-
1
-
-
0017009617
-
Skew upstream differencing schemes for problems involving fluid flow
-
Raithby G. Skew upstream differencing schemes for problems involving fluid flow. Computer Methods in Applied Mechanics and Engineering 1976; 9:153-164.
-
(1976)
Computer Methods in Applied Mechanics and Engineering
, vol.9
, pp. 153-164
-
-
Raithby, G.1
-
2
-
-
26844455510
-
Multidimensional upwind methods for hyperbolic conservation laws
-
Colella P. Multidimensional upwind methods for hyperbolic conservation laws. Journal of Computational Physics 1990; 87:171-200.
-
(1990)
Journal of Computational Physics
, vol.87
, pp. 171-200
-
-
Colella, P.1
-
3
-
-
79961091398
-
-
Fluctuation splitting for multidimensional convection problems: an alternative to finite volume and finite element methods. Computational Fluid Dynamics, Von-Karman Institute Lecture Series, Rhode-St-Genèse, Belgium
-
Deconinck H, Struijs R, Roe PL. Fluctuation splitting for multidimensional convection problems: an alternative to finite volume and finite element methods. Computational Fluid Dynamics, Von-Karman Institute Lecture Series, Rhode-St-Genèse, Belgium, 1990-2003.
-
(1990)
-
-
Deconinck, H.1
Struijs, R.2
Roe, P.L.3
-
4
-
-
79961050334
-
-
Recent progress in multidimensional upwinding. Proceedings on Numerical Methods in Fluid Dynamics, Oxford, U.K., 9-13 July
-
Roe PL, Deconinck H, Struijs R. Recent progress in multidimensional upwinding. Proceedings on Numerical Methods in Fluid Dynamics, Oxford, U.K., 9-13 July 1990.
-
(1990)
-
-
Roe, P.L.1
Deconinck, H.2
Struijs, R.3
-
5
-
-
0026965646
-
Optimum positve linear schemes for advection in two and three dimensions
-
Roe PL, Sildicover D. Optimum positve linear schemes for advection in two and three dimensions. SIAM Journal on Numerical Analysis 1992; 29(6):1542-1568.
-
(1992)
SIAM Journal on Numerical Analysis
, vol.29
, Issue.6
, pp. 1542-1568
-
-
Roe, P.L.1
Sildicover, D.2
-
6
-
-
0031539572
-
Conservative multidimensional upwinding for the steady two-dimensional shallow water equations
-
Hubbard ME, Baines MJ. Conservative multidimensional upwinding for the steady two-dimensional shallow water equations. Journal of Computational Physics 1997; 138:419-448.
-
(1997)
Journal of Computational Physics
, vol.138
, pp. 419-448
-
-
Hubbard, M.E.1
Baines, M.J.2
-
7
-
-
79961085347
-
-
Higher dimensional wave-oriented upwind schemes with minimal cross-wind diffusion. SPE 79689 Proceedings on SPE Reservoir Simulation Symposium, Houston, TX, U.S.A., 3-5 February
-
Edwards MG. Higher dimensional wave-oriented upwind schemes with minimal cross-wind diffusion. SPE 79689 Proceedings on SPE Reservoir Simulation Symposium, Houston, TX, U.S.A., 3-5 February 2003.
-
(2003)
-
-
Edwards, M.G.1
-
8
-
-
0000668444
-
Toward the ultimate conservative scheme: following the quest
-
Abgrall R. Toward the ultimate conservative scheme: following the quest. Journal of Computational Physics 2001; 167:277-315.
-
(2001)
Journal of Computational Physics
, vol.167
, pp. 277-315
-
-
Abgrall, R.1
-
9
-
-
3042707695
-
H-box methods for the approximation of hyperbolic conservation laws on irregular grids
-
Berger MJ, Helzel C, LeVeque RJ. H-box methods for the approximation of hyperbolic conservation laws on irregular grids. SIAM Journal on Numerical Analysis 2003; 41:893-918.
