-
1
-
-
84966233568
-
Multi-level adaptive solutions to boundary-value problems
-
Brandt A. Multi-level adaptive solutions to boundary-value problems. Math. Comput. 1977, 31(138):333-390.
-
(1977)
Math. Comput.
, vol.31
, Issue.138
, pp. 333-390
-
-
Brandt, A.1
-
2
-
-
0000350663
-
High accuracy solution of incompressible Navier-Stokes equations
-
Gupta M.M. High accuracy solution of incompressible Navier-Stokes equations. J. Comput. Phys. 1991, 93:343-359.
-
(1991)
J. Comput. Phys.
, vol.93
, pp. 343-359
-
-
Gupta, M.M.1
-
3
-
-
0021207821
-
A single cell high order scheme for the convection-diffusion equation with variable coefficients
-
Gupta M.M., Manohar R.P., Stephenson J.W. A single cell high order scheme for the convection-diffusion equation with variable coefficients. Int. J. Numer. Methods Fluids 1984, 4:641-651.
-
(1984)
Int. J. Numer. Methods Fluids
, vol.4
, pp. 641-651
-
-
Gupta, M.M.1
Manohar, R.P.2
Stephenson, J.W.3
-
4
-
-
49049143188
-
High Re-solution for incompressible Navier-Stokes equation and a multigrid method
-
Ghia U., Ghia K.N., Shin C.T. High Re-solution for incompressible Navier-Stokes equation and a multigrid method. J. Comput. Phys. 1982, 48:387-411.
-
(1982)
J. Comput. Phys.
, vol.48
, pp. 387-411
-
-
Ghia, U.1
Ghia, K.N.2
Shin, C.T.3
-
5
-
-
0002402380
-
A conservative finite-volume 2nd order accurate projection method on hybrid unstructured grids
-
Kobayashi M.H., Pereira J.M.C., Pereira J.C.F. A conservative finite-volume 2nd order accurate projection method on hybrid unstructured grids. J. Comput. Phys. 1999, 150:40-75.
-
(1999)
J. Comput. Phys.
, vol.150
, pp. 40-75
-
-
Kobayashi, M.H.1
Pereira, J.M.C.2
Pereira, J.C.F.3
-
6
-
-
0029106259
-
A compact fourth-order finite difference scheme for the incompressible Navier-Stokes equations
-
Li M., Tang T., Fornberg B. A compact fourth-order finite difference scheme for the incompressible Navier-Stokes equations. Int. J. Numer. Methods Fluids 1995, 20:1137-1151.
-
(1995)
Int. J. Numer. Methods Fluids
, vol.20
, pp. 1137-1151
-
-
Li, M.1
Tang, T.2
Fornberg, B.3
-
7
-
-
0042696191
-
A compact fourth-order finite difference scheme for unsteady viscous incompressible flows
-
Li M., Tang T. A compact fourth-order finite difference scheme for unsteady viscous incompressible flows. J. Sci. Comput. 2001, 16:29-45.
-
(2001)
J. Sci. Comput.
, vol.16
, pp. 29-45
-
-
Li, M.1
Tang, T.2
-
8
-
-
0026223011
-
Differential equation based representtaion of truncation errors for accurate numerical simulation
-
MacKinnon R.J., Johnson R.W. Differential equation based representtaion of truncation errors for accurate numerical simulation. Int. J. Numer. Methods Fluids 1991, 13:739-757.
-
(1991)
Int. J. Numer. Methods Fluids
, vol.13
, pp. 739-757
-
-
MacKinnon, R.J.1
Johnson, R.W.2
-
9
-
-
0030171562
-
Essentially compact schemes for unsteady viscous incompressible flows
-
E W., Liu J.-G. Essentially compact schemes for unsteady viscous incompressible flows. J. Comput. Phys. 1996, 128:122-138.
-
(1996)
J. Comput. Phys.
, vol.128
, pp. 122-138
-
-
E, W.1
Liu, J.-G.2
-
10
-
-
0030584561
-
Vorticity boundary condition and related issues for finite difference schemes
-
E W., Liu J.-G. Vorticity boundary condition and related issues for finite difference schemes. J. Comput. Phys. 1996, 124:368-382.
-
(1996)
J. Comput. Phys.
, vol.124
, pp. 368-382
-
-
E, W.1
Liu, J.-G.2
-
11
-
-
0000213656
-
Projection method I: convergence and numerical boundary layers
-
E W., Liu J.-G. Projection method I: convergence and numerical boundary layers. SIAM J. Numer. Anal. 1996, 33:1017-1057.
