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Volumn 35, Issue 10, 2006, Pages 995-1010

Spatially adaptive techniques for level set methods and incompressible flow

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; HAMILTONIANS; INCOMPRESSIBLE FLOW; SET THEORY; TOPOLOGY; TWO PHASE FLOW;

EID: 33747844285     PISSN: 00457930     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compfluid.2005.01.006     Document Type: Review
Times cited : (225)

References (105)
  • 1
    • 28144437204 scopus 로고
    • A fast level set method for propagating interfaces
    • Adalsteinsson D., and Sethian J. A fast level set method for propagating interfaces. J Comput Phys 118 (1995) 269-277
    • (1995) J Comput Phys , vol.118 , pp. 269-277
    • Adalsteinsson, D.1    Sethian, J.2
  • 2
    • 0002108952 scopus 로고    scopus 로고
    • The fast construction of extension velocities in level set methods
    • Adalsteinsson D., and Sethian J. The fast construction of extension velocities in level set methods. J Comput Phys 148 (1999) 2-22
    • (1999) J Comput Phys , vol.148 , pp. 2-22
    • Adalsteinsson, D.1    Sethian, J.2
  • 3
    • 33747816773 scopus 로고    scopus 로고
    • Aftosmis MJ, Berger MJ, Melton JE. Adaptive cartesian mesh generation. CRC handbook of mesh generation (Contributed Chapter), 1998.
  • 5
    • 0037429524 scopus 로고    scopus 로고
    • A level set approach to Eulerian-Lagrangian coupling
    • Arienti M., Hung P., Morano E., and Shepherd J. A level set approach to Eulerian-Lagrangian coupling. J Comput Phys 185 (2003) 213-251
    • (2003) J Comput Phys , vol.185 , pp. 213-251
    • Arienti, M.1    Hung, P.2    Morano, E.3    Shepherd, J.4
  • 6
    • 11744289966 scopus 로고
    • Local adaptive mesh refinement for shock hydrodynamics
    • Berger M., and Colella P. Local adaptive mesh refinement for shock hydrodynamics. J Comput Phys 82 (1989) 64-84
    • (1989) J Comput Phys , vol.82 , pp. 64-84
    • Berger, M.1    Colella, P.2
  • 7
    • 48749141209 scopus 로고
    • Adaptive mesh refinement for hyperbolic partial differential equations
    • Berger M., and Oliger J. Adaptive mesh refinement for hyperbolic partial differential equations. J Comput Phys 53 (1984) 484-512
    • (1984) J Comput Phys , vol.53 , pp. 484-512
    • Berger, M.1    Oliger, J.2
  • 8
    • 28144462923 scopus 로고
    • A continuum method for modelling surface tension
    • Brackbill J.U., Kothe D.B., and Zemach C. A continuum method for modelling surface tension. J Comput Phys 100 (1992) 335-353
    • (1992) J Comput Phys , vol.100 , pp. 335-353
    • Brackbill, J.U.1    Kothe, D.B.2    Zemach, C.3
  • 9
    • 0000275077 scopus 로고    scopus 로고
    • Motion of curves in three spatial dimensions using a level set approach
    • Burchard P., Cheng L.-T., Merriman B., and Osher S. Motion of curves in three spatial dimensions using a level set approach. J Comput Phys 170 (2001) 720-741
    • (2001) J Comput Phys , vol.170 , pp. 720-741
    • Burchard, P.1    Cheng, L.-T.2    Merriman, B.3    Osher, S.4
  • 10
    • 23844524180 scopus 로고    scopus 로고
    • A survey on level set methods for inverse problems and optimal design
    • Burger M., and Osher S. A survey on level set methods for inverse problems and optimal design. European J Appl Math 16 (2005) 263-301
    • (2005) European J Appl Math , vol.16 , pp. 263-301
    • Burger, M.1    Osher, S.2
  • 11
    • 0001946968 scopus 로고    scopus 로고
    • A numerical method for two phase flow consisting of separate compressible and incompressible regions
    • Caiden R., Fedkiw R., and Anderson C. A numerical method for two phase flow consisting of separate compressible and incompressible regions. J Comput Phys 166 (2001) 1-27
    • (2001) J Comput Phys , vol.166 , pp. 1-27
    • Caiden, R.1    Fedkiw, R.2    Anderson, C.3
  • 12
    • 0035248865 scopus 로고    scopus 로고
    • Active contour without edges
    • Chan T., and Vese L. Active contour without edges. IEEE Trans Image Process 10 (2001) 266-277
    • (2001) IEEE Trans Image Process , vol.10 , pp. 266-277
