-
3
-
-
85189851247
-
Conservative multigrid methods for ternary Cahn-Hilliard fluids
-
(in review)
-
J.-S. Kim, K. Kang, J. Lowengrub, Conservative multigrid methods for ternary Cahn-Hilliard fluids, Comm. Math. Sci. (in review).
-
Comm. Math. Sci.
-
-
Kim, J.-S.1
Kang, K.2
Lowengrub, J.3
-
4
-
-
0035276946
-
A phase field model for highly anisotropic interfacial energy
-
J.J. Eggleston, G.B. McFadden, P.W. Voorhees, A phase field model for highly anisotropic interfacial energy, Phys. D 150 (2001) 91.
-
(2001)
Phys. D
, vol.150
, pp. 91
-
-
Eggleston, J.J.1
McFadden, G.B.2
Voorhees, P.W.3
-
5
-
-
0002521331
-
Calculation of two-phase Navier-Stokes flows using phase-field modeling
-
D. Jacqmin, Calculation of two-phase Navier-Stokes flows using phase-field modeling, J. Comput. Phys. 155 (1999) 96.
-
(1999)
J. Comput. Phys.
, vol.155
, pp. 96
-
-
Jacqmin, D.1
-
6
-
-
0030413267
-
Investigations of a two-phase fluid model
-
B. Nadiga, S. Zaleski, Investigations of a two-phase fluid model, Eur. J. Mech. B/Fluids 15 (1996) 885.
-
(1996)
Eur. J. Mech. B/Fluids
, vol.15
, pp. 885
-
-
Nadiga, B.1
Zaleski, S.2
-
7
-
-
85189849847
-
A study of pinchoff and reconnection of an unstably stratified fluid layer
-
M.S. Thesis, Department of Aerospace and Mechanics, University of Minnesota
-
J. Hageman, A study of pinchoff and reconnection of an unstably stratified fluid layer, M.S. Thesis, Department of Aerospace and Mechanics, University of Minnesota, 1999.
-
(1999)
-
-
Hageman, J.1
-
8
-
-
0007187243
-
Topological Transitions in Liquid/Liquid Interfaces
-
Chapman & Hall/CRC Res. Notes Math
-
J. Lowengrub, J. Goodman, H. Lee, E. Longmire, M. Shelley, L. Truskinovsky, Topological Transitions in Liquid/Liquid Interfaces, Chapman & Hall/CRC Res. Notes Math, 1999, p. 221.
-
(1999)
, pp. 221
-
-
Lowengrub, J.1
Goodman, J.2
Lee, H.3
Longmire, E.4
Shelley, M.5
Truskinovsky, L.6
-
9
-
-
85189846106
-
A comparison of experiments and simulations on pinch-off in round jets
-
Proceedings of the 1999 ASME/JSME Meeting, San Francisco
-
E.K. Longmire, J. Lowengrub, D.L. Gefroh, A comparison of experiments and simulations on pinch-off in round jets, in: Proceedings of the 1999 ASME/JSME Meeting, San Francisco.
-
-
-
Longmire, E.K.1
Lowengrub, J.2
Gefroh, D.L.3
-
10
-
-
0029673822
-
Coarse-grained description of thermocapillary flows
-
D. Jasnow, J. Vinals, Coarse-grained description of thermocapillary flows, Phys. Fluids 8 (1996) 660.
-
(1996)
Phys. Fluids
, vol.8
, pp. 660
-
-
Jasnow, D.1
Vinals, J.2
-
11
-
-
0035837344
-
Diffuse-interface modeling of thermocapillary flow instabilities in a Hele-Shaw cell
-
M. Vershueren, F.N. vande Vosse, H.E.H. Meijer, Diffuse-interface modeling of thermocapillary flow instabilities in a Hele-Shaw cell, J. Fluid Mech. 434 (2001) 153.