-
(2003)
SIAM Journal on Numerical Analysis
, vol.41
, pp. 893-918
-
-
Berger, M.J.1
Helzel, C.2
LeVeque, R.J.3
-
11
-
-
77953820425
-
Higher order multidimensional upwind convection schemes for flow in porous media on structured and unstructured quadrilateral grids
-
Lamine S, Edwards MG. Higher order multidimensional upwind convection schemes for flow in porous media on structured and unstructured quadrilateral grids. SIAM Journal on Scientific Computing 2010; 32(3):1119-1139.
-
(2010)
SIAM Journal on Scientific Computing
, vol.32
, Issue.3
, pp. 1119-1139
-
-
Lamine, S.1
Edwards, M.G.2
-
12
-
-
77955307022
-
Multidimensional upwind convection schemes for flow in porous media on structured and unstructured quadrilateral grids
-
DOI: 10.1016/j.cam.2009.08.069.
-
Lamine S, Edwards MG. Multidimensional upwind convection schemes for flow in porous media on structured and unstructured quadrilateral grids. Journal of Computational and Applied Mathematics 2009; DOI: 10.1016/j.cam.2009.08.069.
-
(2009)
Journal of Computational and Applied Mathematics
-
-
Lamine, S.1
Edwards, M.G.2
-
13
-
-
79961081399
-
-
Higher order multidimensional wave oriented upwind convection schemes for flow in porous media on structured and unstructured grids. Proceedings on Reservoir Simulation Symposium, SPE119187, Houston, TX, U.S.A., February
-
Lamine S, Edwards MG. Higher order multidimensional wave oriented upwind convection schemes for flow in porous media on structured and unstructured grids. Proceedings on Reservoir Simulation Symposium, SPE119187, Houston, TX, U.S.A., February, 2009.
-
(2009)
-
-
Lamine, S.1
Edwards, M.G.2
-
14
-
-
70449589211
-
-
Multi-D upwinding for multiphase transport in porous media. Proceedings of the Reservoir Simulation Symposium, Houston, TX, 2009; Paper 119190.
-
Kozdon J, Mallison B, Gerritsen M, Chen W. Multi-D upwinding for multiphase transport in porous media. Proceedings of the Reservoir Simulation Symposium, Houston, TX, 2009; Paper 119190.
-
-
-
Kozdon, J.1
Mallison, B.2
Gerritsen, M.3
Chen, W.4
-
15
-
-
64749097311
-
Low diffusion rotated upwind schemes, multigrid and defect corrections for steady, multidimensional Euler flows
-
Koren B. Low diffusion rotated upwind schemes, multigrid and defect corrections for steady, multidimensional Euler flows. International Series of Numerical Mathematics 1991; 98:265-276.
-
(1991)
International Series of Numerical Mathematics
, vol.98
, pp. 265-276
-
-
Koren, B.1
-
16
-
-
2442433925
-
Towards the ultimate conservative difference scheme, V. A second-order sequel to Godunov's method
-
Van Leer B. Towards the ultimate conservative difference scheme, V. A second-order sequel to Godunov's method. Journal of Computational Physics 1979; 32:101-136.
-
(1979)
Journal of Computational Physics
, vol.32
, pp. 101-136
-
-
Van Leer, B.1
-
17
-
-
40749159424
-
High resolution schemes for hyperbolic conservation laws
-
Harten A. High resolution schemes for hyperbolic conservation laws. Journal of Computational Physics 1983; 49:357-393.
-
(1983)
Journal of Computational Physics
, vol.49
, pp. 357-393
-
-
Harten, A.1
-
18
-
-
0000233119
-
Some contributions to the modeling of discontinuous flows
-
In Osher S, Engquist B, Somerville R (eds), Lectures in Applied Mathematics, Springer: Berlin
-
Roe PL. Some contributions to the modeling of discontinuous flows. In Large Scale Computations in Fluid Mechanics Osher S, Engquist B, Somerville R (eds), Lectures in Applied Mathematics, vol. 22. Springer: Berlin, 1985; 163-193.