    • Chan, T.1    Vese, L.2
  • 13
    • 0030584607 scopus 로고    scopus 로고
    • Eulerian capturing methods based on a level set formulation for incompressible fluid interfaces
    • Chang Y.-C., Hou T., Merriman B., and Osher S. Eulerian capturing methods based on a level set formulation for incompressible fluid interfaces. J Comput Phys 124 (1996) 449-464
    • (1996) J Comput Phys , vol.124 , pp. 449-464
    • Chang, Y.-C.1    Hou, T.2    Merriman, B.3    Osher, S.4
  • 14
    • 0000080758 scopus 로고
    • Velocity boundary conditions for the simulation of free surface fluid flow
    • Chen S., Johnson D., and Raad P. Velocity boundary conditions for the simulation of free surface fluid flow. J Comput Phys 116 (1995) 262-276
    • (1995) J Comput Phys , vol.116 , pp. 262-276
    • Chen, S.1    Johnson, D.2    Raad, P.3
  • 15
    • 0031252043 scopus 로고    scopus 로고
    • A simple level set method for solving Stefan problems
    • Chen S., Johnson D., Raad P., and Fadda D. A simple level set method for solving Stefan problems. Int J Numer Meth 25 (1997) 749-778
    • (1997) Int J Numer Meth , vol.25 , pp. 749-778
    • Chen, S.1    Johnson, D.2    Raad, P.3    Fadda, D.4
  • 16
    • 0002631224 scopus 로고    scopus 로고
    • A simple level set method for solving Stefan problems
    • Chen S., Merriman B., Osher S., and Smereka P. A simple level set method for solving Stefan problems. J Comput Phys 135 (1997) 8-29
    • (1997) J Comput Phys , vol.135 , pp. 8-29
    • Chen, S.1    Merriman, B.2    Osher, S.3    Smereka, P.4
  • 17
    • 3242697504 scopus 로고    scopus 로고
    • Computational high frequency propagation using the level set method with applications to the semi-classical limit of the Schrodinger equation
    • Cheng L.-T., Liu H., and Osher S. Computational high frequency propagation using the level set method with applications to the semi-classical limit of the Schrodinger equation. Commun Math Sci 1 3 (2003) 593-621
    • (2003) Commun Math Sci , vol.1 , Issue.3 , pp. 593-621
    • Cheng, L.-T.1    Liu, H.2    Osher, S.3
  • 18
    • 0346152714 scopus 로고    scopus 로고
    • An enriched finite element method and level sets for axisymmetric two-phase flow with surface tension
    • Chessa J., and Belytschko T. An enriched finite element method and level sets for axisymmetric two-phase flow with surface tension. Int J Numer Methods Eng 58 (2003) 2041-2064
    • (2003) Int J Numer Methods Eng , vol.58 , pp. 2041-2064
    • Chessa, J.1    Belytschko, T.2
  • 19
    • 0037235883 scopus 로고    scopus 로고
    • An extended finite element method for two-phase fluids
    • Chessa J., and Belytschko T. An extended finite element method for two-phase fluids. ASME J Appl Mech 70 (2003) 10-17
    • (2003) ASME J Appl Mech , vol.70 , pp. 10-17
    • Chessa, J.1    Belytschko, T.2
  • 20
    • 0348222800 scopus 로고    scopus 로고
    • Interface conditions for wave propagation through mesh refinement boundaries
    • Choi D.-I., Brown J.D., Imbiriba B., Centrella J., and MacNeice P. Interface conditions for wave propagation through mesh refinement boundaries. J Comput Phys 193 (2004) 398-425
    • (2004) J Comput Phys , vol.193 , pp. 398-425
    • Choi, D.-I.1    Brown, J.D.2    Imbiriba, B.3    Centrella, J.4    MacNeice, P.5
  • 21
    • 0002875807 scopus 로고
    • Computing minimal surfaces via level set curvature flow
    • Chopp D. Computing minimal surfaces via level set curvature flow. J Comput Phys 106 (1993) 77-91
    • (1993) J Comput Phys , vol.106 , pp. 77-91
    • Chopp, D.1
  • 22
    • 0036210688 scopus 로고    scopus 로고
    • Some improvements of the fast marching method
    • Chopp D. Some improvements of the fast marching method. SIAM J Sci Comput 223 (2001) 230-244
    • (2001) SIAM J Sci Comput , vol.223 , pp. 230-244
    • Chopp, D.1
  • 24
    • 33747818295 scopus 로고    scopus 로고
    • Day M, Colella P, Lijewski M, Rendleman C, Marcus D. Embedded boundary algorithms for solving the Poisson equation on complex domains. Technical report, Lawrence Berkeley National Laboratory (LBNL-41811), 1998.