-
(2001)
J. Fluid Mech.
, vol.434
, pp. 153
-
-
Vershueren, M.1
vande Vosse, F.N.2
Meijer, H.E.H.3
-
12
-
-
0000808774
-
Mixing of a two-phase fluid by cavity flow
-
R. Chella, J. Vinals, Mixing of a two-phase fluid by cavity flow, Phys. Rev. E 53 (1996) 3832.
-
(1996)
Phys. Rev. E
, vol.53
, pp. 3832
-
-
Chella, R.1
Vinals, J.2
-
13
-
-
0033909679
-
Contact line dynamics of a diffuse interface
-
D. Jacqmin, Contact line dynamics of a diffuse interface, J. Fluid Mech. 402 (2000) 57.
-
(2000)
J. Fluid Mech.
, vol.402
, pp. 57
-
-
Jacqmin, D.1
-
14
-
-
0001395395
-
Moving contact lines in the Cahn-Hilliard theory
-
P. Seppecher, Moving contact lines in the Cahn-Hilliard theory, Int. J. Eng. Sci. 34 (1996) 977.
-
(1996)
Int. J. Eng. Sci.
, vol.34
, pp. 977
-
-
Seppecher, P.1
-
15
-
-
0030804661
-
A diffuse-interface description of internal waves in a near critical fluid
-
D. Anderson, G.B. McFadden, A diffuse-interface description of internal waves in a near critical fluid, Phys. Fluids 9 (1997) 1870.
-
(1997)
Phys. Fluids
, vol.9
, pp. 1870
-
-
Anderson, D.1
McFadden, G.B.2
-
16
-
-
0008295805
-
Note on capillary waves in the gradient theory of interfaces
-
L. de Sobrino, Note on capillary waves in the gradient theory of interfaces, Can. J. Phys. 63 (1985) 1132.
-
(1985)
Can. J. Phys.
, vol.63
, pp. 1132
-
-
de Sobrino, L.1
-
17
-
-
0022011962
-
On capillary waves in the gradient theory of interfaces
-
L. de Sobrino, J. Peternelj, On capillary waves in the gradient theory of interfaces, Can. J. Phys. 63 (1985) 131.
-
(1985)
Can. J. Phys.
, vol.63
, pp. 131
-
-
de Sobrino, L.1
Peternelj, J.2
-
18
-
-
0347216737
-
A diffuse interface model for structure development in flow
-
Ph.D. Thesis, Technische Universiteit Eindhoven, the Netherlands
-
M. Verschueren, A diffuse interface model for structure development in flow, Ph.D. Thesis, Technische Universiteit Eindhoven, the Netherlands, 1999.
-
(1999)
-
-
Verschueren, M.1
-
19
-
-
85189846424
-
Surface tension in a reactive binary mixture of incompressible fluids
-
IMA preprint 1708
-
H. Struchtrup, J.W. Dold, Surface tension in a reactive binary mixture of incompressible fluids, IMA preprint 1708, 2000.
-
(2000)
-
-
Struchtrup, H.1
Dold, J.W.2
-
20
-
-
0029765036
-
Radius and surface tension of microscopic bubbles by second gradient theory
-
F. Dell'Isola, H. Gouin, G. Rotoli, Radius and surface tension of microscopic bubbles by second gradient theory, Eur. J. Mech. B/Fluids 15 (1996) 545.
-
(1996)
Eur. J. Mech. B/Fluids
, vol.15
, pp. 545
-
-
Dell'Isola, F.1
Gouin, H.2
Rotoli, G.3
-
21
-
-
0012889548
-
Nucleation of spherical shell-like interfaces by second gradient theory: Numerical simulations
-
F. Dell'Isola, H. Gouin, P. Seppecher, Nucleation of spherical shell-like interfaces by second gradient theory: numerical simulations, C.R. Acad. Sci. Paris 320 (1995) 211.
