-
1
-
-
85190194137
-
-
M.G. Edwards, C.F. Rogers, A flux continuous scheme for the full tensor pressure equation (section D) in: C.L. Farmer, Z.E. Heinemann (Eds.), Proceedings: 4th European Conference on the Mathematics of Oil Recovery, Norway, June 1994, pp. 194-208.
-
M.G. Edwards, C.F. Rogers, A flux continuous scheme for the full tensor pressure equation (section D) in: C.L. Farmer, Z.E. Heinemann (Eds.), Proceedings: 4th European Conference on the Mathematics of Oil Recovery, Norway, June 1994, pp. 194-208.
-
-
-
-
2
-
-
85190229309
-
-
M.G. Edwards, Symmetric, flux continuous, positive definite approximation of the elliptic full tensor pressure equation in local conservation form, in: 13th SPE Reservoir Simulation Symposium, San Antonio, Texas, USA, February 1995, pp. 553-562.
-
M.G. Edwards, Symmetric, flux continuous, positive definite approximation of the elliptic full tensor pressure equation in local conservation form, in: 13th SPE Reservoir Simulation Symposium, San Antonio, Texas, USA, February 1995, pp. 553-562.
-
-
-
-
3
-
-
0032460761
-
Finite volume discretization with imposed flux continuity for the general tensor pressure equation
-
Edwards M.G., and Rogers C.F. Finite volume discretization with imposed flux continuity for the general tensor pressure equation. Comput. Geosci. 2 (1998) 259-290
-
(1998)
Comput. Geosci.
, Issue.2
, pp. 259-290
-
-
Edwards, M.G.1
Rogers, C.F.2
-
4
-
-
0036923067
-
Unstructured, control-volume distributed, full-tensor finite volume schemes with flow based grids
-
Edwards M.G. Unstructured, control-volume distributed, full-tensor finite volume schemes with flow based grids. Comput. Geosci. 6 (2002) 433-452
-
(2002)
Comput. Geosci.
, vol.6
, pp. 433-452
-
-
Edwards, M.G.1
-
5
-
-
85190207412
-
-
M.G. Edwards, Symmetric positive definite general tensor discretization operator on unstructured and flow based grids, paper E04, in: C.L.Farmer, Z.E. Heinemann (Eds.), Proceedings: 8th European Conference On Mathematics Of Oil Recovery, Freiberg, Germany, 3-6th September 2002, ISBN: 90-73781-24-8, pp. 22-32.
-
M.G. Edwards, Symmetric positive definite general tensor discretization operator on unstructured and flow based grids, paper E04, in: C.L.Farmer, Z.E. Heinemann (Eds.), Proceedings: 8th European Conference On Mathematics Of Oil Recovery, Freiberg, Germany, 3-6th September 2002, ISBN: 90-73781-24-8, pp. 22-32.
-
-
-
-
6
-
-
85190230591
-
-
M.G. Edwards, Control-volume distributed sub-cell flux schemes for unstructured and flow based grids, paper SPE 79710, in: SPE Reservoir Simulation Symposium, Houston, Texas, USA, 3-5 February 2003, 12 p., doi: 10.2118/79710-MS.
-
M.G. Edwards, Control-volume distributed sub-cell flux schemes for unstructured and flow based grids, paper SPE 79710, in: SPE Reservoir Simulation Symposium, Houston, Texas, USA, 3-5 February 2003, 12 p., doi: 10.2118/79710-MS.
-
-
-
-
7
-
-
0002478314
-
M-matrix flux splitting for general full tensor discretization operators on structured and unstructured grids
-
Edwards M.G. M-matrix flux splitting for general full tensor discretization operators on structured and unstructured grids. J. Comput. Phys. 160 (2000) 1-28
-
(2000)