  • 25
    • 33747831719 scopus 로고    scopus 로고
    • Dervieux A, Thomasset F. A finite element method for the simulation of a Rayleigh-Taylor instability. Lecture Notes in Math. 1979;771:145-58.
  • 26
    • 33747817666 scopus 로고    scopus 로고
    • Dervieux A, Thomasset F. Multifluid incompressible flows by a finite element method. Lecture Notes in Phys. 1981;141:158-63.
  • 27
    • 0037146444 scopus 로고    scopus 로고
    • A hybrid particle level set method for improved interface capturing
    • Enright D., Fedkiw R., Ferziger J., and Mitchell I. A hybrid particle level set method for improved interface capturing. J Comput Phys 183 (2002) 83-116
    • (2002) J Comput Phys , vol.183 , pp. 83-116
    • Enright, D.1    Fedkiw, R.2    Ferziger, J.3    Mitchell, I.4
  • 28
    • 13544259663 scopus 로고    scopus 로고
    • A fast and accurate semi-Lagrangian particle level set method
    • Enright D., Losasso F., and Fedkiw R. A fast and accurate semi-Lagrangian particle level set method. Comput Struct 83 (2005) 479-490
    • (2005) Comput Struct , vol.83 , pp. 479-490
    • Enright, D.1    Losasso, F.2    Fedkiw, R.3
  • 30
    • 0346905274 scopus 로고    scopus 로고
    • Enright D, Nguyen D, Gibou F, Fedkiw R. Using the particle level set method and a second order accurate pressure boundary condition for free surface flows. In Proceedings of the 4th ASME-JSME Joint Fluids Engineering Conference, Number FEDSM2003-45144. ASME, 2003.
  • 31
    • 33747868411 scopus 로고    scopus 로고
    • Esedoglu S, Tsai R. Threshold dynamics for the piecewise constant mumford-shah functional. CAM report (04-63), 2004.
  • 32
    • 0036154046 scopus 로고    scopus 로고
    • Coupling an Eulerian fluid calculation to a Lagrangian solid calculation with the ghost fluid method
    • Fedkiw R. Coupling an Eulerian fluid calculation to a Lagrangian solid calculation with the ghost fluid method. J Comput Phys 175 (2002) 200-224
    • (2002) J Comput Phys , vol.175 , pp. 200-224
    • Fedkiw, R.1
  • 33
    • 0346837922 scopus 로고    scopus 로고
    • A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method)
    • Fedkiw R., Aslam T., Merriman B., and Osher S. A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method). J Comput Phys 152 (1999) 457-492
    • (1999) J Comput Phys , vol.152 , pp. 457-492
    • Fedkiw, R.1    Aslam, T.2    Merriman, B.3    Osher, S.4
  • 34
    • 0000625475 scopus 로고    scopus 로고
    • The ghost fluid method for deflagration and detonation discontinuities
    • Fedkiw R., Aslam T., and Xu S. The ghost fluid method for deflagration and detonation discontinuities. J Comput Phys 154 (1999) 393-427
    • (1999) J Comput Phys , vol.154 , pp. 393-427
    • Fedkiw, R.1    Aslam, T.2    Xu, S.3
  • 35
    • 84907010225 scopus 로고    scopus 로고
    • Foster N, Fedkiw R. Practical animation of liquids. In Proceedings of ACM SIGGRAPH 2001, 2001. p. 23-30.