-
(1995)
C.R. Acad. Sci. Paris
, vol.320
, pp. 211
-
-
Dell'Isola, F.1
Gouin, H.2
Seppecher, P.3
-
22
-
-
0001575645
-
Two-phase binary fluids and immiscible fluids described by an order parameter
-
M.E. Gurtin, D. Polignone, J. Vinals, Two-phase binary fluids and immiscible fluids described by an order parameter, Math. Models Methods Appl. Sci. 6 (1996) 815.
-
(1996)
Math. Models Methods Appl. Sci.
, vol.6
, pp. 815
-
-
Gurtin, M.E.1
Polignone, D.2
Vinals, J.3
-
23
-
-
85189845511
-
On the pinchoff of liquid/liquid jets with surface tension
-
in preparation
-
J.-S. Kim, J. Lowengrub, On the pinchoff of liquid/liquid jets with surface tension, in preparation.
-
-
-
Kim, J.-S.1
Lowengrub, J.2
-
25
-
-
0000135764
-
Accurate projection methods for the incompressible Navier-Stokes equations
-
D. Brown, R. Cortez, M. Minion, Accurate projection methods for the incompressible Navier-Stokes equations, J. Comput. Phys. 168 (2001) 168.
-
(2001)
J. Comput. Phys.
, vol.168
, pp. 168
-
-
Brown, D.1
Cortez, R.2
Minion, M.3
-
26
-
-
43449102981
-
On spinodal decomposition
-
J.W. Cahn, On spinodal decomposition, Acta Metall. 9 (1961) 795.
-
(1961)
Acta Metall.
, vol.9
, pp. 795
-
-
Cahn, J.W.1
-
27
-
-
0000310338
-
A numerical method for the incompressible Navier-Stokes equations based on an approximate projection
-
A.S. Almgren, J.B. Bell, W.G. Szymczak, A numerical method for the incompressible Navier-Stokes equations based on an approximate projection, SIAM J. Sci. Comput. 17 (2) (1996) 358.
-
(1996)
SIAM J. Sci. Comput.
, vol.17
, Issue.2
, pp. 358
-
-
Almgren, A.S.1
Bell, J.B.2
Szymczak, W.G.3
-
28
-
-
0008688174
-
A conservative adaptive projection method for the variable density incompressible Navier-Stokes equations
-
A.S. Almgren, J.B. Bell, P. Colella, L.H. Howell, M.L. Welcome, A conservative adaptive projection method for the variable density incompressible Navier-Stokes equations, J. Comput. Phys. 142 (1) (1998) 1.
-
(1998)
J. Comput. Phys.
, vol.142
, Issue.1
, pp. 1
-
-
Almgren, A.S.1
Bell, J.B.2
Colella, P.3
Howell, L.H.4
Welcome, M.L.5
-
29
-
-
0031500465
-
Finite element approximation of a model for phase separation of a multi-component alloy with non-smooth free energy
-
J.W. Barrett, J.F. Blowey, Finite element approximation of a model for phase separation of a multi-component alloy with non-smooth free energy, Numer. Math. 77 (1) (1997) 1.
-
(1997)
Numer. Math.
, vol.77
, Issue.1
, pp. 1
-
-
Barrett, J.W.1
Blowey, J.F.2
-
30
-
-
0033450285
-
Finite element approximation of the Cahn-Hilliard equation with concentration dependent mobility
-
J.W. Barrett, J.F. Blowey, Finite element approximation of the Cahn-Hilliard equation with concentration dependent mobility, Math. Comp. 68 (226) (1999) 487.
-
(1999)
Math. Comp.
, vol.68
, Issue.226
, pp. 487
-
-
Barrett, J.W.1
Blowey, J.F.2
-
31
-
-
0033467226
-
An optimal error bound for a finite element approximation of a model for phase separation of a multi-component alloy with non-smooth free energy
-
J.W. Barrett, J.F. Blowey, An optimal error bound for a finite element approximation of a model for phase separation of a multi-component alloy with non-smooth free energy, M2AN Math. Model. Numer. Anal. 33 (5) (1999) 971.
