoe
    • Bourlioux A. 1995. A coupled level-set volume-of-fluid for tracking material interfaces. In Proc. Int. Symp. Comput. Fluid Dyn., 6th, Lake Tahoe, pp. 15-25
    • (1995) Proc. Int. Symp. Comput. Fluid Dyn., 6th , pp. 15-25
    • Bourlioux, A.1
  • 18
  • 19
    • 0000275077 scopus 로고    scopus 로고
    • Motion of curves in three spatial dimensions using a level-set approach
    • Burchard P, Cheng LT, Merriman B, Osher S. 2001. Motion of curves in three spatial dimensions using a level-set approach. J. Comput. Phys. 170:720-41
    • (2001) J. Comput. Phys. , vol.170 , pp. 720-741
    • Burchard, P.1    Cheng, L.T.2    Merriman, B.3    Osher, S.4
  • 21
    • 0001946968 scopus 로고    scopus 로고
    • A numerical method for two phase flow consisting of separate compressible and incompressible regions
    • Caiden R, Fedkiw R, Anderson C. 2001. A numerical method for two phase flow consisting of separate compressible and incompressible regions. J. Comput. Phys. 166:1-27
    • (2001) J. Comput. Phys. , vol.166 , pp. 1-27
    • Caiden, R.1    Fedkiw, R.2    Anderson, C.3
  • 22
    • 0030584607 scopus 로고    scopus 로고
    • A level set formulation of Eulerian interface capturing methods for incompressible fluid flows
    • Chang YC, Hou TY, Merriman B, Osher SJ. 1996. A level set formulation of Eulerian interface capturing methods for incompressible fluid flows. J. Comput. Phys. 124:449-64
    • (1996) J. Comput. Phys. , vol.124 , pp. 449-464
    • Chang, Y.C.1    Hou, T.Y.2    Merriman, B.3    Osher, S.J.4
  • 24
  • 26
    • 0002875807 scopus 로고
    • Computing minimal surfaces via level set curvature flow
    • Chopp DL. 1993. Computing minimal surfaces via level set curvature flow. J. Comput. Phys. 106:77-91
    • (1993) J. Comput. Phys. , vol.106 , pp. 77-91
    • Chopp, D.L.1
  • 27
    • 0007865551 scopus 로고    scopus 로고
    • A level-set method for simulating island coarsening
    • Chopp DL. 2000. A level-set method for simulating island coarsening. J. Comput. Phys. 162:104-22
    • (2000) J. Comput. Phys. , vol.162 , pp. 104-122
    • Chopp, D.L.1
  • 28
    • 0036210688 scopus 로고    scopus 로고
    • Some improvements of the fast marching method
    • Chopp DL. 2001. Some improvements of the fast marching method. SIAM J. Sci. Comput. 23:230-44
    • (2001) SIAM J. Sci. Comput. , vol.23 , pp. 230-244
    • Chopp, D.L.1
  • 29
    • 0005091671 scopus 로고    scopus 로고
    • Motion by intrinsic Laplacian of curvature
    • Chopp DL, Sethian JA. 1999. Motion by intrinsic Laplacian of curvature. Interfaces Free Bound. 1:107-23
    • (1999) Interfaces Free Bound. , vol.1 , pp. 107-123
    • Chopp, D.L.1    Sethian, J.A.2
  • 30
    • 84968510911 scopus 로고
    • Numerical solution of the Navier-Stokes equations
    • Chorin AJ. 1968. Numerical solution of the Navier-Stokes equations. Math. Comput. 22: 745-62
    • (1968) Math. Comput. , vol.22 , pp. 745-762
    • Chorin, A.J.1
  • 31
    • 84968483581 scopus 로고
    • On convergence of discrete approximations to Navier-Stokes equations
    • Chorin AJ. 1969. On convergence of discrete approximations to Navier-Stokes equations. Math. Comput. 23:341-53
    • (1969) Math. Comput. , vol.23 , pp. 341-353
    • Chorin, A.J.1
  • 32
    • 0000480805 scopus 로고
    • A direct Eulerian MUSCL scheme for gas dynamics
    • Colella P. 1985. A direct Eulerian MUSCL scheme for gas dynamics. SIAM J. Sci. Stat. Comput. 6:104-17
    • (1985) SIAM J. Sci. Stat. Comput. , vol.6 , pp. 104-117
    • Colella, P.1
  • 33
    • 26844455510 scopus 로고
    • A multidimensional second-order Godunov scheme for conservation laws
    • Colella P. 1990. A multidimensional second-order Godunov scheme for conservation laws. J. Comput. Phys. 87:171-200
    • (1990) J. Comput. Phys. , vol.87 , pp. 171-200
    • Colella, P.1
  • 34