  • 36
    • 33747829252 scopus 로고    scopus 로고
    • Gibou F, Fedkiw R. A fast hybrid k-means level set algorithm for segmentation. In 4th International Conference on Statistics, Mathematical and Related Fields, Honolulu, 2005. Stanford Technical Report, November, 2002.
  • 37
    • 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 Comput Phys 202 (2005) 577-601
    • (2005) J Comput Phys , vol.202 , pp. 577-601
    • Gibou, F.1    Fedkiw, R.2
  • 38
    • 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 Comput 19 (2003) 183-199
    • (2003) J Sci Comput , vol.19 , pp. 183-199
    • Gibou, F.1    Fedkiw, R.2    Caflisch, R.3    Osher, S.4
  • 39
    • 0037050814 scopus 로고    scopus 로고
    • A second-order-accurate symmetric discretization of the Poisson equation on irregular domains
    • Gibou F., Fedkiw R., Cheng L.-T., and Kang M. A second-order-accurate symmetric discretization of the Poisson equation on irregular domains. J Comput Phys 176 (2002) 205-227
    • (2002) J Comput Phys , vol.176 , pp. 205-227
    • Gibou, F.1    Fedkiw, R.2    Cheng, L.-T.3    Kang, M.4
  • 41
    • 0842290729 scopus 로고    scopus 로고
    • A quadtree adaptive method for simulating fluid flows with moving interfaces
    • Greaves D. A quadtree adaptive method for simulating fluid flows with moving interfaces. J Comput Phys 194 (2004) 35-56
    • (2004) J Comput Phys , vol.194 , pp. 35-56
    • Greaves, D.1
  • 43
    • 33749190078 scopus 로고
    • Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface
    • Harlow F., and Welch J. Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface. Phys Fluids 8 (1965) 2182-2189
    • (1965) Phys Fluids , vol.8 , pp. 2182-2189
    • Harlow, F.1    Welch, J.2
  • 44
    • 33749725182 scopus 로고
    • Uniformly high-order accurate essentially non-oscillatory schemes III
    • Harten A., Enquist B., Osher S., and Chakravarthy S. Uniformly high-order accurate essentially non-oscillatory schemes III. J Comput Phys 71 (1987) 231-303
    • (1987) J Comput Phys , vol.71 , pp. 231-303
    • Harten, A.1    Enquist, B.2    Osher, S.3    Chakravarthy, S.4
  • 46
    • 0034503787 scopus 로고    scopus 로고
    • Weighted ENO schemes for Hamilton-Jacobi equations
    • Jiang G.-S., and Peng D. Weighted ENO schemes for Hamilton-Jacobi equations. SIAM J Sci Comput 21 (2000) 2126-2143
    • (2000) SIAM J Sci Comput , vol.21 , pp. 2126-2143
    • Jiang, G.-S.1    Peng, D.2
  • 47
    • 0030161771 scopus 로고    scopus 로고
    • Efficient implementation of weighted ENO schemes
    • Jiang G.-S., and Shu C.-W. Efficient implementation of weighted ENO schemes. J Comput Phys 126 (1996) 202-228
    • (1996) J Comput Phys , vol.126 , pp. 202-228
    • Jiang, G.-S.1    Shu, C.-W.2
  • 48
    • 3242673880 scopus 로고    scopus 로고
    • A level set method for computing multivalued solutions to quasi-linear hyperbolic equations and Hamilton-Jacobi equations
    • Jin S., and Osher S. A level set method for computing multivalued solutions to quasi-linear hyperbolic equations and Hamilton-Jacobi equations. Commun Math Sci 1 3 (2003) 575-591
    • (2003) Commun Math Sci , vol.1 , Issue.3 , pp. 575-591
    • Jin, S.1    Osher, S.2
  • 50
    • 0034260316 scopus 로고    scopus 로고
    • A boundary condition capturing method for multiphase incompressible flow
    • Kang M., Fedkiw R., and Liu X.-D. A boundary condition capturing method for multiphase incompressible flow. J Sci Comput 15 (2000) 323-360
    • (2000) J Sci Comput , vol.15 , pp. 323-360
    • Kang, M.1    Fedkiw, R.2    Liu, X.-D.3
  • 51
    • 84907017814 scopus 로고    scopus 로고
    • Kobbelt LP, Botsch M, Schwanecke U, Seidel H-P. Feature sensitive surface extraction from volume data. In Proceedings of ACM SIGGRAPH 2001, 2001. p. 56-66.
