-
1
-
-
0037246341
-
The immersed interface/multigrid methods for interface problems
-
Adams L., and Li Z. The immersed interface/multigrid methods for interface problems. SIAM J. Sci. Comput. 24 (2002) 463-479
-
(2002)
SIAM J. Sci. Comput.
, vol.24
, pp. 463-479
-
-
Adams, L.1
Li, Z.2
-
2
-
-
6344294946
-
New geometric immersed interface multigrid solvers
-
Adams L., and Chartier T.P. New geometric immersed interface multigrid solvers. SIAM J. Sci. Comput. 25 (2004) 1516-1533
-
(2004)
SIAM J. Sci. Comput.
, vol.25
, pp. 1516-1533
-
-
Adams, L.1
Chartier, T.P.2
-
3
-
-
0031215973
-
A Cartesian grid projection method for the incompressible Euler equations in complex geometries
-
Almgren A.N., Bell J.B., Colella P., and Marthaler T. A Cartesian grid projection method for the incompressible Euler equations in complex geometries. SIAM J. Sci. Comput. 18 (1997) 1289-1309
-
(1997)
SIAM J. Sci. Comput.
, vol.18
, pp. 1289-1309
-
-
Almgren, A.N.1
Bell, J.B.2
Colella, P.3
Marthaler, T.4
-
4
-
-
0026841035
-
Analysis of a one-dimensional model for the immersed boundary method
-
Beyer R.P., and LeVeque R.J. Analysis of a one-dimensional model for the immersed boundary method. SIAM J. Numer. Anal. 29 (1992) 332-364
-
(1992)
SIAM J. Numer. Anal.
, vol.29
, pp. 332-364
-
-
Beyer, R.P.1
LeVeque, R.J.2
-
5
-
-
0036501622
-
A Cartesian grid method for solving the two-dimensional streamfunction-vorticity equations in irregular regions
-
Calhoun D. A Cartesian grid method for solving the two-dimensional streamfunction-vorticity equations in irregular regions. J. Comput. Phys. 176 (2002) 231-275
-
(2002)
J. Comput. Phys.
, vol.176
, pp. 231-275
-
-
Calhoun, D.1
-
6
-
-
0030584607
-
A level set formulation of Eulerian interface capturing methods for incompressible fluid flows
-
Chang Y.C., Hou T.Y., Merriman B., and Osher S. A level set formulation of Eulerian interface capturing methods for incompressible fluid flows. J. Comput. Phys. 124 (1996) 449-464
-
(1996)
J. Comput. Phys.
, vol.124
, pp. 449-464
-
-
Chang, Y.C.1
Hou, T.Y.2
Merriman, B.3
Osher, S.4
-
7
-
-
0037285958
-
Three-dimensional elliptic solvers for interface problems and applications
-
Deng S., Ito K., and Li Z. Three-dimensional elliptic solvers for interface problems and applications. J. Comput. Phys. 184 (2003) 215-243
-
(2003)
J. Comput. Phys.
, vol.184
, pp. 215-243
-
-
Deng, S.1
Ito, K.2
Li, Z.3
-
8
-
-
1842511702
-
An immersed interface method for solving anisotropic elliptic boundary value problems in three dimensions
-
Dumett M.A., and Keener J.P. An immersed interface method for solving anisotropic elliptic boundary value problems in three dimensions. SIAM J. Sci. Comput. 25 (2003) 348-367
-
(2003)
SIAM J. Sci. Comput.
, vol.25
, pp. 348-367
-
-
Dumett, M.A.1
Keener, J.P.2
-
9
-
-
18344388470
-
Discretization of Dirac delta function in level set methods
-
Engquist B., Tornberg A.-K., and Tsai R. Discretization of Dirac delta function in level set methods. J. Comput. Phys. 207 (2005) 28-51
-
(2005)
J. Comput. Phys.
, vol.207
, pp. 28-51
-
-
Engquist, B.1
Tornberg, A.-K.2
Tsai, R.3
-
10
-
-
0346837922
-
A non-oscillatory Eulerian approach to interface in multimaterial flows (the Ghost Fluid Method)
-
Fedkiw R.P., Aslam T., Merriman B., and Osher S. A non-oscillatory Eulerian approach to interface 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.P.1
Aslam, T.2
Merriman, B.3
Osher, S.4
-
12
-
-
0034775815
-
Immersed interface methods for Neumann and related problems in two and three dimensions
-
Fogelson A.L., and Keener J.P. Immersed interface methods for Neumann and related problems in two and three dimensions. SIAM J. Sci. Comput. 22 (2000) 1630-1654
-
(2000)
SIAM J. Sci. Comput.