  • 35
    • 84966245867 scopus 로고
    • Two approximations of solutions of Hamilton-Jacobi equations
    • Crandall MG, Lions PL. 1984. Two approximations of solutions of Hamilton-Jacobi equations. Math. Comput. 167:1-19
    • (1984) Math. Comput. , vol.167 , pp. 1-19
    • Crandall, M.G.1    Lions, P.L.2
  • 37
    • 0347407706 scopus 로고    scopus 로고
    • The ghost fluid method for discontinuities and interfaces
    • ed. EF Toro, New York: Kluwer
    • Fedkiw R. 2001. The ghost fluid method for discontinuities and interfaces. In Godunov Methods, ed. EF Toro, pp. 309-17. New York: Kluwer
    • (2001) Godunov Methods , pp. 309-317
    • Fedkiw, R.1
  • 38
    • 0346837922 scopus 로고    scopus 로고
    • A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method)
    • Fedkiw RP, Aslam T, Merriman B, Osher SJ. 1999a. A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method). J. Comput. Phys. 152:457-92
    • (1999) J. Comput. Phys. , vol.152 , pp. 457-492
    • Fedkiw, R.P.1    Aslam, T.2    Merriman, B.3    Osher, S.J.4
  • 39
    • 0000625475 scopus 로고    scopus 로고
    • The ghost fluid method for deflagration and detonation discontinuities
    • Fedkiw RP, Aslam T, Xu SJ. 1999b. The ghost fluid method for deflagration and detonation discontinuities. J. Comput. Phys. 154:393-427
    • (1999) J. Comput. Phys. , vol.154 , pp. 393-427
    • Fedkiw, R.P.1    Aslam, T.2    Xu, S.J.3
  • 40
    • 0002378338 scopus 로고
    • On the kinematic theory of crystal growth and dissolution process
    • ed. RH Doremus, BW Roberts, D Turnbull. New York: Wiley
    • Frank FC. 1958. On the kinematic theory of crystal growth and dissolution process. In Growth and Perfection of Crystals, ed. RH Doremus, BW Roberts, D Turnbull. New York: Wiley
    • (1958) Growth and Perfection of Crystals
    • Frank, F.C.1
  • 41
    • 0037050814 scopus 로고    scopus 로고
    • A second-order accurate symmetric discretization of the Poisson equation onirregular domains
    • Gibou F, Fedkiw R, Cheng LT, Kang M. 2002. A second-order accurate symmetric discretization of the Poisson equation onirregular domains. J. Comput. Phys. 176:205-27
    • (2002) J. Comput. Phys. , vol.176 , pp. 205-227
    • Gibou, F.1    Fedkiw, R.2    Cheng, L.T.3    Kang, M.4
  • 44
    • 0019392895 scopus 로고
    • A numerical-method for 2 phase flow with an unstable interface
    • Glimm J, Marchesin D, McBryan O. 1981. A numerical-method for 2 phase flow with an unstable interface J. Comput. Phys. 39:179-200
    • (1981) J. Comput. Phys. , vol.39 , pp. 179-200
    • Glimm, J.1    Marchesin, D.2    McBryan, O.3
  • 45
    • 0035807910 scopus 로고    scopus 로고
    • Conservative front tracking and level set algorithms
    • Glimm J, Xiao LL, Liu Y, Zhao N. 2001. Conservative front tracking and level set algorithms. Proc. Natl. Acad. Sci. 98:14198-201
    • (2001) Proc. Natl. Acad. Sci. , vol.98 , pp. 14198-14201
    • Glimm, J.1    Xiao, L.L.2    Liu, Y.3    Zhao, N.4
  • 46
    • 33749190078 scopus 로고
    • Numerical calculation of time-dependent viscous incompressible flow of fluids with free surfaces
    • Harlow F, Welch J. 1965. Numerical calculation of time-dependent viscous incompressible flow of fluids with free surfaces. Phys. Fluid 8:2182-89
    • (1965) Phys. Fluid , vol.8 , pp. 2182-2189
    • Harlow, F.1    Welch, J.2
  • 47
    • 33749725182 scopus 로고
    • Uniformly high-order accurate essentially non-oscillatory schemes III
    • Harten A, Engquist B, Osher S, Chakravarthy S. 1987. Uniformly high-order accurate essentially non-oscillatory schemes III. J. Comput. Phys. 71:231-303
    • (1987) J. Comput. Phys. , vol.71 , pp. 231-303
    • Harten, A.1    Engquist, B.2    Osher, S.3    Chakravarthy, S.4
  • 48
    • 0023329384 scopus 로고
    • Uniformly high-order accurate non-oscillatory schemes I