J. Comput. Phys.
, vol.160
, pp. 1-28
-
-
Edwards, M.G.1
-
8
-
-
44249112379
-
Positive definite q-families of continuous subcell Darcy-flux CVD(MPFA) finite-volume schemes and the mixed finite element method
-
Edwards M.G., and Pal M. Positive definite q-families of continuous subcell Darcy-flux CVD(MPFA) finite-volume schemes and the mixed finite element method. Int. J. Numer. Meth., Fluids 57 (2008) 355-387
-
(2008)
Int. J. Numer. Meth., Fluids
, vol.57
, pp. 355-387
-
-
Edwards, M.G.1
Pal, M.2
-
9
-
-
33746174150
-
Convergence study of a family of flux-continuous, finite-volume schemes for the general tensor pressure equation
-
Pal M., Edwards M.G., and Lamb A.R. Convergence study of a family of flux-continuous, finite-volume schemes for the general tensor pressure equation. Int. J. Numer. Meth., Fluids 51 (2006) 1177-1203
-
(2006)
Int. J. Numer. Meth., Fluids
, vol.51
, pp. 1177-1203
-
-
Pal, M.1
Edwards, M.G.2
Lamb, A.R.3
-
10
-
-
85190231671
-
-
M. Pal, M.G. Edwards, Family of flux-continuous finite-volume schemes with improved monotonicity, paper B009, in: Proceedings of the 10th European Conference on the Mathematics of Oil Recovery, 4th-7th September 2006. ISBN:90-73781-47-7.
-
M. Pal, M.G. Edwards, Family of flux-continuous finite-volume schemes with improved monotonicity, paper B009, in: Proceedings of the 10th European Conference on the Mathematics of Oil Recovery, 4th-7th September 2006. ISBN:90-73781-47-7.
-
-
-
-
11
-
-
85190227510
-
-
M. Pal and M.G. Edwards, Flux-Splitting Schemes for improved monotonicity of discrete solution of elliptic equation with highly anisotropic coefficients, paper 384, in: Proceedings, ECCOMAS CFD-2006 Conference, Egmond aan Zee, The Netherlands, 5th-8th September, 2006. ISBN:90-9020970-0.
-
M. Pal and M.G. Edwards, Flux-Splitting Schemes for improved monotonicity of discrete solution of elliptic equation with highly anisotropic coefficients, paper 384, in: Proceedings, ECCOMAS CFD-2006 Conference, Egmond aan Zee, The Netherlands, 5th-8th September, 2006. ISBN:90-9020970-0.
-
-
-
-
12
-
-
33746119449
-
Higher-resolution hyperbolic-coupled-elliptic flux-continuous CVD schemes on structured and unstructured grids in 2-D
-
Edwards M.G. Higher-resolution hyperbolic-coupled-elliptic flux-continuous CVD schemes on structured and unstructured grids in 2-D. Int. J. Numer. Meth., Fluids 51 (2006) 1059-1077
-
(2006)
Int. J. Numer. Meth., Fluids
, vol.51
, pp. 1059-1077
-
-
Edwards, M.G.1
-
13
-
-
33746150737
-
Higher-resolution hyperbolic-coupled-elliptic flux-continuous CVD schemes on structured and unstructured grids in 3-D
-
Edwards M.G. Higher-resolution hyperbolic-coupled-elliptic flux-continuous CVD schemes on structured and unstructured grids in 3-D. Int. J. Numer. Meth., Fluids 51 (2006) 1079-1095
-
(2006)
Int. J. Numer. Meth., Fluids
, vol.51
, pp. 1079-1095
-
-
Edwards, M.G.1
-
14
-
-
0030209898
-
Discretization on non-orthogonal, quadrilateral grids for inhomogeneous, anisotropic media
-
Aavatsmark I., Barkve T., Bøe Ø., and Mannseth T. Discretization on non-orthogonal, quadrilateral grids for inhomogeneous, anisotropic media. J. Comput. Phys. 127 (1996) 2-14
-
(1996)
J. Comput. Phys.
, Issue.127
, pp. 2-14
-
-
Aavatsmark, I.1
Barkve, T.2
Bøe, Ø.3
Mannseth, T.4
-
15
-
-
0036924061
-
Introduction to multipoint flux approximation for quadrilateral grids
-
Aavatsmark I. Introduction to multipoint flux approximation for quadrilateral grids. Comput. Geosci. 6 (2002) 405-432
-
(2002)
Comput. Geosci.