  • 52
    • 4544253720 scopus 로고    scopus 로고
    • Mimetic finite difference methods for diffusion equations on non-orthogonal non-conformal meshes
    • Lipnikov K., Morel J., and Shashkov M. Mimetic finite difference methods for diffusion equations on non-orthogonal non-conformal meshes. J Comput Phys 199 2 (2004) 589-597
    • (2004) J Comput Phys , vol.199 , Issue.2 , pp. 589-597
    • Lipnikov, K.1    Morel, J.2    Shashkov, M.3
  • 53
    • 0347370534 scopus 로고    scopus 로고
    • Weighted essentially non-oscillatory schemes
    • Liu X.-D., Osher S., and Chan T. Weighted essentially non-oscillatory schemes. J Comput Phys 126 (1996) 202-212
    • (1996) J Comput Phys , vol.126 , pp. 202-212
    • Liu, X.-D.1    Osher, S.2    Chan, T.3
  • 54
    • 0001491689 scopus 로고    scopus 로고
    • A boundary condition capturing method for Poisson's equation on irregular domains
    • Liu X.D., Fedkiw R., and Kang M. A boundary condition capturing method for Poisson's equation on irregular domains. J Comput Phys 154 (2000) 151
    • (2000) J Comput Phys , vol.154 , pp. 151
    • Liu, X.D.1    Fedkiw, R.2    Kang, M.3
  • 55
    • 4544285126 scopus 로고    scopus 로고
    • High-order surface tension vof-model for 3d bubble flows with high density ratio
    • Lörstad D., and Fuchs L. High-order surface tension vof-model for 3d bubble flows with high density ratio. J Comput Phys 200 (2004) 152-176
    • (2004) J Comput Phys , vol.200 , pp. 152-176
    • Lörstad, D.1    Fuchs, L.2
  • 56
  • 58
    • 84859041948 scopus 로고    scopus 로고
    • Mihalef V, Metaxas D, Sussman M. Animation and control of breaking waves. In Proceedings of the 2004 ACM SIGGRAPH/Eurographics Symposium on Comput. Anim., 2004. p. 315-24.
  • 59
    • 4544273739 scopus 로고    scopus 로고
    • Local level set method in high dimension and codimension
    • Min C. Local level set method in high dimension and codimension. J Comput Phys 200 (2004) 368-382
    • (2004) J Comput Phys , vol.200 , pp. 368-382
    • Min, C.1
  • 60
    • 12844282150 scopus 로고    scopus 로고
    • A virtual node algorithm for changing mesh topology during simulation
    • Molino N., Bao Z., and Fedkiw R. A virtual node algorithm for changing mesh topology during simulation. ACM Trans Graph (SIGGRAPH Proc) 23 (2004) 385-392
    • (2004) ACM Trans Graph (SIGGRAPH Proc) , vol.23 , pp. 385-392
    • Molino, N.1    Bao, Z.2    Fedkiw, R.3
  • 61
    • 0000930479 scopus 로고
    • Computing interface motion in compressible gas dynamics
    • Mulder W., Osher S., and Sethian J. Computing interface motion in compressible gas dynamics. J Comput Phys 100 (1992) 209-228
    • (1992) J Comput Phys , vol.100 , pp. 209-228
    • Mulder, W.1    Osher, S.2    Sethian, J.3
  • 62
    • 84990602490 scopus 로고
    • Optimal approximation by piecewise smooth functions and associated variational problems
    • Mumford D., and Shah J. Optimal approximation by piecewise smooth functions and associated variational problems. Commun Pure Appl Math 42 (1989) 577-685
    • (1989) Commun Pure Appl Math , vol.42 , pp. 577-685
    • Mumford, D.1    Shah, J.2
  • 65
    • 0035455631 scopus 로고    scopus 로고
    • A boundary condition capturing method for incompressible flame discontinuities
    • Nguyen D., Fedkiw R., and Kang M. A boundary condition capturing method for incompressible flame discontinuities. J Comput Phys 172 (2001) 71-98
    • (2001) J Comput Phys , vol.172 , pp. 71-98
    • Nguyen, D.1    Fedkiw, R.2    Kang, M.3
  • 66
    • 33747848655 scopus 로고    scopus 로고
    • Nguyen D, Gibou F, Fedkiw R. A fully conservative ghost fluid method and stiff detonation waves. In 12th International Detonation Symposium, San Diego, CA, 2002.