    • Harten A, Osher SJ. 1987. Uniformly high-order accurate non-oscillatory schemes I. SIAM J. Numer. Anal. 24:279-303
    • (1987) SIAM J. Numer. Anal. , vol.24 , pp. 279-303
    • Harten, A.1    Osher, S.J.2
  • 50
    • 0031185285 scopus 로고    scopus 로고
    • A hybrid method for moving interface problems with application to the Hele-Shaw flow
    • Hou TY, Li ZL, Osher S, Zhao HK. 1997. A hybrid method for moving interface problems with application to the Hele-Shaw flow. J. Comput. Phys. 134:236-52
    • (1997) J. Comput. Phys. , vol.134 , pp. 236-252
    • Hou, T.Y.1    Li, Z.L.2    Osher, S.3    Zhao, H.K.4
  • 51
    • 0037143079 scopus 로고    scopus 로고
    • A hybrid extended finite element/level set method for modeling phase transitions
    • Ji H, Chopp DL, Dolbow JE. 2002. A hybrid extended finite element/level set method for modeling phase transitions. Int. J. Numer. Methods Eng. 54:1209-33
    • (2002) Int. J. Numer. Methods Eng. , vol.54 , pp. 1209-1233
    • Ji, H.1    Chopp, D.L.2    Dolbow, J.E.3
  • 52
    • 0034260316 scopus 로고    scopus 로고
    • A boundary condition capturing method for multiphase incompressible flow
    • Kang M, Fedkiw R, Liu LD. 2000. A boundary condition capturing method for multiphase incompressible flow. J. Sci. Comput. 15:323-60
    • (2000) J. Sci. Comput. , vol.15 , pp. 323-360
    • Kang, M.1    Fedkiw, R.2    Liu, L.D.3
  • 53
    • 4243457001 scopus 로고    scopus 로고
    • Quantitative phase-field modeling of dendritic growth in two and three dimensions
    • Karma A, Rappel WJ. 1998. Quantitative phase-field modeling of dendritic growth in two and three dimensions. Phys. Rev. E 57:4323-49
    • (1998) Phys. Rev. E , vol.57 , pp. 4323-4349
    • Karma, A.1    Rappel, W.J.2
  • 54
    • 0002443628 scopus 로고
    • Multi-component flow calculations by a consistent primitive algorithm
    • Karni S. 1994. Multi-component flow calculations by a consistent primitive algorithm. J. Comput. Phys. 112:31-43
    • (1994) J. Comput. Phys. , vol.112 , pp. 31-43
    • Karni, S.1
  • 55
    • 0042492238 scopus 로고    scopus 로고
    • Hybrid multifluid algorithms
    • Karni S. 1996. Hybrid multifluid algorithms. SIAM J. Sci. Comput. 17:1019-39
    • (1996) SIAM J. Sci. Comput. , vol.17 , pp. 1019-1039
    • Karni, S.1
  • 56
    • 46549092989 scopus 로고
    • Application of a fractional-step method to incompressible Navier-Stokes equations
    • Kim J, Moin P, 1985. Application of a fractional-step method to incompressible Navier-Stokes equations. J. Comput. Phys. 59:308-323
    • (1985) J. Comput. Phys. , vol.59 , pp. 308-323
    • Kim, J.1    Moin, P.2
  • 57
    • 0034239346 scopus 로고    scopus 로고
    • Computation of dendritic microstructures using a level set method
    • Kim YT, Goldenfeld N, Dantzig J. 2000. Computation of dendritic microstructures using a level set method. Phys. Rev. E 62:2471-74
    • (2000) Phys. Rev. E , vol.62 , pp. 2471-2474
    • Kim, Y.T.1    Goldenfeld, N.2    Dantzig, J.3
  • 58
    • 0032555230 scopus 로고    scopus 로고
    • Fast marching methods on triangulated domains
    • Kimmel R, Sethian JA. 1998. Fast marching methods on triangulated domains. Proc. Natl. Acad. Sci. 95:8431-35
    • (1998) Proc. Natl. Acad. Sci. , vol.95 , pp. 8431-8435
    • Kimmel, R.1    Sethian, J.A.2
  • 60
    • 0030075590 scopus 로고    scopus 로고
    • 2-dimensional front tracking based on high-resolution wave propagation methods
    • LeVeque RJ, Shyu KM. 1996. 2-dimensional front tracking based on high-resolution wave propagation methods. SIAM J. Comput. Phys. 128:354-77
    • (1996) SIAM J. Comput. Phys. , vol.128 , pp. 354-377
    • LeVeque, R.J.1    Shyu, K.M.2
  • 62
    • 0001491689 scopus 로고    scopus 로고
    • A boundary condition capturing method for Poisson's equation on irregular domains