-
(1996)
SIAM J. Numer. Anal.
, vol.33
, pp. 1017-1057
-
-
E, W.1
Liu, J.-G.2
-
12
-
-
0001144269
-
Projection method. II: Godunov-Ryabenki analysis
-
E W., Liu J.-G. Projection method. II: Godunov-Ryabenki analysis. SIAM J. Numer. Anal. 1996, 33:1597-1621.
-
(1996)
SIAM J. Numer. Anal.
, vol.33
, pp. 1597-1621
-
-
E, W.1
Liu, J.-G.2
-
13
-
-
40449093496
-
A numerical method for solving incompressible viscous flow problems
-
Chorin A.J. A numerical method for solving incompressible viscous flow problems. J. Comput. Phys. 1967, 2:12-26.
-
(1967)
J. Comput. Phys.
, vol.2
, pp. 12-26
-
-
Chorin, A.J.1
-
14
-
-
0026137540
-
Steady and unsteady solutions of the incompressible Navier-Stokes equations
-
Rogers S., Kuak D., Kiris C. Steady and unsteady solutions of the incompressible Navier-Stokes equations. AIAA J. 1991, 29(4):603-610.
-
(1991)
AIAA J.
, vol.29
, Issue.4
, pp. 603-610
-
-
Rogers, S.1
Kuak, D.2
Kiris, C.3
-
15
-
-
0003981573
-
Higher-order compact schemes for numerical simulation of incompressible flows
-
ICASE Report 98-13, ICASE, Langley Research Center,
-
R.V. Wilson, A.O. Demuren, M.H. Carpenter, Higher-order compact schemes for numerical simulation of incompressible flows, ICASE Report 98-13, ICASE, Langley Research Center, 1998.
-
(1998)
-
-
Wilson, R.V.1
Demuren, A.O.2
Carpenter, M.H.3
-
16
-
-
84968483581
-
On the convergence of discrete approximations of the Navier-Stokes equations
-
Chorin A.J. On the convergence of discrete approximations of the Navier-Stokes equations. Math. Comput. 1969, 23:341-353.
-
(1969)
Math. Comput.
, vol.23
, pp. 341-353
-
-
Chorin, A.J.1
-
17
-
-
0001608079
-
A second-order projection method for the incompressible Navier-Stokes equations
-
Bell J.B., Colella P., Glaz H.M. A second-order projection method for the incompressible Navier-Stokes equations. J. Comput. Phys. 1989, 85:257-283.
-
(1989)
J. Comput. Phys.
, vol.85
, pp. 257-283
-
-
Bell, J.B.1
Colella, P.2
Glaz, H.M.3
-
18
-
-
0033566235
-
Numerical solution of the incompressible Navier-Stokes equations with an upwind compact difference scheme
-
Ma Y., Fu D., Kobarash T., Taniguchi N. Numerical solution of the incompressible Navier-Stokes equations with an upwind compact difference scheme. Int. J. Numer. Methods Fluids 1999, 30:509-521.
-
(1999)
Int. J. Numer. Methods Fluids
, vol.30
, pp. 509-521
-
-
Ma, Y.1
Fu, D.2
Kobarash, T.3
Taniguchi, N.4
-
19
-
-
33044504607
-
A calculation procedure for heat, mass and momentum transfer in three dimensional parabolic flows
-
Patanker S.V., Spalding D.B. A calculation procedure for heat, mass and momentum transfer in three dimensional parabolic flows. Int. J. Heat Mass Trans. 1972, 15:1787-1806.
-
(1972)
Int. J. Heat Mass Trans.
, vol.15
, pp. 1787-1806
-
-
Patanker, S.V.1
Spalding, D.B.2
-
20
-
-
0029380108
-
High-order compact scheme for the steady stream-function vorticity equations
-
Spotz W.F., Carey G.F. High-order compact scheme for the steady stream-function vorticity equations. Int. J. Numer. Methods Eng. 1995, 38:3497-3512.
-
(1995)
Int. J. Numer. Methods Eng.
, vol.38
, pp. 3497-3512
-
-
Spotz, W.F.1
Carey, G.F.2
-
21
-
-
33845639198
-
High-order compact exponential finite difference methods for convection-diffusion type problems
-
Tian Z.F., Dai S.Q. High-order compact exponential finite difference methods for convection-diffusion type problems. J. Comput. Phys. 2007, 220:952-974.