-
(1999)
M2AN Math. Model. Numer. Anal.
, vol.33
, Issue.5
, pp. 971
-
-
Barrett, J.W.1
Blowey, J.F.2
-
32
-
-
0007425693
-
Finite element approximation of the Cahn-Hilliard equation with degenerate mobility
-
J.W. Barrett, J.F. Blowey, H. Garcke, Finite element approximation of the Cahn-Hilliard equation with degenerate mobility, SIAM J. Numer. Anal. 37 (1) (1999) 286.
-
(1999)
SIAM J. Numer. Anal.
, vol.37
, Issue.1
, pp. 286
-
-
Barrett, J.W.1
Blowey, J.F.2
Garcke, H.3
-
33
-
-
19744365099
-
The Cahn-Hilliard equation with elasticity: Finite element approximation and quantitative studies
-
(in press)
-
H. Garcke, M. Rumpf, U. Weikard, The Cahn-Hilliard equation with elasticity: Finite element approximation and quantitative studies, Int. Free Bound. (in press).
-
Int. Free Bound.
-
-
Garcke, H.1
Rumpf, M.2
Weikard, U.3
-
34
-
-
0036101445
-
Finite element approximation of an Allen-Cahn/Cahn-Hilliard system
-
J.W. Barrett, J.F. Blowey, Finite element approximation of an Allen-Cahn/Cahn-Hilliard system, IMA J. Numer. Anal. 22 (1) (2002) 11.
-
(2002)
IMA J. Numer. Anal.
, vol.22
, Issue.1
, pp. 11
-
-
Barrett, J.W.1
Blowey, J.F.2
-
35
-
-
33746012315
-
Free energy of a nonuniform system. I. Interfacial free energy
-
J.W. Cahn, J.E. Hilliard, Free energy of a nonuniform system. I. Interfacial free energy, J. Chem. Phys. 28 (1958) 258.
-
(1958)
J. Chem. Phys.
, vol.28
, pp. 258
-
-
Cahn, J.W.1
Hilliard, J.E.2
-
36
-
-
0345982632
-
Numerical experiments of phase separation in ternary mixtures
-
M. Copetti, Numerical experiments of phase separation in ternary mixtures, Math. Comput. Simulation 52 (1) (2000) 41.
-
(2000)
Math. Comput. Simulation
, vol.52
, Issue.1
, pp. 41
-
-
Copetti, M.1
-
37
-
-
0025404531
-
Kinetics of phase decomposition processes: Numerical solutions to the Cahn-Hilliard equation
-
M. Copetti, C.M. Elliot, Kinetics of phase decomposition processes: numerical solutions to the Cahn-Hilliard equation, Mater. Sci. Technol. 6 (1990) 273.
-
(1990)
Mater. Sci. Technol.
, vol.6
, pp. 273
-
-
Copetti, M.1
Elliot, C.M.2
-
38
-
-
0002429428
-
The Cahn-Hilliard model for the kinetics of phase separation
-
J. Rodrigues (Ed.), Birkhäuser, Basel
-
C. Elliott, The Cahn-Hilliard model for the kinetics of phase separation, in: J. Rodrigues (Ed.), Mathematical Models for Phase Change Problems, International Series of Numeical Mathematics, 88, Birkhäuser, Basel, 1989.
-
(1989)
Mathematical Models for Phase Change Problems, International Series of Numerical Mathematics
, pp. 88
-
-
Elliott, C.1
-
39
-
-
0001617217
-
Numerical studies of the Cahn-Hilliard equation for phase separation
-
C. Elliott, D. French, Numerical studies of the Cahn-Hilliard equation for phase separation, IMA J. Appl. Math. 38 (1987) 97.
-
(1987)
IMA J. Appl. Math.