  • 69
    • 44749084234 scopus 로고
    • Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
    • Osher S., and Sethian J. Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations. J Comput Phys 79 (1988) 12-49
    • (1988) J Comput Phys , vol.79 , pp. 12-49
    • Osher, S.1    Sethian, J.2
  • 70
    • 0026204106 scopus 로고
    • High order essentially non-oscillatory schemes for Hamilton-Jacobi equations
    • Osher S., and Shu C.-W. High order essentially non-oscillatory schemes for Hamilton-Jacobi equations. SIAM J Numer Anal 28 (1991) 902-921
    • (1991) SIAM J Numer Anal , vol.28 , pp. 902-921
    • Osher, S.1    Shu, C.-W.2
  • 72
    • 0017424014 scopus 로고
    • Numerical analysis of blood flow in the heart
    • Peskin C. Numerical analysis of blood flow in the heart. J Comput Phys 25 (1977) 220-252
    • (1977) J Comput Phys , vol.25 , pp. 220-252
    • Peskin, C.1
  • 73
    • 4544241087 scopus 로고    scopus 로고
    • Second-order accurate volume-of-fluid algorithms for tracking material interfaces
    • Pilliod J.E., and Puckett E.G. Second-order accurate volume-of-fluid algorithms for tracking material interfaces. J Comput Phys 199 (2004) 465-502
    • (2004) J Comput Phys , vol.199 , pp. 465-502
    • Pilliod, J.E.1    Puckett, E.G.2
  • 74
    • 0141515637 scopus 로고    scopus 로고
    • Gerris: a tree-based adaptive solver for the incompressible Euler equations in complex geometries
    • Popinet S. Gerris: a tree-based adaptive solver for the incompressible Euler equations in complex geometries. J Comput Phys 190 (2003) 572-600
    • (2003) J Comput Phys , vol.190 , pp. 572-600
    • Popinet, S.1
  • 75
    • 0029542964 scopus 로고
    • The introduction of micro cells to treat pressure in free surface fluid flow problems
    • Raad P., Chen S., and Johnson D. The introduction of micro cells to treat pressure in free surface fluid flow problems. J Fluids Eng 117 (1995) 683-690
    • (1995) J Fluids Eng , vol.117 , pp. 683-690
    • Raad, P.1    Chen, S.2    Johnson, D.3
  • 76
    • 84981341383 scopus 로고    scopus 로고
    • Rasmussen N, Enright D, Nguyen D, Marino S, Sumner N, Geiger W, et al. Directible photorealistic liquids. In: Proceedings of the 2004 ACM SIGGRAPH/Eurographics Symposium on Comput. Anim., 2004, p. 193-202.
  • 78
    • 33645134718 scopus 로고    scopus 로고
    • A vortex particle method for smoke, water and explosions
    • Selle A., Rasmussen N., and Fedkiw R. A vortex particle method for smoke, water and explosions. CM Trans Graph (SIGGRAPH Proc) 24 3 (2005) 910-914
    • (2005) CM Trans Graph (SIGGRAPH Proc) , vol.24 , Issue.3 , pp. 910-914
    • Selle, A.1    Rasmussen, N.2    Fedkiw, R.3
  • 79
    • 0029966538 scopus 로고    scopus 로고
    • A fast marching level set method for monotonically advancing fronts
    • Sethian J. A fast marching level set method for monotonically advancing fronts. Proc Natl Acad Sci 93 (1996) 1591-1595
    • (1996) Proc Natl Acad Sci , vol.93 , pp. 1591-1595
    • Sethian, J.1
  • 80
    • 0032631799 scopus 로고    scopus 로고
    • Fast marching methods
    • Sethian J. Fast marching methods. SIAM Rev 41 (1999) 199-235
    • (1999) SIAM Rev , vol.41 , pp. 199-235
    • Sethian, J.1
  • 81
    • 45449125925 scopus 로고
    • Efficient implementation of essentially non-oscillatory shock capturing schemes
    • Shu C.-W., and Osher S. Efficient implementation of essentially non-oscillatory shock capturing schemes. J Comput Phys 77 (1988) 439-471
    • (1988) J Comput Phys , vol.77 , pp. 439-471
    • Shu, C.-W.1    Osher, S.2
  • 82
    • 0001568854 scopus 로고
    • Efficient implementation of essentially non-oscillatory shock capturing schemes II (two)
    • Shu C.-W., and Osher S. Efficient implementation of essentially non-oscillatory shock capturing schemes II (two). J Comput Phys 83 (1989) 32-78
    • (1989) J Comput Phys , vol.83 , pp. 32-78
    • Shu, C.-W.1    Osher, S.2
  • 83
    • 33747817665 scopus 로고    scopus 로고
    • Song S, Chan T. A fast algorithm for level set based optimization. CAM report (02-68), 2002.