    • Liu XD, Fedkiw R, Kang M. 2000. A boundary condition capturing method for Poisson's equation on irregular domains. J. Comput. Phys. 160:151-78
    • (2000) J. Comput. Phys. , vol.160 , pp. 151-178
    • Liu, X.D.1    Fedkiw, R.2    Kang, M.3
  • 63
    • 0041152882 scopus 로고    scopus 로고
    • Quasi-incompressible Cahn-Hilliard fluids and topological transitions
    • Lowengrub J, Truskinovsky L. 1998. Quasi-incompressible Cahn-Hilliard fluids and topological transitions. Proc. R. Soc. London Ser. A 454:2617-54
    • (1998) Proc. R. Soc. London Ser. A , vol.454 , pp. 2617-2654
    • Lowengrub, J.1    Truskinovsky, L.2
  • 65
    • 0001381571 scopus 로고
    • The rapid evaluation of volume integrals of potential theory on general regions
    • Mayo A. 1992. The rapid evaluation of volume integrals of potential theory on general regions. J. Comput. Phys. 100:236-45
    • (1992) J. Comput. Phys. , vol.100 , pp. 236-245
    • Mayo, A.1
  • 66
    • 0000300747 scopus 로고
    • Motion of multiple juntions: A level set approach
    • Merriman B, Bence J, Osher SJ. 1994. Motion of multiple juntions: a level set approach. J. Comput. Phys. 112:334-63
    • (1994) J. Comput. Phys. , vol.112 , pp. 334-363
    • Merriman, B.1    Bence, J.2    Osher, S.J.3
  • 67
    • 0000930479 scopus 로고
    • Computing interfaces in compressible gas dynamics
    • Mulder W, Osher SJ, Sethian JA. 1992. Computing interfaces in compressible gas dynamics. J. Comput. Phys. 100:209-28
    • (1992) J. Comput. Phys. , vol.100 , pp. 209-228
    • Mulder, W.1    Osher, S.J.2    Sethian, J.A.3
  • 68
    • 0000653947 scopus 로고    scopus 로고
    • Level set methods: An overview and some recent results
    • Osher SJ, Fedkiw Rp. 2001. Level set methods: an overview and some recent results. J. Comput. Phys. 169:463-502
    • (2001) J. Comput. Phys. , vol.169 , pp. 463-502
    • Osher, S.J.1    Fedkiw, R.P.2
  • 69
    • 0001011924 scopus 로고    scopus 로고
    • The Wulff shape as the asymptotic limit of a growing crystalline interface
    • Osher SJ, Merriman B.1997. The Wulff shape as the asymptotic limit of a growing crystalline interface. Asian J. Math. 1:560-71
    • (1997) Asian J. Math. , vol.1 , pp. 560-571
    • Osher, S.J.1    Merriman, B.2
  • 70
    • 44749084234 scopus 로고
    • Fronts propagating with curvature dependent speed: Algorithms based on Hamilton-Jacobi formulations
    • Osher SJ, Sethian JA. 1988. Fronts propagating with curvature dependent speed: algorithms based on Hamilton-Jacobi formulations. J. Comput. Phys. 79:12-49
    • (1988) J. Comput. Phys. , vol.79 , pp. 12-49
    • Osher, S.J.1    Sethian, J.A.2
  • 71
    • 0026204106 scopus 로고
    • High-rder essentially nonoscillatory schemes for Hamilton-Jacobi equations
    • Osher SJ, Shu CW. 1991. High-rder essentially nonoscillatory schemes for Hamilton-Jacobi equations. SIAM J. Numer. Anal. 28:907-22
    • (1991) SIAM J. Numer. Anal. , vol.28 , pp. 907-922
    • Osher, S.J.1    Shu, C.W.2
  • 72
    • 0032669845 scopus 로고    scopus 로고
    • Simulation of faceted film growth in two-dimension: Microstructure morphology, and texture
    • Paritosh DJ. Srolovitz DJ. Battaile CC, Li X, Butler JE. 1999. Simulation of faceted film growth in two-dimension: microstructure morphology, and texture. Acta Mater. 47: 2269-81
    • (1999) Acta Mater. , vol.47 , pp. 2269-2281
    • Paritosh, D.J.1    Srolovitz, D.J.2    Battaile, C.C.3    Li, X.4    Butler, J.E.5
  • 74
    • 0000418891 scopus 로고    scopus 로고
    • The geometry of Wulff crystal shapes and its relations with Riemann problems
    • Peng D. Osher SJ, Merriman B, Zhao HK. 1999b. The geometry of Wulff crystal shapes and its relations with Riemann problems. Contemp. Math. 238:251-303
    • (1999) Contemp. Math. , vol.238 , pp. 251-303