-
(1985)
Large Scale Computations in Fluid Mechanics
, vol.22
, pp. 163-193
-
-
Roe, P.L.1
-
19
-
-
0021513424
-
High resolution schemes using flux limiters for hyperbolic conservation laws
-
Sweby PK. High resolution schemes using flux limiters for hyperbolic conservation laws. SIAM Journal on Numerical Analysis 1984; 21:995-1011.
-
(1984)
SIAM Journal on Numerical Analysis
, vol.21
, pp. 995-1011
-
-
Sweby, P.K.1
-
21
-
-
33749535785
-
An unsplit higher order Godunov method for scalar conservation laws in two dimensions
-
Bell J, Dawson C, Shubin G. An unsplit higher order Godunov method for scalar conservation laws in two dimensions. Journal of Computational Physics 1988; 74:1-24.
-
(1988)
Journal of Computational Physics
, vol.74
, pp. 1-24
-
-
Bell, J.1
Dawson, C.2
Shubin, G.3
-
22
-
-
0000065346
-
Implicit flux-limiting schemes for petroleum reservoir simulation
-
Blunt MJ, Rubin B. Implicit flux-limiting schemes for petroleum reservoir simulation. Journal of Computational Physics 1992; 102:194-210.
-
(1992)
Journal of Computational Physics
, vol.102
, pp. 194-210
-
-
Blunt, M.J.1
Rubin, B.2
-
23
-
-
0027311332
-
-
Dynamically adaptive Godunov schemes with renormalization for reservoir simulation. Proceedings of the Twelfth SPE Reservoir Simulation Symposium, SPE 25268, New Orleans, LA U.S.A., 28 February to 3 March
-
Edwards MG, Christie MA. Dynamically adaptive Godunov schemes with renormalization for reservoir simulation. Proceedings of the Twelfth SPE Reservoir Simulation Symposium, SPE 25268, New Orleans, LA U.S.A., 28 February to 3 March 1993; 413-422.
-
(1993)
, pp. 413-422
-
-
Edwards, M.G.1
Christie, M.A.2
-
24
-
-
0030135674
-
A higher order Godunov scheme coupled with dynamic local grid refinement for flow in a porous medium
-
Edwards MG. A higher order Godunov scheme coupled with dynamic local grid refinement for flow in a porous medium. Computer Methods in Applied Mechanics and Engineering 1996; 131:287-308.
-
(1996)
Computer Methods in Applied Mechanics and Engineering
, vol.131
, pp. 287-308
-
-
Edwards, M.G.1
-
25
-
-
0031965041
-
Cross flow, tensors and finite volume approximation with deferred correction
-
Edwards MG. Cross flow, tensors and finite volume approximation with deferred correction. Computer Methods in Applied Mechanics and Engineering 1998; 151:143-161.
-
(1998)
Computer Methods in Applied Mechanics and Engineering
, vol.151
, pp. 143-161
-
-
Edwards, M.G.1
-
26
-
-
78650388434
-
Global and local central non-upwind finite volume schemes for hyperbolic conservation laws in porous media
-
DOI: 10.1002/fld.2178.
-
Edwards MG. Global and local central non-upwind finite volume schemes for hyperbolic conservation laws in porous media. International Journal for Numerical Methods in Fluids 2009; DOI: 10.1002/fld.2178.
-
(2009)
International Journal for Numerical Methods in Fluids
-
-
Edwards, M.G.1
-
27
-
-
79961039501
-
-
Physically based higher order godunov schemes for compositional simulation. Proceedings on SPE Reservoir Simulation Symposium, Paper 66403, Houston TX, U.S.A., 11-14 February
-
Thiele M, Edwards MG. Physically based higher order godunov schemes for compositional simulation. Proceedings on SPE Reservoir Simulation Symposium, Paper 66403, Houston TX, U.S.A., 11-14 February 2001.