, vol.38
, pp. 97
-
-
Elliott, C.1
French, D.2
-
40
-
-
84968516048
-
Stig. Larsson, Error estimates with smooth and nonsmooth data for a finite element method for the Cahn-Hilliard equation
-
S33
-
C.M. Elliott, Stig. Larsson, Error estimates with smooth and nonsmooth data for a finite element method for the Cahn-Hilliard equation, Math. Comp. 58 (198) 603; S33 (1992).
-
(1992)
Math. Comp.
, vol.58
, Issue.198
, pp. 603
-
-
Elliott, C.M.1
-
41
-
-
0000662072
-
A nonconforming finite-element method for the two-dimensional Cahn-Hilliard equation
-
C.M. Elliott, D.A. French, A nonconforming finite-element method for the two-dimensional Cahn-Hilliard equation, SIAM J. Numer. Anal. 26 (4) (1989) 884.
-
(1989)
SIAM J. Numer. Anal.
, vol.26
, Issue.4
, pp. 884
-
-
Elliott, C.M.1
French, D.A.2
-
42
-
-
0001475208
-
A second order splitting method for the Cahn-Hilliard equation
-
C. Elliott, D. French, F. Milner, A second order splitting method for the Cahn-Hilliard equation, Numer. Math. 54 (1989) 575.
-
(1989)
Numer. Math.
, vol.54
, pp. 575
-
-
Elliott, C.1
French, D.2
Milner, F.3
-
43
-
-
0027839918
-
Systems for Cahn-Hilliard equations
-
D.J. Eyre, Systems for Cahn-Hilliard equations, SIAM J. Appl. Math. 53 (1993) 1686.
-
(1993)
SIAM J. Appl. Math.
, vol.53
, pp. 1686
-
-
Eyre, D.J.1
-
44
-
-
0001965943
-
Continuous finite element methods which preserve energy properties for nonlinear problems
-
D.A. French, J.W. Schaeffer, Continuous finite element methods which preserve energy properties for nonlinear problems, Appl. Math. Comput. 39 (3) (1990) 271.
-
(1990)
Appl. Math. Comput.
, vol.39
, Issue.3
, pp. 271
-
-
French, D.A.1
Schaeffer, J.W.2
-
45
-
-
0001193685
-
α δG/δu that inherit energy conservation or dissipation property
-
α δG/δu that inherit energy conservation or dissipation property, J. Comput. Phys. 156 (1999) 181.
-
(1999)
J. Comput. Phys.
, vol.156
, pp. 181
-
-
Furihata, D.1
-
46
-
-
0041079077
-
Daisuke A stable and conservative finite difference scheme for the Cahn-Hilliard equation
-
D. Furihata, Daisuke A stable and conservative finite difference scheme for the Cahn-Hilliard equation, Numer. Math. 87 (4) (2001) 675.
-
(2001)
Numer. Math.
, vol.87
, Issue.4
, pp. 675
-
-
Furihata, D.1
-
47
-
-
0036469249
-
Modeling pinchoff and reconnection in a Hele-Shaw cell. I. The models and their calibration
-
H.Y. Lee, J. Lowengrub, J. Goodman, Modeling pinchoff and reconnection in a Hele-Shaw cell. I. The models and their calibration, Phys. Fluids 14 (2) (2002) 492.
-
(2002)
Phys. Fluids
, vol.14
, Issue.2
, pp. 492
-
-
Lee, H.Y.1
Lowengrub, J.2
Goodman, J.3
-
48
-
-
0036470321
-
Modeling pinchoff and reconnection in a Hele-Shaw cell. II. Analysis and simulation in the nonlinear regime
-
H.Y. Lee, J. Lowengrub, J. Goodman, Modeling pinchoff and reconnection in a Hele-Shaw cell. II. Analysis and simulation in the nonlinear regime, Phys. Fluids 14 (2) (2002) 514.