    • Peng, D.1    Osher, S.J.2    Merriman, B.3    Zhao, H.K.4
  • 75
    • 0017424014 scopus 로고
    • Numerical analysis of blood flow in the heart
    • Peskin CS. 1977. Numerical analysis of blood flow in the heart. J. Comput. Phys. 25:220-52
    • (1977) J. Comput. Phys. , vol.25 , pp. 220-252
    • Peskin, C.S.1
  • 76
    • 0031568182 scopus 로고    scopus 로고
    • A high-order projection method for tracking fluid interfaces in variable density incompressible flows
    • Puckett EG, Almgren AS. Bell JB, Marcus DL, Rider WJ. 1997. A high-order projection method for tracking fluid interfaces in variable density incompressible flows. J. Comput. Phys. 130:269-82
    • (1997) J. Comput. Phys. , vol.130 , pp. 269-282
    • Puckett, E.G.1    Almgren, A.S.2    Bell, J.B.3    Marcus, D.L.4    Rider, W.J.5
  • 77
    • 0030184154 scopus 로고    scopus 로고
    • On the dynamics of a shock-bubble interaction
    • Quirk J, Karni S. 1996. On the dynamics of a shock-bubble interaction. J. Fluid Mech. 318:129-63
    • (1996) J. Fluid Mech. , vol.318 , pp. 129-163
    • Quirk, J.1    Karni, S.2
  • 78
  • 79
    • 0034497398 scopus 로고    scopus 로고
    • A level set method for the evolution of faceted intefaces
    • Russo G, Smereka P.2000a. A level set method for the evolution of faceted intefaces. SIAM J. Sci. Comput. 6:2073-95
    • (2000) SIAM J. Sci. Comput. , vol.6 , pp. 2073-2095
    • Russo, G.1    Smereka, P.2
  • 80
    • 0002428007 scopus 로고    scopus 로고
    • A remark o computing distance functions
    • Russo G, Smereka P. 2000b. A remark o computing distance functions. J. Comput. Phys. 163:51-67
    • (2000) J. Comput. Phys. , vol.163 , pp. 51-67
    • Russo, G.1    Smereka, P.2
  • 81
    • 0033489545 scopus 로고    scopus 로고
    • Direct numerical simulation of free-surface and interfacial flow
    • Scardovelli R, Zaleski S. 1999. Direct numerical simulation of free-surface and interfacial flow. Annu. Rev. Fluid Mech. 31:567-603
    • (1999) Annu. Rev. Fluid Mech. , vol.31 , pp. 567-603
    • Scardovelli, R.1    Zaleski, S.2
  • 82
    • 0004231628 scopus 로고
    • Tech. Rep. 14125, Lawrence Berkeley Natl. Lab., Dep. Math., Univ. Califf., Baerkely
    • Sethian JA. 1982. An analysis of flame propagation. Tech. Rep. 14125, Lawrence Berkeley Natl. Lab., Dep. Math., Univ. Califf., Baerkely
    • (1982) an Analysis of Flame Propagation
    • Sethian, J.A.1
  • 83
    • 34250118137 scopus 로고
    • Curvature and the evolution of fronts
    • Sethian JA. 1985. Curvature and the evolution of fronts. Commun. Math. phys. 101:487-99
    • (1985) Commun. Math. Phys. , vol.101 , pp. 487-499
    • Sethian, J.A.1
  • 84
    • 0003325651 scopus 로고
    • Numerical methods of propagating fronts
    • ed. P Concus, R Finn. New York: Springer-Verlag
    • Sethian JA. 1987. Numerical methods of propagating fronts. In Variational Methods for Free Surface Interfaces, ed. P Concus, R Finn. New York: Springer-Verlag
    • (1987) Variational Methods for Free Surface Interfaces
    • Sethian, J.A.1
  • 85
    • 0000528951 scopus 로고
    • Curvature flow and entropy conditions applied to grid generation
    • Sethian JA. 1994. Curvature flow and entropy conditions applied to grid generation. J. Comput. Phys. 115:440-54
    • (1994) J. Comput. Phys. , vol.115 , pp. 440-454
    • Sethian, J.A.1
  • 86
    • 0029966538 scopus 로고    scopus 로고
    • A fast marching level set method for monotonically advancing fronts
    • Sethian JA.1996a. A fast marching level set method for monotonically advancing fronts. Proc. Natl. Acad. Sci. 93:1591-95
    • (1996) Proc. Natl. Acad. Sci. , vol.93 , pp. 1591-1595
    • Sethian, J.A.1
  • 87
    • 85013842833 scopus 로고    scopus 로고
    • A review of the theory, algorithms, and applications of level set methods for proagating interfaces