, vol.22
, pp. 1630-1654
-
-
Fogelson, A.L.1
Keener, J.P.2
-
13
-
-
10244220985
-
A fourth order accurate discretization for the Laplace and heat equations on arbitrary domain with applications to the Stefan problem
-
Gibou F., and Fedkiw R. A fourth order accurate discretization for the Laplace and heat equations on arbitrary domain 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
-
14
-
-
0001661244
-
A critical analysis of Rayleigh-Taylor growth rates
-
Glimm J., et al. A critical analysis of Rayleigh-Taylor growth rates. J. Comput. Phys. 169 (2001) 652-677
-
(2001)
J. Comput. Phys.
, vol.169
, pp. 652-677
-
-
Glimm, J.1
-
15
-
-
19044361846
-
On the order of accuracy of the immersed boundary method: Higher order convergence rates for sufficiently smooth problems
-
Griffith B.E., and Peskin C.S. On the order of accuracy of the immersed boundary method: Higher order convergence rates for sufficiently smooth problems. J. Comput. Phys. 208 (2005) 75-105
-
(2005)
J. Comput. Phys.
, vol.208
, pp. 75-105
-
-
Griffith, B.E.1
Peskin, C.S.2
-
16
-
-
0000686802
-
A numerical method for solving incompressible flow problems with a surface of discontinuity
-
Helenbrook B.T., Martinelli L., and Law C.K. A numerical method for solving incompressible flow problems with a surface of discontinuity. J. Comput. Phys. 148 (1999) 366-396
-
(1999)
J. Comput. Phys.
, vol.148
, pp. 366-396
-
-
Helenbrook, B.T.1
Martinelli, L.2
Law, C.K.3
-
17
-
-
0031185285
-
A hybrid method for moving interface problems with application to the Hele-Shaw flow
-
Hou T.Y., Li Z., Osher S., and Zhao H. A hybrid method for moving interface problems with application to the Hele-Shaw flow. J. Comput. Phys. 134 (1997) 236-252
-
(1997)
J. Comput. Phys.
, vol.134
, pp. 236-252
-
-
Hou, T.Y.1
Li, Z.2
Osher, S.3
Zhao, H.4
-
18
-
-
0033239108
-
Convergence analysis of the immersed interface method
-
Huang H., and Li Z. Convergence analysis of the immersed interface method. IMA J. Numer. Anal. 19 (1999) 583-608
-
(1999)
IMA J. Numer. Anal.
, vol.19
, pp. 583-608
-
-
Huang, H.1
Li, Z.2
-
19
-
-
85189852602
-
-
K. Ito, Z. Li, Solving a nonlinear problem in magneto-rheological fluids using the immersed interface method 19 (2003) 253-266.
-
-
-
-
20
-
-
0001827481
-
A Cartesian grid embedded boundary method for Poisson's equation on irregular domains
-
Johansen H., and Colella P. A Cartesian grid embedded boundary method for Poisson's equation on irregular domains. J. Comput. Phys. 147 (1998) 60-85
-
(1998)
J. Comput. Phys.
, vol.147
, pp. 60-85
-
-
Johansen, H.1
Colella, P.2
-
21
-
-
0034260316
-
A boundary condition capturing method for multiphase incompressible flow
-
Kang M., Fedkiw R.P., 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.P.2
Liu, X.-D.3
-
22
-
-
0000868581
-
An immersed boundary method with formal second-order accuracy and reduced numerical viscosity
-
Lai M.-C., and Peskin C.S. An immersed boundary method with formal second-order accuracy and reduced numerical viscosity. J. Comput. Phys. 160 (2000) 705-719
-
(2000)
J. Comput. Phys.
, vol.160
, pp. 705-719
-
-
Lai, M.-C.1
Peskin, C.S.2
-
23
-
-
2942543066
-
An immersed interface method for incompressible Navier-Stokes equations
-
Lee L., and LeVeque R.J. An immersed interface method for incompressible Navier-Stokes equations. SIAM J. Sci. Comput. 25 (2003) 832-856
-
(2003)
SIAM J. Sci. Comput.