  • 84
    • 0026291228 scopus 로고
    • Semi-Lagrangian integration schemes for atmospheric models: a review
    • Staniforth A., and Cote J. Semi-Lagrangian integration schemes for atmospheric models: a review. Monthly Weather Rev 119 (1991) 2206-2223
    • (1991) Monthly Weather Rev , vol.119 , pp. 2206-2223
    • Staniforth, A.1    Cote, J.2
  • 85
    • 0001155253 scopus 로고    scopus 로고
    • Fast tree-based redistancing for level set computations
    • Strain J. Fast tree-based redistancing for level set computations. J Comput Phys 152 (1999) 664-686
    • (1999) J Comput Phys , vol.152 , pp. 664-686
    • Strain, J.1
  • 86
    • 0000151738 scopus 로고    scopus 로고
    • Tree methods for moving interfaces
    • Strain J. Tree methods for moving interfaces. J Comput Phys 151 (1999) 616-648
    • (1999) J Comput Phys , vol.151 , pp. 616-648
    • Strain, J.1
  • 87
    • 0037407382 scopus 로고    scopus 로고
    • A second order coupled level set and volume-of-fluid method for computing growth and collapse of vapor bubbles
    • Sussman M. A second order coupled level set and volume-of-fluid method for computing growth and collapse of vapor bubbles. J Comput Phys 187 (2003) 110-136
    • (2003) J Comput Phys , vol.187 , pp. 110-136
    • Sussman, M.1
  • 89
    • 0033279022 scopus 로고    scopus 로고
    • An efficient interface-preserving level set redistancing algorithm and its application to interfacial incompressible fluid flow
    • Sussman M., and Fatemi E. An efficient interface-preserving level set redistancing algorithm and its application to interfacial incompressible fluid flow. SIAM J Sci Comput 20 (1999) 1165-1191
    • (1999) SIAM J Sci Comput , vol.20 , pp. 1165-1191
    • Sussman, M.1    Fatemi, E.2
  • 90
    • 0032100281 scopus 로고    scopus 로고
    • An improved level set method for incompressible two-phase flows
    • Sussman M., Fatemi E., Smereka P., and Osher S. An improved level set method for incompressible two-phase flows. Comput Fluids 27 (1998) 663-680
    • (1998) Comput Fluids , vol.27 , pp. 663-680
    • Sussman, M.1    Fatemi, E.2    Smereka, P.3    Osher, S.4
  • 91
    • 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., and Puckett E.G. A coupled level set and volume-of-fluid method for computing 3d and axisymmetric incompressible two-phase flows. J Comput Phys 162 (2000) 301-337
    • (2000) J Comput Phys , vol.162 , pp. 301-337
    • Sussman, M.1    Puckett, E.G.2
  • 92
    • 28144444111 scopus 로고
    • A level set approach for computing solutions to incompressible two-phase flow
    • Sussman M., Smereka P., and Osher S. A level set approach for computing solutions to incompressible two-phase flow. J Comput Phys 114 (1994) 146-159
    • (1994) J Comput Phys , vol.114 , pp. 146-159
    • Sussman, M.1    Smereka, P.2    Osher, S.3
  • 93
    • 0038346370 scopus 로고    scopus 로고
    • An adaptive mesh redistribution method for nonlinear Hamilton-Jacobi equations in two- and three-dimensions
    • Tang H.-Z., Tang T., and Zhang P. An adaptive mesh redistribution method for nonlinear Hamilton-Jacobi equations in two- and three-dimensions. J Comput Phys 188 (2003) 543-572
    • (2003) J Comput Phys , vol.188 , pp. 543-572
    • Tang, H.-Z.1    Tang, T.2    Zhang, P.3
  • 94
    • 34447258102 scopus 로고    scopus 로고
    • A finite element based level set method for multiphase flow applications