-
(2002)
Phys. Fluids
, vol.14
, Issue.2
, pp. 514
-
-
Lee, H.Y.1
Lowengrub, J.2
Goodman, J.3
-
49
-
-
0000037930
-
A cell-centered adaptive projection method for the incompressible Euler equations
-
F. Daniel Martin, Phillip Colella, A cell-centered adaptive projection method for the incompressible Euler equations, J. Comput. Phys. 163 (2000) 271.
-
(2000)
J. Comput. Phys.
, vol.163
, pp. 271
-
-
Daniel Martin, F.1
Colella, P.2
-
50
-
-
21844485652
-
A second-order accurate linearized difference scheme for the two-dimensional Cahn-Hilliard equation
-
Z.Z. Sun, A second-order accurate linearized difference scheme for the two-dimensional Cahn-Hilliard equation, Math. Comp. 64 (212) (1995) 1463.
-
(1995)
Math. Comp.
, vol.64
, Issue.212
, pp. 1463
-
-
Sun, Z.Z.1
-
51
-
-
0003424544
-
Infinite Dimensional Dynamical Systems in Mechanics and Physics
-
Springer, New York
-
R. Temam, Infinite Dimensional Dynamical Systems in Mechanics and Physics, Springer, New York, 1988.
-
(1988)
-
-
Temam, R.1
-
52
-
-
0000517616
-
On the instability of a cylindrical thread of a viscous liquid surrounded by another viscous fluid
-
Tomotika
-
Tomotika, On the instability of a cylindrical thread of a viscous liquid surrounded by another viscous fluid, Proc. Roy. Soc. A 150 (1935) 322.
-
(1935)
Proc. Roy. Soc. A
, vol.150
, pp. 322
-
-
-
53
-
-
85189846813
-
-
MULTIGRID, Academic Press, New York
-
U. Trottenberg, C. Oosterlee, A. Schüller, MULTIGRID, Academic Press, New York, 2001.
-
(2001)
-
-
Trottenberg, U.1
Oosterlee, C.2
Schüller, A.3
-
54
-
-
84972948188
-
Asymptotic behavior of the solution to the Cahn-Hilliard equation
-
S. Zheng, Asymptotic behavior of the solution to the Cahn-Hilliard equation, Appl. Anal. 23 (1986) 165.
-
(1986)
Appl. Anal.
, vol.23
, pp. 165
-
-
Zheng, S.1
-
55
-
-
0000653947
-
Level set methods: An overview and some recent results
-
S. Osher, R. Fedkiw, Level set methods: An overview and some recent results, J. Comput. Phys. 169 (2001) 463.
-
(2001)
J. Comput. Phys.
, vol.169
, pp. 463
-
-
Osher, S.1
Fedkiw, R.2
-
57
-
-
0033489545
-
Direct numerical simulation of free surface and interfacial flow
-
R. Scardovelli, S. Zaleski, Direct numerical simulation of free surface and interfacial flow, Ann. Rev. Fluid Mech. 31 (1999) 576.
-
(1999)
Ann. Rev. Fluid Mech.
, vol.31
, pp. 576
-
-
Scardovelli, R.1
Zaleski, S.2
-
58
-
-
0001957869
-
An adaptive level set approach for incompressible two-phase flows
-
M. Sussman, A. Almgren, J. Bell, P. Collela, L. Howell, M. Welcome, An adaptive level set approach for incompressible two-phase flows, J. Comput. Phys. 148 (1999) 81.
-
(1999)
J. Comput. Phys.
, vol.148
, pp. 81
-
-
Sussman, M.1
Almgren, A.2
Bell, J.3
Collela, P.4
Howell, L.5
Welcome, M.6
-
59
-
-
85189846154
-
An algorithm for adaptive remeshing of 2D and 3D domains: Application to the level-set method
-
in preparation
-
V. Cristini, J. Lowengrub, X. Zheng and T. Anderson, An algorithm for adaptive remeshing of 2D and 3D domains: Application to the level-set method, in preparation.
-
-
-
Cristini, V.1
Lowengrub, J.2
Zheng, X.3
Anderson, T.4
|