, vol.25
, pp. 832-856
-
-
Lee, L.1
LeVeque, R.J.2
-
24
-
-
0028485385
-
The immersed interface method for elliptic equations with discontinuous coefficients and singular sources
-
LeVeque R.J., and Li Z. The immersed interface method for elliptic equations with discontinuous coefficients and singular sources. SIAM J. Numer. Anal. 31 (1994) 1001-1025
-
(1994)
SIAM J. Numer. Anal.
, vol.31
, pp. 1001-1025
-
-
LeVeque, R.J.1
Li, Z.2
-
25
-
-
0031129202
-
Immersed interface methods for Stokes flow with elastic boundaries or surface tension
-
LeVeque R., and Li Z. Immersed interface methods for Stokes flow with elastic boundaries or surface tension. SIAM J. Sci. Comput. 18 (1997) 709-735
-
(1997)
SIAM J. Sci. Comput.
, vol.18
, pp. 709-735
-
-
LeVeque, R.1
Li, Z.2
-
26
-
-
0031532284
-
Immersed interface methods for moving interface problem
-
Li Z. Immersed interface methods for moving interface problem. Numer. Algorithms 14 (1997) 269-293
-
(1997)
Numer. Algorithms
, vol.14
, pp. 269-293
-
-
Li, Z.1
-
27
-
-
0000641836
-
A fast iterative algorithm for elliptic interface problems
-
Li Z. A fast iterative algorithm for elliptic interface problems. SIAM J. Numer. Anal. 35 (1998) 230-254
-
(1998)
SIAM J. Numer. Anal.
, vol.35
, pp. 230-254
-
-
Li, Z.1
-
28
-
-
0036208213
-
Maximum principle preserving schemes for interface problems with discontinuous coefficients
-
Li Z., and Ito K. Maximum principle preserving schemes for interface problems with discontinuous coefficients. SIAM J. Sci. Comput. 23 (2001) 339-361
-
(2001)
SIAM J. Sci. Comput.
, vol.23
, pp. 339-361
-
-
Li, Z.1
Ito, K.2
-
29
-
-
0001439074
-
The immersed interface method for the Navier-Stokes equations with singular forces
-
Li Z., and Lai M.-C. The immersed interface method for the Navier-Stokes equations with singular forces. J. Comput. Phys. 171 (2001) 822-842
-
(2001)
J. Comput. Phys.
, vol.171
, pp. 822-842
-
-
Li, Z.1
Lai, M.-C.2
-
30
-
-
0000140083
-
Drop and spray formation from a liquid jet
-
Lin S.P., and Reitz R.D. Drop and spray formation from a liquid jet. Ann. Rev. Fluid Mech. 30 (1998) 85-105
-
(1998)
Ann. Rev. Fluid Mech.
, vol.30
, pp. 85-105
-
-
Lin, S.P.1
Reitz, R.D.2
-
31
-
-
14544280218
-
A high-order immersed interface method for simulating unsteady incompressible flows on irregular domains
-
Linnick M.N., and Hermann F.F. A high-order immersed interface method for simulating unsteady incompressible flows on irregular domains. J. Comput. Phys. 204 (2004) 157-192
-
(2004)
J. Comput. Phys.
, vol.204
, pp. 157-192
-
-
Linnick, M.N.1
Hermann, F.F.2
-
32
-
-
1642264281
-
Numerical treatment of two-dimensional interfaces for acoustic and elastic waves
-
Lombard B., and Piraux J. Numerical treatment of two-dimensional interfaces for acoustic and elastic waves. J. Comput. Phys. 195 (2004) 90-116
-
(2004)
J. Comput. Phys.
, vol.195
, pp. 90-116
-
-
Lombard, B.1
Piraux, J.2
-
33
-
-
0035505590
-
A Cartesian grid embedded boundary method for the heat equation on irregular domains
-
McCorquodale P., Colella P., and Johansen H. A Cartesian grid embedded boundary method for the heat equation on irregular domains. J. Comput. Phys. 173 (2001) 620-635
-
(2001)
J. Comput. Phys.
, vol.173
, pp. 620-635
-
-
McCorquodale, P.1
Colella, P.2
Johansen, H.3
-
34
-
-
0021417514
-
The fast solution of Poisson's and biharmonic equations on irregular regions
-
Mayo A. The fast solution of Poisson's and biharmonic equations on irregular regions. SIAM J. Numer. Anal. 21 (1984) 285-299
-
(1984)
SIAM J. Numer. Anal.