-
(2007)
J. Comput. Phys.
, vol.220
, pp. 952-974
-
-
Tian, Z.F.1
Dai, S.Q.2
-
22
-
-
0037456263
-
A fourth-order compact finite difference scheme for the steady streamfunction-vorticity formulation of the Navier-Stokes/Boussinesq equations
-
Tian Z.F., Ge Y.B. A fourth-order compact finite difference scheme for the steady streamfunction-vorticity formulation of the Navier-Stokes/Boussinesq equations. Int. J. Numer. Methods Fluids. 2003, 41:495-518.
-
(2003)
Int. J. Numer. Methods Fluids.
, vol.41
, pp. 495-518
-
-
Tian, Z.F.1
Ge, Y.B.2
-
24
-
-
0003134208
-
Hybrid biconjugate methods for CFD problems
-
M. Hafez, K. Oshima (Eds.), Computational Fluid Dynamics Review,
-
G.L.G. Sleijpen, H.A. van der Vorst, Hybrid biconjugate methods for CFD problems, M. Hafez, K. Oshima (Eds.), Computational Fluid Dynamics Review, 1995, pp. 457-476.
-
(1995)
, pp. 457-476
-
-
Sleijpen, G.L.G.1
van der Vorst, H.A.2
-
25
-
-
0003872107
-
High-Order Compact Finite Difference Schemes for Computational Mechanics
-
Ph.D. Thesis, University of Texas at Austin, Austin, TX,
-
W.F. Spotz, High-Order Compact Finite Difference Schemes for Computational Mechanics, Ph.D. Thesis, University of Texas at Austin, Austin, TX, 1995.
-
(1995)
-
-
Spotz, W.F.1
-
26
-
-
0004574861
-
Simulation of cavity flows by the lattice Boltzmann method
-
Hou S., Zou Q., Chen S., Doolen G., Cogley A. Simulation of cavity flows by the lattice Boltzmann method. J. Comput. Phys. 1995, 118:329-347.
-
(1995)
J. Comput. Phys.
, vol.118
, pp. 329-347
-
-
Hou, S.1
Zou, Q.2
Chen, S.3
Doolen, G.4
Cogley, A.5
-
27
-
-
18344385504
-
A new paradigm for solving Navier-Stokes equations: streamfunction-velocity formulation
-
Gupta M.M., Kalita J.C. A new paradigm for solving Navier-Stokes equations: streamfunction-velocity formulation. J. Comput. Phys. 2005, 207:52-68.
-
(2005)
J. Comput. Phys.
, vol.207
, pp. 52-68
-
-
Gupta, M.M.1
Kalita, J.C.2
-
28
-
-
17144404238
-
A pure-compact scheme for the streamfunction formulation of Navier-Stokes equations
-
Ben-Artzi M., Croisille J.-P., Fishelov D., Trachtenberg S. A pure-compact scheme for the streamfunction formulation of Navier-Stokes equations. J. Comput. Phys. 2005, 205:640-664.
-
(2005)
J. Comput. Phys.
, vol.205
, pp. 640-664
-
-
Ben-Artzi, M.1
Croisille, J.-P.2
Fishelov, D.3
Trachtenberg, S.4
-
29
-
-
0036202978
-
A central-difference scheme for a pure stream function formulation of incompressible viscous flows
-
Kupferman R. A central-difference scheme for a pure stream function formulation of incompressible viscous flows. SIAM J. Sci. Comput. 2001, 23:1-18.
-
(2001)
SIAM J. Sci. Comput.
, vol.23
, pp. 1-18
-
-
Kupferman, R.1
-
30
-
-
0037196857
-
A stream function implicit finite deifference scheme for 2D incompressible flows of Newtonian fluids
-
Bubnovich V.I., Rosas C.E., Moraga N.O. A stream function implicit finite deifference scheme for 2D incompressible flows of Newtonian fluids. Int. J. Numer. Methods Eng. 2002, 53:2163-2184.
-
(2002)
Int. J. Numer. Methods Eng.
, vol.53
, pp. 2163-2184
-
-
Bubnovich, V.I.1
Rosas, C.E.2
Moraga, N.O.3
-
31
-
-
15844377785
-
A computational stream function method for two-dimensioanl incompressible viscous flows
-
Kobayashi M.H., Pereira J.M.C. A computational stream function method for two-dimensioanl incompressible viscous flows. Int. J. Numer. Methods Eng. 2005, 62:1950-1981.