-
(2001)
-
-
Thiele, M.1
Edwards, M.G.2
-
28
-
-
33746150737
-
Higher-resolution hyperbolic-coupled-elliptic flux-continuous CVD schemes on structured and unstructured grids in 2-D
-
Edwards MG. Higher-resolution hyperbolic-coupled-elliptic flux-continuous CVD schemes on structured and unstructured grids in 2-D. International Journal for Numerical Methods in Fluids 2006; 51:1059-1077.
-
(2006)
International Journal for Numerical Methods in Fluids
, vol.51
, pp. 1059-1077
-
-
Edwards, M.G.1
-
29
-
-
33746119449
-
Higher-resolution hyperbolic-coupled-elliptic flux-continuous CVD schemes on structured and unstructured grids in 3-D
-
Edwards MG. Higher-resolution hyperbolic-coupled-elliptic flux-continuous CVD schemes on structured and unstructured grids in 3-D. International Journal for Numerical Methods in Fluids 2006; 51:1079-1095.
-
(2006)
International Journal for Numerical Methods in Fluids
, vol.51
, pp. 1079-1095
-
-
Edwards, M.G.1
-
30
-
-
61349190505
-
Higher resolution convection schemes for flow in porous media on highly distorted unstructured grids
-
Lamine S, Edwards MG. Higher resolution convection schemes for flow in porous media on highly distorted unstructured grids. International Journal for Numerical Methods in Engineering 2008; 76:1139-1158.
-
(2008)
International Journal for Numerical Methods in Engineering
, vol.76
, pp. 1139-1158
-
-
Lamine, S.1
Edwards, M.G.2
-
31
-
-
0000193726
-
A triangle based mixed finite element finite volume technique for modeling two phase flow through porous media
-
Durlofsky LJ. A triangle based mixed finite element finite volume technique for modeling two phase flow through porous media. Journal of Computational Physics 1993; 105(2):252-266.
-
(1993)
Journal of Computational Physics
, vol.105
, Issue.2
, pp. 252-266
-
-
Durlofsky, L.J.1
-
32
-
-
79961050685
-
-
An introduction to upwind finite volume and finite element methods: Some unifying and contrasting themes. VKI Lecture Series on Higher Order Discretization Methods
-
Barth T. An introduction to upwind finite volume and finite element methods: Some unifying and contrasting themes. VKI Lecture Series on Higher Order Discretization Methods, 2005.
-
(2005)
-
-
Barth, T.1
-
34
-
-
0002478314
-
M-matrix flux splitting for general full tensor discretization operators on structured and unstructured grids
-
Edwards MG. M-matrix flux splitting for general full tensor discretization operators on structured and unstructured grids. Journal of Computational Physics 2000; 160:1-28.
-
(2000)
Journal of Computational Physics
, vol.160
, pp. 1-28
-
-
Edwards, M.G.1
-
35
-
-
44249112379
-
Positive definite q-families of continuous subcell Darcy-flux CVD(MPFA) finite-volume schemes and the mixed finite element method
-
Edwards MG, Pal M. Positive definite q-families of continuous subcell Darcy-flux CVD(MPFA) finite-volume schemes and the mixed finite element method. International Journal for Numerical Methods in Fluids 2008; 57:355-387.
-
(2008)
International Journal for Numerical Methods in Fluids
, vol.57
, pp. 355-387
-
-
Edwards, M.G.1
Pal, M.2
-
36
-
-
52749093231
-
A quasi-positive family of continuous Darcy-flux finite volume schemes with full pressure support
-
Edwards MG, Zheng H. A quasi-positive family of continuous Darcy-flux finite volume schemes with full pressure support. Journal of Computational Physics 2008; 227:9333-9364.
-
(2008)
Journal of Computational Physics
, vol.227
, pp. 9333-9364
-
-
Edwards, M.G.1
Zheng, H.2
-
37
-
-
70449732080
-
Double-families of quasi-positive Darcy-flux approximations with highly anisotropic tensors on structured and unstructured grids
-
Edwards MG, Zheng H. Double-families of quasi-positive Darcy-flux approximations with highly anisotropic tensors on structured and unstructured grids. Journal of Computational Physics 2010; 229:594-625.