, vol.21
, pp. 285-299
-
-
Mayo, A.1
-
35
-
-
0000653947
-
Level set methods: an overview and some recent results
-
Osher S., and Fedkiw R. Level set methods: an overview and some recent results. J. Comput. Phys. 169 (2001) 463-502
-
(2001)
J. Comput. Phys.
, vol.169
, pp. 463-502
-
-
Osher, S.1
Fedkiw, R.2
-
37
-
-
33751544551
-
The immersed boundary method
-
Peskin C. The immersed boundary method. Acta Numer. (2002) 479-517
-
(2002)
Acta Numer.
, pp. 479-517
-
-
Peskin, C.1
-
38
-
-
0042323064
-
A new interface method for hyperbolic problems with discontinuous coefficients: one-dimensional acoustic example
-
Piraux J., and Lombard B. A new interface method for hyperbolic problems with discontinuous coefficients: one-dimensional acoustic example. J. Comput. Phys. 168 (2001) 227-248
-
(2001)
J. Comput. Phys.
, vol.168
, pp. 227-248
-
-
Piraux, J.1
Lombard, B.2
-
39
-
-
0000736524
-
Interfacial dynamics for Stokes flow
-
Pozrikidis C. Interfacial dynamics for Stokes flow. J. Comput. Phys. 169 (2001) 250-301
-
(2001)
J. Comput. Phys.
, vol.169
, pp. 250-301
-
-
Pozrikidis, C.1
-
40
-
-
0141459172
-
A Cartesian grid method for modeling multiple moving objects in 2D incompressible viscous flow
-
Russell D., and Wang Z.J. A Cartesian grid method for modeling multiple moving objects in 2D incompressible viscous flow. J. Comput. Phys. 191 (2003) 177-205
-
(2003)
J. Comput. Phys.
, vol.191
, pp. 177-205
-
-
Russell, D.1
Wang, Z.J.2
-
41
-
-
0033489545
-
Direct numerical simulation of free-surface and interfacial flow
-
Scardovelli R., and Zaleski S. Direct numerical simulation of free-surface and interfacial flow. Ann. Rev. Fluid Mech. 31 (1999) 567-603
-
(1999)
Ann. Rev. Fluid Mech.
, vol.31
, pp. 567-603
-
-
Scardovelli, R.1
Zaleski, S.2
-
43
-
-
0037689698
-
Evolution, implementation, and application of level set and fast marching methods for advancing fronts
-
Sethian J.A. Evolution, implementation, and application of level set and fast marching methods for advancing fronts. J. Comput. Phys. 169 (2001) 503-555
-
(2001)
J. Comput. Phys.
, vol.169
, pp. 503-555
-
-
Sethian, J.A.1
-
44
-
-
0002532545
-
Dynamics of drop deformation and breakup in viscous fluids
-
Stone H.A. Dynamics of drop deformation and breakup in viscous fluids. Ann. Rev. Mech. 26 (1994) 65-102
-
(1994)
Ann. Rev. Mech.
, vol.26
, pp. 65-102
-
-
Stone, H.A.1
-
45
-
-
28144444111
-
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) 146-154
-
(1994)
J. Comput. Phys.
, vol.114
, pp. 146-154
-
-
Sussman, M.1
Smereka, P.2
Osher, S.3
-
46
-
-
0037407382
-
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
-
47
-
-
85189850041
-
-
M. Tateneni, X. Zhong, Numerical study of two-phase flows in microchannels using the level set method, AIAA 2004, paper 2004-0929.
-
-
-
-
48
-
-
85189846485
-
-
M. Tateneni, X. Zhong, Numerical simulations of two-phase flows in micro gas/liquid sections, AIAA 2005, paper 2005-1392.