    • Sethian JA. 1996b. A review of the theory, algorithms, and applications of level set methods for proagating interfaces. Acta Numer. 309- 95
    • (1996) Acta Numer. , pp. 309-395
    • Sethian, J.A.1
  • 90
    • 0032631799 scopus 로고    scopus 로고
    • Fast marching methods
    • Sethian JA. 1999b. Fast marching methods. SIAM Rev. 41:199-235
    • (1999) SIAM Rev. , vol.41 , pp. 199-235
    • Sethian, J.A.1
  • 91
    • 0037689698 scopus 로고    scopus 로고
    • Evolution, implementation and application of level set and fast marching methods for advancing fronts
    • Sethian JA. 2001. Evolution, implementation and application of level set and fast marching methods for advancing fronts. J. Comput. Phys. 169:503-55
    • (2001) J. Comput. Phys. , vol.169 , pp. 503-555
    • Sethian, J.A.1
  • 92
    • 0000655661 scopus 로고
    • Crystal growth and dendrite solidification
    • Sethian JA, Strain J. 1992. Crystal growth and dendrite solidification. J. Comput. Phys. 98: 231-53
    • (1992) J. Comput. Phys. , vol.98 , pp. 231-253
    • Sethian, J.A.1    Strain, J.2
  • 93
    • 0035949589 scopus 로고    scopus 로고
    • Ordered upwind methods for static Hamilton-Jacobi equations
    • Sethian JA, Vladimirsky A. 2001. Ordered upwind methods for static Hamilton-Jacobi equations. Proc. Natl. Acad. Sci. 98:11069- 74
    • (2001) Proc. Natl. Acad. Sci. , vol.98 , pp. 11069-11074
    • Sethian, J.A.1    Vladimirsky, A.2
  • 95
    • 45449125925 scopus 로고
    • Efficient implementation of essentially non-oscillatory capturing schemes I
    • Shu cw< osher SJ. 1988. Efficient implementation of essentially non-oscillatory capturing schemes I. J. Comput. Phys. 77:439- 71
    • (1988) J. Comput. Phys. , vol.77 , pp. 439-471
    • Shu, C.W.1    Osher, S.J.2
  • 96
    • 0001568854 scopus 로고
    • Efficient implementation of essentially non-oscillatory shock capturing schemes II
    • Shu CW, Osher SJ. 1989. Efficient implementation of essentially non-oscillatory shock capturing schemes II. J. Comput. Phys. 83:32-78
    • (1989) J. Comput. Phys. , vol.83 , pp. 32-78
    • Shu, C.W.1    Osher, S.J.2
  • 97
    • 0346777187 scopus 로고    scopus 로고
    • Level set methods for two-fluid flows
    • Smereka P. 1996. Level set methods for two-fluid flows. Lect. Notes INRIA Short Course. http://www.math.lsa.umich.edu/_esup1/supsmereka
    • (1996) Lect. Notes INRIA Short Course
    • Smereka, P.1
  • 98
    • 0346819812 scopus 로고    scopus 로고
    • Spiral crystal growth
    • Smereka P. 2000. Spiral crystal growth. Phys. D 138:282-301
    • (2000) Phys. D , vol.138 , pp. 282-301
    • Smereka, P.1
  • 99
    • 84995769038 scopus 로고    scopus 로고
    • A projection mrthod for motion of trople junctions by level sets
    • Smith KA, Solis FJ, Chopp DL. 2002. A projection mrthod for motion of trople junctions by level sets. Interfaces Free Bound. 4:263-76
    • (2002) Interfaces Free Bound. , vol.4 , pp. 263-276
    • Smith, K.A.1    Solis, F.J.2    Chopp, D.L.3
  • 100
    • 0032004666 scopus 로고    scopus 로고
    • Numerical simulation of film boiling near critical pressires with a level set method
    • Son G, Dhir VK. 1998. Numerical simulation of film boiling near critical pressires with a level set method. J. Heat Trans. ASME 120:183-92
    • (1998) J. Heat Trans. ASME , vol.120 , pp. 183-192
    • Son, G.1    Dhir, V.K.2
  • 101
    • 38149148188 scopus 로고
    • Generalized motion of a front propagating along its normal direction: A diferential games approach
    • Soavoa P. 1994. Generalized motion of a front propagating along its normal direction: a diferential games approach. Nonlinear Anal. Theory Methods Appl. 22:1247-62
    • (1994) Nonlinear Anal. Theory Methods Appl. , vol.22 , pp. 1247-1262
    • Soavoa, P.1
  • 102
    • 0001155253 scopus 로고    scopus 로고