-
(2005)
Int. J. Numer. Methods Eng.
, vol.62
, pp. 1950-1981
-
-
Kobayashi, M.H.1
Pereira, J.M.C.2
-
32
-
-
0035505399
-
An efficient high-order Taylor weak statement formulation for the Navier-Stokes equations
-
Kolesnikov A., Baker A.J. An efficient high-order Taylor weak statement formulation for the Navier-Stokes equations. J. Comput. Phys. 2001, 173:549-574.
-
(2001)
J. Comput. Phys.
, vol.173
, pp. 549-574
-
-
Kolesnikov, A.1
Baker, A.J.2
-
33
-
-
13944273013
-
Multigrid method for the streamfunction formulation of the 2D incompressible Navier-Stokes equations
-
(in Chinese)
-
Tian R.X., Ge Y.B., Wu W.Q. Multigrid method for the streamfunction formulation of the 2D incompressible Navier-Stokes equations. J. Eng. Thermophys. 2005, 26:31-34. (in Chinese).
-
(2005)
J. Eng. Thermophys.
, vol.26
, pp. 31-34
-
-
Tian, R.X.1
Ge, Y.B.2
Wu, W.Q.3
-
34
-
-
0000005482
-
BiCGSTAB: a fast and smoothly converging variant of BiCG for the solution of nonsymmetric linear systems
-
van Der Vorst H. BiCGSTAB: a fast and smoothly converging variant of BiCG for the solution of nonsymmetric linear systems. SIAM J. Sci. Comput. 1992, 13:631-644.
-
(1992)
SIAM J. Sci. Comput.
, vol.13
, pp. 631-644
-
-
van Der Vorst, H.1
-
36
-
-
0003430379
-
Multigrid acceleration techniques and applications to the numerical solution of partial differential equation
-
Ph.D. Thesis, George Washington Univ.,
-
J. Zhang, Multigrid acceleration techniques and applications to the numerical solution of partial differential equation, Ph.D. Thesis, George Washington Univ., 1997.
-
(1997)
-
-
Zhang, J.1
-
37
-
-
85041130800
-
Numerical simulation of 2D square driven cavity using fourth-order compact finite difference schemes
-
Zhang J. Numerical simulation of 2D square driven cavity using fourth-order compact finite difference schemes. Comput. Math. Appl. 2003, 45:43-52.
-
(2003)
Comput. Math. Appl.
, vol.45
, pp. 43-52
-
-
Zhang, J.1
-
38
-
-
46149132843
-
Block-implicit multigrid solution of Navier-Stokes equations in primitive variables
-
Vanka S.P. Block-implicit multigrid solution of Navier-Stokes equations in primitive variables. J. Comput. Phys. 1986, 65:138-158.
-
(1986)
J. Comput. Phys.
, vol.65
, pp. 138-158
-
-
Vanka, S.P.1
-
39
-
-
0031171880
-
Streamfunction-vorticity driven cavity solution using p finite elements
-
Barragy E., Carey G.F. Streamfunction-vorticity driven cavity solution using p finite elements. Comput. Fluid 1997, 26:453-468.
-
(1997)
Comput. Fluid
, vol.26
, pp. 453-468
-
-
Barragy, E.1
Carey, G.F.2
-
40
-
-
0032078546
-
Benchmark spectral results on the lid-driven cavity flow
-
Botella O., Peyret R. Benchmark spectral results on the lid-driven cavity flow. Comput. Fluid 1998, 27:421-433.
-
(1998)
Comput. Fluid
, vol.27
, pp. 421-433
-
-
Botella, O.1
Peyret, R.2
-
41
-
-
0000305272
-
An efficient scheme for solving steady incompressible Navier-Stokes equations
-
Bruneau C.-H., Jouron C. An efficient scheme for solving steady incompressible Navier-Stokes equations. J. Comput. Phys. 1990, 89:389-413.
-
(1990)
J. Comput. Phys.
, vol.89
, pp. 389-413
-
-
Bruneau, C.-H.1
Jouron, C.2
-
42
-
-
85190572662
-
Numerical simulation of instability in driven rectangular cavity flos
-
(in Chinese)
-
Wu Y., Fu D., Huang L. Numerical simulation of instability in driven rectangular cavity flos. Acta Mech. Sin. 1994, 26(4):397-406. (in Chinese).