-
-
-
-
49
-
-
85189850757
-
-
A.K. Tornberg, B. Engquist, Numerical approximations of singular source terms in differential equations 200 (2004) 462-488.
-
-
-
-
50
-
-
0001313878
-
A front-tracking method for the computations of multiphase flow
-
Tryggvasson G., Bunner B., Esmaeeli A., Juric D., Al-Rawahi N., Tauber W., Han J., Nas S., and Jan Y.-J. A front-tracking method for the computations of multiphase flow. J. Comput. Phys. 169 (2001) 708-759
-
(2001)
J. Comput. Phys.
, vol.169
, pp. 708-759
-
-
Tryggvasson, G.1
Bunner, B.2
Esmaeeli, A.3
Juric, D.4
Al-Rawahi, N.5
Tauber, W.6
Han, J.7
Nas, S.8
Jan, Y.-J.9
-
51
-
-
2842597977
-
Computation of nonlinear free-surface flows
-
Tsai W., and Yue D.K. Computation of nonlinear free-surface flows. Ann. Rev. Fluid Mech. 28 (1996) 249-278
-
(1996)
Ann. Rev. Fluid Mech.
, vol.28
, pp. 249-278
-
-
Tsai, W.1
Yue, D.K.2
-
52
-
-
0035923845
-
A sharp interface Cartesian grid method for simulating flows with complex moving boundaries
-
Udaykumar H.S., Mittal R., Rampunggoon P., and Khanna A. A sharp interface Cartesian grid method for simulating flows with complex moving boundaries. J. Comput. Phys. 174 (2001) 345-380
-
(2001)
J. Comput. Phys.
, vol.174
, pp. 345-380
-
-
Udaykumar, H.S.1
Mittal, R.2
Rampunggoon, P.3
Khanna, A.4
-
53
-
-
0347611279
-
Computation of solid-liquid phase fronts in the sharp interface limit on fixed grids
-
Udaykumar H.S., Mittal R., and Shyy W. Computation of solid-liquid phase fronts in the sharp interface limit on fixed grids. J. Comput. Phys. 153 (1999) 534-574
-
(1999)
J. Comput. Phys.
, vol.153
, pp. 534-574
-
-
Udaykumar, H.S.1
Mittal, R.2
Shyy, W.3
-
54
-
-
0029749385
-
Elafint: a mixed Eulerian-Lagrangian method for fluid flows with complex and moving boundaries
-
Udaykumar H.S., Shyy W., and Rao M.M. Elafint: a mixed Eulerian-Lagrangian method for fluid flows with complex and moving boundaries. Int. J. Numer. Methods Fluids 22 (1996) 691-705
-
(1996)
Int. J. Numer. Methods Fluids
, vol.22
, pp. 691-705
-
-
Udaykumar, H.S.1
Shyy, W.2
Rao, M.M.3
-
55
-
-
0000550068
-
The immersed interface method for nonlinear differential equations with discontinuous coefficients and singular sources
-
Wiegmann A., and Bube K.P. The immersed interface method for nonlinear differential equations with discontinuous coefficients and singular sources. SIAM J. Numer. Anal. 35 (1998) 177-200
-
(1998)
SIAM J. Numer. Anal.
, vol.35
, pp. 177-200
-
-
Wiegmann, A.1
Bube, K.P.2
-
56
-
-
0009853243
-
The explicit-jump immersed interface method: finite difference methods for PDEs with piecewise smooth solutions
-
Wiegmann A., and Bube K.P. The explicit-jump immersed interface method: finite difference methods for PDEs with piecewise smooth solutions. SIAM J. Numer. Anal. 37 (2000) 827-862
-
(2000)
SIAM J. Numer. Anal.
, vol.37
, pp. 827-862
-
-
Wiegmann, A.1
Bube, K.P.2
-
57
-
-
31744448526
-
High order matched interface and boundary method for elliptic equations with discontinuous coefficients and singular sources
-
Zhou Y.C., Zhao S., Feig M., and Wei G.W. High order matched interface and boundary method for elliptic equations with discontinuous coefficients and singular sources. J. Comput. Phys. 213 (2006) 1-30
-
(2006)
J. Comput. Phys.
, vol.213
, pp. 1-30
-
-
Zhou, Y.C.1
Zhao, S.2
Feig, M.3
Wei, G.W.4
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