    • Fast tree-based redistancing for level set computations
    • Starain J. 1999a. Fast tree-based redistancing for level set computations. J. Comput. Phys. 152-649-66
    • (1999) J. Comput. Phys. , vol.152 , pp. 649-666
    • Starain, J.1
  • 103
    • 0346156219 scopus 로고    scopus 로고
    • Semi-Lagrangian methods for level set equations
    • Strain J. 1999b. Semi-Lagrangian methods for level set equations. J. Comput. Phys. 151:498-533
    • (1999) J. Comput. Phys. , vol.151 , pp. 498-533
    • Strain, J.1
  • 104
    • 0000151738 scopus 로고    scopus 로고
    • Tree methods for moving interfaces
    • Strain J. 1999c. Tree methods for moving interfaces. J. Comput. Phys.151616-48
    • (1999) J. Comput. Phys. , vol.151 , pp. 616-648
    • Strain, J.1
  • 105
    • 0035860267 scopus 로고    scopus 로고
    • Modeling holes and inclutions by level sets in the extended finite-element method Comput
    • Sukumar N, Chopp DL, Moses N, Belytschko T. 2001. Modeling holes and inclutions by level sets in the extended finite-element method Comput. Method Appl. Math 190:6183- 200
    • (2001) Method Appl. Math , vol.190 , pp. 6183-6200
    • Sukumar, N.1    Chopp, D.L.2    Moses, N.3    Belytschko, T.4
  • 106
    • 84994175319 scopus 로고    scopus 로고
    • An adaptive mesh algorithm for free surface flows in general geometries
    • Boca Raton, FL: Chapman-Hill/CRC Press
    • Sussman M. 2001. An adaptive mesh algorithm for free surface flows in general geometries. In Adaptive Methods of Lines, pp. 207-27. Boca Raton, FL: Chapman-Hill/CRC Press
    • (2001) Adaptive Methods of Lines , pp. 207-227
    • Sussman, M.1
  • 108
    • 0242669566 scopus 로고    scopus 로고
    • The numerical simulation of ship wave using Cartesian grid methods
    • Val-De-Reuil, France, Washington, DC: Natl. Acad. Press
    • Sussman M, Dommermuth DG. 2000. The numerical simulation of ship wave using Cartesian grid methods. Proc. Symp. Naval Hydrodyn., 23rd, Val-De-Reuil, France, pp. 762-79. Washington, DC: Natl. Acad. Press
    • (2000) Proc. Symp. Naval Hydrodyn., 23rd , pp. 762-779
    • Sussman, M.1    Dommermuth, D.G.2
  • 109
    • 0033279022 scopus 로고    scopus 로고
    • An efficient interface preserving level set re-distancing algorithm and its application to interfacial incompressible fluid flow
    • Sussman M, Fatemi E. 1999. An efficient interface preserving level set re-distancing algorithm and its application to interfacial incompressible fluid flow. SIAM J. Sci. Comput. 20:1165-91
    • (1999) SIAM J. Sci. Comput. , vol.20 , pp. 1165-1191
    • Sussman, M.1    Fatemi, E.2
  • 110
    • 0032100281 scopus 로고    scopus 로고
    • An improved level set method of incompressible two-fluid flow
    • Sussman M, Fatemi E< Smereka P, Osher S. 1998. An improved level set method of incompressible two-fluid flos. Comput. Fluids 27:663-80
    • (1998) Comput. Fluids , vol.27 , pp. 663-680
    • Sussman, M.1    Fatemi, E.2    Smereka, P.3    Osher, S.4
  • 111
    • 0002458941 scopus 로고    scopus 로고
    • A coupled level set and volume-of-fluid method for computing 3D and axisymmetric incompressible two-phase flows
    • Sussman M, Puckett EG. 2000. A coupled level set and volume-of-fluid method for computing 3D and axisymmetric incompressible two-phase flows. J. Comput. Phys. 162:301 37
    • (2000) J. Comput. Phys. , vol.162 , pp. 301-337
    • Sussman, M.1    Puckett, E.G.2
  • 112
    • 0031171884 scopus 로고    scopus 로고
    • Axisymmetric free boundary problems
    • Sussman M, Smereka P. 1997. Axisymmetric free boundary problems. J. Fluid Mech 341:269-94
    • (1997) J. Fluid Mech , vol.341 , pp. 269-294
    • Sussman, M.1    Smereka, P.2
  • 113
    • 28144444111 scopus 로고
    • A level set approach to computing solutions to incompressible two-phase flow