-
(2010)
Journal of Computational Physics
, vol.229
, pp. 594-625
-
-
Edwards, M.G.1
Zheng, H.2
-
38
-
-
67649324535
-
Symmetric positive definite flux-continuous full-tensor finite-volume schemes on unstructured cell centered triangular grids
-
Friis HA, Edwards MG, Mykkeltveit J. Symmetric positive definite flux-continuous full-tensor finite-volume schemes on unstructured cell centered triangular grids. SIAM Journal on Scientific Computing 2008; 31(2):1192-1220.
-
(2008)
SIAM Journal on Scientific Computing
, vol.31
, Issue.2
, pp. 1192-1220
-
-
Friis, H.A.1
Edwards, M.G.2
Mykkeltveit, J.3
-
40
-
-
85044230822
-
Reservoir simulation; mathematical techniques in oil recovery
-
SIAM: Philadelphia, PA
-
Chen Z. Reservoir simulation; mathematical techniques in oil recovery. CBMS-NSF Regional Conference Series in Applied Mathematics, vol. 77. SIAM: Philadelphia, PA, 2007; 219.
-
(2007)
CBMS-NSF Regional Conference Series in Applied Mathematics
, vol.77
, pp. 219
-
-
Chen, Z.1
-
42
-
-
79961083608
-
-
A reservoir simulator based on front-tracking. Conference on the Mathematics of Oil Recovery, Cambridge, July
-
Bratvedt F, Bratvedt K, Buchholz C, Rian DT, Risebro NH. A reservoir simulator based on front-tracking. Conference on the Mathematics of Oil Recovery, Cambridge, July, 1989.
-
(1989)
-
-
Bratvedt, F.1
Bratvedt, K.2
Buchholz, C.3
Rian, D.T.4
Risebro, N.H.5
-
43
-
-
0026813994
-
-
A New Front-Tracking Method for Reservoir Simulation. SPE Reservoir Engineering; - The paper (SPE 19805) first presented at the 1989 SPE ATCE in San Antonio, 8-11 October.
-
Bratvedt F, Bratvedt K, Buchholz C, Holden L, Holden H, Risebro NH. A New Front-Tracking Method for Reservoir Simulation. SPE Reservoir Engineering 1992; 107-116. The paper (SPE 19805) first presented at the 1989 SPE ATCE in San Antonio, 8-11 October.
-
(1992)
, pp. 107-116
-
-
Bratvedt, F.1
Bratvedt, K.2
Buchholz, C.3
Holden, L.4
Holden, H.5
Risebro, N.H.6
-
44
-
-
0030085448
-
-
Simulating flow in heterogeneous systems using streamtubes and streamlines. SPE Reservoir Engineering
-
Thiele MR, Batycky RP, Blunt MJ, Orr Jr FM. Simulating flow in heterogeneous systems using streamtubes and streamlines. SPE Reservoir Engineering 1996; 5-12.
-
(1996)
, pp. 5-12
-
-
Thiele, M.R.1
Batycky, R.P.2
Blunt, M.J.3
Orr Jr, F.M.4
-
46
-
-
0018504139
-
A nine point finite difference reservoir simulator for realistic prediction of adverse mobility ratio displacements
-
Yanosik J, McCracken TA. A nine point finite difference reservoir simulator for realistic prediction of adverse mobility ratio displacements. SPE Journal 1979; 19:253-262.
-
(1979)
SPE Journal
, vol.19
, pp. 253-262
-
-
Yanosik, J.1
McCracken, T.A.2
-
47
-
-
79961081730
-
-
Generation of a reference petrophysical data set. The Stanford V Reservoir. Stanford Center for Reservoir Forecasting Report
-
Mao S, Journel AG. Generation of a reference petrophysical data set. The Stanford V Reservoir. Stanford Center for Reservoir Forecasting Report, 1999.
-
(1999)
-
-
Mao, S.1
Journel, A.G.2
|