, Issue.6
, pp. 405-432
-
-
Aavatsmark, I.1
-
16
-
-
0036744722
-
Implementation of a flux continuous finite difference method for stratigraphic hexahedron
-
Lee S.H., Tchelepi H., and DeChant L.J. Implementation of a flux continuous finite difference method for stratigraphic hexahedron. Grids SPEJ 7 3 (2002) 267-277
-
(2002)
Grids SPEJ
, vol.7
, Issue.3
, pp. 267-277
-
-
Lee, S.H.1
Tchelepi, H.2
DeChant, L.J.3
-
17
-
-
0036924076
-
A finite-volume method with hexahedral multiblock grids for modeling flow in porous media
-
Lee S.H., Jenny P., and Tchelepi H.A. A finite-volume method with hexahedral multiblock grids for modeling flow in porous media. Comput. Geo 6 (2002) 353-379
-
(2002)
Comput. Geo
, Issue.6
, pp. 353-379
-
-
Lee, S.H.1
Jenny, P.2
Tchelepi, H.A.3
-
18
-
-
85190232667
-
-
S. Verma, Flexible grids for reservoir simulation. Ph.D. Thesis, Stanford University, June, 1996.
-
S. Verma, Flexible grids for reservoir simulation. Ph.D. Thesis, Stanford University, June, 1996.
-
-
-
-
19
-
-
33947657066
-
A multipoint flux mixed finite element method
-
Wheeler M.F., and Yotov I. A multipoint flux mixed finite element method. SIAM J. Numer. Anal. 44 (2006) 2082-2106
-
(2006)
SIAM J. Numer. Anal.
, vol.44
, pp. 2082-2106
-
-
Wheeler, M.F.1
Yotov, I.2
-
21
-
-
85190198494
-
-
T.F. Russel, M.F. Wheeler, Finite element and finite difference methods for continuous flows in porous media, in: R.E. Ewing, Mathematics of Reservoir Simulation, Frontiers in Applied Mathematics SIAM 1983, pp. 35-106 (Chapter 2).
-
T.F. Russel, M.F. Wheeler, Finite element and finite difference methods for continuous flows in porous media, in: R.E. Ewing, Mathematics of Reservoir Simulation, Frontiers in Applied Mathematics SIAM 1983, pp. 35-106 (Chapter 2).
-
-
-
-
22
-
-
85190215778
-
-
C.L. Farmer, D.E. Heath, R.O. Moody, A global optimization approach to grid generation, in: 11th SPE Reservoir Simulation Symposium, Anaheim CA, USA, 17-20 February 1991, pp. 341-350.
-
C.L. Farmer, D.E. Heath, R.O. Moody, A global optimization approach to grid generation, in: 11th SPE Reservoir Simulation Symposium, Anaheim CA, USA, 17-20 February 1991, pp. 341-350.
-
-
-
-
23
-
-
0000193726
-
A triangle based mixed finite element finite volume technique for modeling two phase flow through porous media
-
Durlofsky L.J. A triangle based mixed finite element finite volume technique for modeling two phase flow through porous media. J. Comput. Phys. (1993) 252-266
-
(1993)
J. Comput. Phys.
, pp. 252-266
-
-
Durlofsky, L.J.1
-
24
-
-
0001198473
-
Mixed finite elements for elliptic problems with tensor coefficients as cell centered finite differences
-
Arbogast T., Wheeler M.F., and Yotov I. Mixed finite elements for elliptic problems with tensor coefficients as cell centered finite differences. SIAM J. Numer. Anal. 34 2 (1997) 828
-
(1997)
SIAM J. Numer. Anal.