    • Sussman M, Smereka P, Osher SJ. 1994. A level set approach to computing solutions to incompressible two-phase flow. J. Comput. Phys. 114:146-59
    • (1994) J. Comput. Phys. , vol.114 , pp. 146-159
    • Sussman, M.1    Smereka, P.2    Osher, S.J.3
  • 115
    • 0348050690 scopus 로고    scopus 로고
    • A projection method for incompressible viscous flow on moving quadrilateral grid
    • Trebotich DP, Colella P. 2001. A projection method for incompressible viscous flow on moving quadrilateral grid. J. Comput. Phys. 166:191-217
    • (2001) J. Comput. Phys. , vol.166 , pp. 191-217
    • Trebotich, D.P.1    Colella, P.2
  • 117
    • 0029373106 scopus 로고
    • Efficient algorithms for globally optimal trajectories
    • TSitsiklis JN. 1995. Efficient algorithms for globally optimal trajectories. IEEE Trans. Autom. Control 40:1528-38
    • (1995) IEEE Trans. Autom. Control , vol.40 , pp. 1528-1538
    • TSitsiklis, J.N.1
  • 118
    • 3242694679 scopus 로고
    • A front-tracking method for viscous, incompressible, multi-fluid flows
    • Unverdi SO, Tryggvason G. 1992. A front-tracking method for viscous, incompressible, multi-fluid flows. J. Comput. Phys. 100:25- 37
    • (1992) J. Comput. Phys. , vol.100 , pp. 25-37
    • Unverdi, S.O.1    Tryggvason, G.2
  • 119
    • 0003912415 scopus 로고
    • Evolutionary selection, a principle governing growth orientation in vapor-deposited layers
    • van der Drift A. 1967. Evolutionary selection, a principle governing growth orientation in vapor-deposited layers Philips Res. Rep. 22:267-88
    • (1967) Philips Res. Rep. , vol.22 , pp. 267-288
    • van der Drift, A.1
  • 120
    • 0029254965 scopus 로고
    • Prediction of dendritic growth and microsegregation patterns in a binary alloy using the phase field method
    • Warren JA, Boettinger WJ. 1995. Prediction of dendritic growth and microsegregation patterns in a binary alloy using the phase field method . Acta Metall. Mater> 43:689-703
    • (1995) Acta Metall. Mater. , vol.43 , pp. 689-703
    • Warren, J.A.1    Boettinger, W.J.2
  • 121
    • 25744454700 scopus 로고
    • Computation of dendrites using a phase field model
    • Wheeler AA, Muray BT, Schaefer RJ> 1993. Computation of dendrites using a phase field model. Phys. D 66:243-62
    • (1993) Phys. D , vol.66 , pp. 243-262
    • Wheeler, A.A.1    Muray, B.T.2    Schaefer, R.J.3
  • 122
    • 0001421454 scopus 로고
    • Frage der Geshwindigkeit des Wachstums und der Anflosung der Kristallflahen
    • Wulff G. 1901. Frage der Geshwindigkeit des Wachstums und der Anflosung der Kristallflahen. Z. Krystall. Min. 34:449-530
    • (1901) Z. Krystall. Min. , vol.34 , pp. 449-530
    • Wulff, G.1
  • 123
  • 124
    • 0001474149 scopus 로고    scopus 로고
    • Capturing the behavior of bubbles and drops using the variational level set approach
    • Zhao HK, Merriman B, Osher SJ, Wang L. 1998. Capturing the behavior of bubbles and drops using the variational level set approach. J. Comput. Phys. 127:495-518
    • (1998) J. Comput. Phys. , vol.127 , pp. 495-518
    • Zhao, H.K.1    Merriman, B.2    Osher, S.J.3    Wang, L.4
  • 125
    • 84963385962 scopus 로고
    • Simulation of front propagation at large non-dimentional flow disturbance intensities
    • Zhu J, Ronney PD. 1995. Simulation of front propagation at large non-dimentional flow disturbance intensities. Com. Sci. Tech. 100:183-201
    • (1995) Com. Sci. Tech. , vol.100 , pp. 183-201
    • Zhu, J.1    Ronney, P.D.2
  • 126
    • 0000085713 scopus 로고
    • Projection methods coupled to level set interface techniques
    • Zhu J, Sethian JA. 1992. Projection methods coupled to level set interface techniques. J> Comput. Phys. 102:128-38
    • (1992) J. Comput. Phys. , vol.102 , pp. 128-138
    • Zhu, J.1    Sethian, J.A.2


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