-
(1994)
Acta Mech. Sin.
, vol.26
, Issue.4
, pp. 397-406
-
-
Wu, Y.1
Fu, D.2
Huang, L.3
-
43
-
-
0026833160
-
Higher-order solutions of square driven cavity flow using a variable-order multigrid method
-
Nishida H., Satofuka N. Higher-order solutions of square driven cavity flow using a variable-order multigrid method. Int. J. Numer. Methods Eng. 1992, 34:637-653.
-
(1992)
Int. J. Numer. Methods Eng.
, vol.34
, pp. 637-653
-
-
Nishida, H.1
Satofuka, N.2
-
44
-
-
0037986168
-
A novel fully-implicit finite volume method applied to the lid-driven cavity problem. Part I: High Reynolds number flow calculations
-
Sahin M., Owens R.G. A novel fully-implicit finite volume method applied to the lid-driven cavity problem. Part I: High Reynolds number flow calculations. Int. J. Numer. Methods Fluids 2003, 42:57-77.
-
(2003)
Int. J. Numer. Methods Fluids
, vol.42
, pp. 57-77
-
-
Sahin, M.1
Owens, R.G.2
-
45
-
-
0035629242
-
Vorticity dynamics and numerical resolution of Navier-Stokes equations
-
Ben-Artzi M., Fishelov D., Trachtenberg S. Vorticity dynamics and numerical resolution of Navier-Stokes equations. Math. Model. Numer. Anal. 2001, 35(2):313-330.
-
(2001)
Math. Model. Numer. Anal.
, vol.35
, Issue.2
, pp. 313-330
-
-
Ben-Artzi, M.1
Fishelov, D.2
Trachtenberg, S.3
-
46
-
-
21144452940
-
A compact scheme for the stream-function formulation of Navier-Stokes equations
-
Springer-Verlag., 2667
-
Fishelov D., Ben-Artzi M., Croisille J.-P. A compact scheme for the stream-function formulation of Navier-Stokes equations. Notes on Computer Science 2003, vol. 2667. Springer-Verlag.
-
(2003)
Notes on Computer Science
-
-
Fishelov, D.1
Ben-Artzi, M.2
Croisille, J.-P.3
-
47
-
-
33845650175
-
Convergence of a compact scheme for the pure streamfunction formulation of the unsteady Navier-Stokes system
-
Ben-Artzi M., Croisille J.-P., Fishelov D. Convergence of a compact scheme for the pure streamfunction formulation of the unsteady Navier-Stokes system. SIAM J. Numer. Anal. 2006, 44(5):1997-2024.
-
(2006)
SIAM J. Numer. Anal.
, vol.44
, Issue.5
, pp. 1997-2024
-
-
Ben-Artzi, M.1
Croisille, J.-P.2
Fishelov, D.3
-
48
-
-
77951116123
-
A compact difference scheme for the biharmonic equation in planar irregular domains
-
Ben-Artzi M., Chorev I., Croisille J.-P., Fishelov D. A compact difference scheme for the biharmonic equation in planar irregular domains. SIAM J. Numer. Anal. 2009, 47:3087-3108.
-
(2009)
SIAM J. Numer. Anal.
, vol.47
, pp. 3087-3108
-
-
Ben-Artzi, M.1
Chorev, I.2
Croisille, J.-P.3
Fishelov, D.4
-
49
-
-
49749100474
-
On the use of compact streamfunction-velocity formulation of steady Navier-Stokes equations on geometries beyond rectangular
-
Pandit S.K. On the use of compact streamfunction-velocity formulation of steady Navier-Stokes equations on geometries beyond rectangular. J. Sci. Comput. 2008, 36:219-242.
-
(2008)
J. Sci. Comput.
, vol.36
, pp. 219-242
-
-
Pandit, S.K.1
-
50
-
-
0345761443
-
A transformation-free HOC scheme for steady-state convection-diffusion on non-uniform grids
-
Kalita J.C., Dass A.K., Dalal D.C. A transformation-free HOC scheme for steady-state convection-diffusion on non-uniform grids. Int. J. Numer. Methods Fluids 2004, 44:33-53.
-
(2004)
Int. J. Numer. Methods Fluids
, vol.44
, pp. 33-53
-
-
Kalita, J.C.1
Dass, A.K.2
Dalal, D.C.3
|