    • Tornberg A.-K., and Engquist B. A finite element based level set method for multiphase flow applications. Comput Vis Sci 3 (2000) 93-101
    • (2000) Comput Vis Sci , vol.3 , pp. 93-101
    • Tornberg, A.-K.1    Engquist, B.2
  • 95
    • 7244250225 scopus 로고    scopus 로고
    • Numerical approximations of singular source terms in differential equations
    • Tornberg A.-K., and Engquist B. Numerical approximations of singular source terms in differential equations. J Comput Phys 200 (2004) 462-488
    • (2004) J Comput Phys , vol.200 , pp. 462-488
    • Tornberg, A.-K.1    Engquist, B.2
  • 96
    • 29144525336 scopus 로고    scopus 로고
    • Level set methods and their applications in image science
    • Tsai Y.-H., and Osher S. Level set methods and their applications in image science. Commun Math Sci 1 4 (2003) 623-656
    • (2003) Commun Math Sci , vol.1 , Issue.4 , pp. 623-656
    • Tsai, Y.-H.1    Osher, S.2
  • 97
    • 0028738762 scopus 로고    scopus 로고
    • Tsitsiklis J. Efficient algorithms for globally optimal trajectories. In Proceedings of the 33rd Conference on Decision and Control, 1994. p. 1368-73.
  • 98
    • 0029373106 scopus 로고
    • Efficient algorithms for globally optimal trajectories
    • Tsitsiklis J. Efficient algorithms for globally optimal trajectories. IEEE Trans Automat Control 40 (1995) 1528-1538
    • (1995) IEEE Trans Automat Control , vol.40 , pp. 1528-1538
    • Tsitsiklis, J.1
  • 99
    • 3242694679 scopus 로고
    • A front-tracking method for viscous, incompressible, multifluid flows
    • Unverdi S.O., and Tryggvason G. A front-tracking method for viscous, incompressible, multifluid flows. J Comput Phys 100 (1992) 25-37
    • (1992) J Comput Phys , vol.100 , pp. 25-37
    • Unverdi, S.O.1    Tryggvason, G.2
  • 100
    • 0242414725 scopus 로고    scopus 로고
    • Vector level sets for description of propagating cracks in finite elements
    • Ventura G., Budyn E., and Belytschko T. Vector level sets for description of propagating cracks in finite elements. Int J Numer Meth Eng 58 (2003) 1571-1592
    • (2003) Int J Numer Meth Eng , vol.58 , pp. 1571-1592
    • Ventura, G.1    Budyn, E.2    Belytschko, T.3
  • 101
    • 78650974785 scopus 로고    scopus 로고
    • The tar monster: creating a character with fluid simulation
    • ACM Press
    • Wiebe M., and Houston B. The tar monster: creating a character with fluid simulation. SIGGRAPH 2004 sketches & applications (2004), ACM Press
    • (2004) SIGGRAPH 2004 sketches & applications
    • Wiebe, M.1    Houston, B.2
  • 103
    • 0036501532 scopus 로고    scopus 로고
    • A fully global approach to image segmentation via coupled curve evolution equations
    • Yezzi A., Tsai A., and Willsky A. A fully global approach to image segmentation via coupled curve evolution equations. J Vis Commun Image Represent 13 (2002) 195-216
    • (2002) J Vis Commun Image Represent , vol.13 , pp. 195-216
    • Yezzi, A.1    Tsai, A.2    Willsky, A.3
  • 105
    • 0030210970 scopus 로고    scopus 로고
    • A variational level set approach to multiphase motion
    • Zhao H.-K., Chan T., Merriman B., and Osher S. A variational level set approach to multiphase motion. J Comput Phys 127 (1996) 179-195
    • (1996) J Comput Phys , vol.127 , pp. 179-195
    • Zhao, H.-K.1    Chan, T.2    Merriman, B.3    Osher, S.4


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