, vol.34
, Issue.2
, pp. 828
-
-
Arbogast, T.1
Wheeler, M.F.2
Yotov, I.3
-
25
-
-
0012311613
-
Relationships among some conservative discretization methods
-
Numerical Treatment of Multiphase Flows in Porous Media. Chen Z., et al. (Ed), Springer, Heidelberg
-
Russell T.F. Relationships among some conservative discretization methods. In: Chen Z., et al. (Ed). Numerical Treatment of Multiphase Flows in Porous Media. Lecture Notes in Physics 552 (2000), Springer, Heidelberg 267-282
-
(2000)
Lecture Notes in Physics
, vol.552
, pp. 267-282
-
-
Russell, T.F.1
-
26
-
-
0000536753
-
The numerical solution of diffusion problems in strongly heterogeneous non-isotropic materials
-
Hyman J.M., Shashkov M., and Steinberg S. The numerical solution of diffusion problems in strongly heterogeneous non-isotropic materials. J. Comput. Phys. 132 (1997) 130-148
-
(1997)
J. Comput. Phys.
, vol.132
, pp. 130-148
-
-
Hyman, J.M.1
Shashkov, M.2
Steinberg, S.3
-
27
-
-
85190204567
-
-
B. Riviere, Discontinuous Galerkin method for solving the miscible displacement problem in porous media. Ph.D. Thesis, The University of Texas at Austin, 2000.
-
B. Riviere, Discontinuous Galerkin method for solving the miscible displacement problem in porous media. Ph.D. Thesis, The University of Texas at Austin, 2000.
-
-
-
-
28
-
-
0343831462
-
Discontinuous Glaerkin method applied to a single phase flow in porous media
-
Riviere B., Wheeler M.F., and Banas K. Discontinuous Glaerkin method applied to a single phase flow in porous media. Comput. Geosci. 4 (2000) 337-349
-
(2000)
Comput. Geosci.
, Issue.4
, pp. 337-349
-
-
Riviere, B.1
Wheeler, M.F.2
Banas, K.3
-
29
-
-
13644273551
-
Discretization on quadrilateral grids with improved monotonicity properties
-
Nordbotten J.M., and Eigestad G.T. Discretization on quadrilateral grids with improved monotonicity properties. J. Comput. Phys. 203 2 (2005) 744-760
-
(2005)
J. Comput. Phys.
, vol.203
, Issue.2
, pp. 744-760
-
-
Nordbotten, J.M.1
Eigestad, G.T.2
-
30
-
-
25144509004
-
Monotonoicity conditions for control volume methods on uniform parallelogram grids in homogeneous media
-
Nordbotten J.M., and Aavatsmark I. Monotonoicity conditions for control volume methods on uniform parallelogram grids in homogeneous media. Comput. Geosci. 9 (2005) 61-72
-
(2005)
Comput. Geosci.
, vol.9
, pp. 61-72
-
-
Nordbotten, J.M.1
Aavatsmark, I.2
-
32
-
-
33748196044
-
Unstructured grid optimization for improved monotonocity of discrete solutions of elliptic equations with highly anisotropic coefficients
-
Mlacnik M.J., and Durlofsky L.J. Unstructured grid optimization for improved monotonocity of discrete solutions of elliptic equations with highly anisotropic coefficients. J. Comput. Phys. 216 1 (2006) 337-361
-
(2006)
J. Comput. Phys.
, vol.216
, Issue.1
, pp. 337-361
-
-
Mlacnik, M.J.1
Durlofsky, L.J.2
-
33
-
-
85190078490
-
-
M. Pal, M.G. Edwards, Quasi-monotonic continuous Darcy-flux approximation for general 3-D grids of any element type, paper SPE 106486, in: SPE Reservoir Simulation Symposium Houston, Texas, USA, 26-28 February 2007, 14 p., doi:10.2118/106486-MS.
-
M. Pal, M.G. Edwards, Quasi-monotonic continuous Darcy-flux approximation for general 3-D grids of any element type, paper SPE 106486, in: SPE Reservoir Simulation Symposium Houston, Texas, USA, 26-28 February 2007, 14 p., doi:10.2118/106486-MS.
-
-
-
-
34
-
-
0031965041
-
Tensors and finite volume approximation with deferred correction
-
Edwards M.G., and Flow C. Tensors and finite volume approximation with deferred correction. Comput. Meth. Appl. Mech. Eng. 151 (1998) 143-161
-
(1998)
Comput. Meth. Appl. Mech. Eng.
, vol.151
, pp. 143-161
-
-
Edwards, M.G.1
Flow, C.2
-
35
-
-
0001152556
-
Discretization and multigrid solution of elliptic equations with mixed derivative terms and strongly discontinuous coefficients
-
Crumpton P.I., Shaw G.J., and Ware A.F. Discretization and multigrid solution of elliptic equations with mixed derivative terms and strongly discontinuous coefficients. J. Comput. Phys. 116 (1995) 343-358
-
(1995)
J. Comput. Phys.
, vol.116
, pp. 343-358
-
-
Crumpton, P.I.1
Shaw, G.J.2
Ware, A.F.3
-
36
-
-
85190187728
-
-
M.G. Edwards, Superconvergent renormalization and tensor approximation, in: Proceedings: 5th European Conference on the Mathematics of Oil Recovery, Leoben Austria, 1996, 3-6 September, pp. 445-454. ISBN 3-9500542-0-0.
-
M.G. Edwards, Superconvergent renormalization and tensor approximation, in: Proceedings: 5th European Conference on the Mathematics of Oil Recovery, Leoben Austria, 1996, 3-6 September, pp. 445-454. ISBN 3-9500542-0-0.
-
-
-
-
38
-
-
85190206526
-
-
Q. Chen, J. Wan, Y. Yang, R. Mifflin, A new multi-point flux approximation for reservoir simulation, in: 106464 SPE Reservoir Simulation Symposium Houston, Texas, USA, 26-28 February 2007, doi:10.2118/106464-MS.
-
Q. Chen, J. Wan, Y. Yang, R. Mifflin, A new multi-point flux approximation for reservoir simulation, in: 106464 SPE Reservoir Simulation Symposium Houston, Texas, USA, 26-28 February 2007, doi:10.2118/106464-MS.
-
-
-
-
39
-
-
85190197349
-
-
H. Zheng, M.G. Edwards, M. Pal, Flux continuous finite volume schemes with full pressure continuity, in: Proceeding: 15th UK conference of ACME, Glasgow UK, April 2-3, 2007, pp. 48-57.
-
H. Zheng, M.G. Edwards, M. Pal, Flux continuous finite volume schemes with full pressure continuity, in: Proceeding: 15th UK conference of ACME, Glasgow UK, April 2-3, 2007, pp. 48-57.
-
-
-
-
40
-
-
33750584064
-
Convergence of multipoint flux approximations on quadrilateral grids
-
Klausen R., and Winther R. Convergence of multipoint flux approximations on quadrilateral grids. Numer. Meth. Part. Differ. Equations 22 (2006) 1438-1454
-
(2006)
Numer. Meth. Part. Differ. Equations
, vol.22
, pp. 1438-1454
-
-
Klausen, R.1
Winther, R.2
-
41
-
-
44649153782
-
A compact multipoint flux approximation method with improved robustness
-
Aavatsmark I., Eigestad G.T., Mallison B.T., and Nordbotten J.M. A compact multipoint flux approximation method with improved robustness. Numer. Meth. Part. Differ. Equations 24 5 (2008) 1329-1360
-
(2008)
Numer. Meth. Part. Differ. Equations
, vol.24
, Issue.5
, pp. 1329-1360
-
-
Aavatsmark, I.1
Eigestad, G.T.2
Mallison, B.T.3
Nordbotten, J.M.4
-
42
-
-
35348844627
-
Monotone finite volume schemes for diffusion equations on unstructured triangular and shape-regular polygonal meshes
-
Lipnikov K., Shashkov M., Svyatskiy D., and Vassilevski Yu. Monotone finite volume schemes for diffusion equations on unstructured triangular and shape-regular polygonal meshes. J. Comput. Phys. 227 (2008) 492-512
-
(2008)
J. Comput. Phys.
, vol.227
, pp. 492-512
-
-
Lipnikov, K.1
Shashkov, M.2
Svyatskiy, D.3
Vassilevski, Yu.4
|