메뉴 건너뛰기




Volumn 210, Issue 2, 2005, Pages 656-675

Numerical methods for multiscale transport equations and application to two-phase porous media flow

Author keywords

Multiscale transport equation; Numerical methods; Two phase flow in porous media

Indexed keywords

NONLINEAR EQUATIONS; POROUS MATERIALS; TWO PHASE FLOW;

EID: 23844496838     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2005.05.009     Document Type: Article
Times cited : (21)

References (20)
  • 1
    • 21144473666 scopus 로고
    • Homogenization and two-scale convergence
    • G. Allaire Homogenization and two-scale convergence SIAM J. Math. Anal. 23 1992 1482-1518
    • (1992) SIAM J. Math. Anal. , vol.23 , pp. 1482-1518
    • Allaire, G.1
  • 2
    • 84968510911 scopus 로고
    • Numerical solution of the Navier-Stokes equations
    • A.J. Chorin Numerical solution of the Navier-Stokes equations Math. Comput. 22 1968 745-762
    • (1968) Math. Comput. , vol.22 , pp. 745-762
    • Chorin, A.J.1
  • 3
    • 5844349210 scopus 로고    scopus 로고
    • Upscaling for reservoir simulation
    • M.A. Christie Upscaling for reservoir simulation J. Petrol. Technol. 48 1996 1004-1010
    • (1996) J. Petrol. Technol. , vol.48 , pp. 1004-1010
    • Christie, M.A.1
  • 4
    • 84990622690 scopus 로고
    • Homogenization of linear and nonlinear transport equations
    • E W
    • W. E Homogenization of linear and nonlinear transport equations Commun. Pure Appl. Math. XLV 1992 301-326
    • (1992) Commun. Pure Appl. Math. , vol.45 , pp. 301-326
  • 5
    • 85128805678 scopus 로고    scopus 로고
    • The heterogeneous multi-scale methods
    • E W
    • W. E B. Engquist The heterogeneous multi-scale methods Commun. Math. Sci. 1 2003 87-120
    • (2003) Commun. Math. Sci. , vol.1 , pp. 87-120
    • Engquist, B.1
  • 6
    • 85190128359 scopus 로고    scopus 로고
    • The heterogeneous multi-scale method for homogenization problems
    • W.E Simulat., submitted. Available at
    • W.E, B. Engquist, The heterogeneous multi-scale method for homogenization problems, Multiscale Model. Simulat., submitted. Available at .
    • Multiscale Model
    • Engquist, B.1
  • 7
    • 13644268174 scopus 로고    scopus 로고
    • Analysis of the heterogeneous multiscale method for elliptic homogenization problems
    • E W
    • W. E P.B. Ming P.W. Zhang Analysis of the heterogeneous multiscale method for elliptic homogenization problems J. AMS 18 2005 121-156
    • (2005) J. AMS , vol.18 , pp. 121-156
    • Ming, P.B.1    Zhang, P.W.2
  • 8
    • 0036702630 scopus 로고    scopus 로고
    • Numerical modeling of subgrid heterogeneity in two phase flow simulations
    • Y. Efendiev L.J. Durlofsky Numerical modeling of subgrid heterogeneity in two phase flow simulations Water Resour. Res. 38 2002 1128-1138
    • (2002) Water Resour. Res. , vol.38 , pp. 1128-1138
    • Efendiev, Y.1    Durlofsky, L.J.2
  • 9
    • 35248882672 scopus 로고    scopus 로고
    • A generalized convection-diffusion model for subgrid transport in porous media
    • Y. Efendiev L.J. Durlofsky A generalized convection-diffusion model for subgrid transport in porous media Multiscale Model. Simulat. 1 2003 504-526
    • (2003) Multiscale Model. Simulat. , vol.1 , pp. 504-526
    • Efendiev, Y.1    Durlofsky, L.J.2
  • 10
    • 0141599961 scopus 로고
    • Computation of oscillatory solutions to hyperbolic differential equations
    • B. Engquist Computation of oscillatory solutions to hyperbolic differential equations Springer Lect. Notes Math. 1270 1987 10-22
    • (1987) Springer Lect. Notes Math. , vol.1270 , pp. 10-22
    • Engquist, B.1
  • 11
    • 84971110219 scopus 로고
    • The perturbed test function method for viscosity solutions of nonlinear PDE
    • L.C. Evans The perturbed test function method for viscosity solutions of nonlinear PDE Proc. Roy. Soc. Edinburgh 111A 1989 359-375
    • (1989) Proc. Roy. Soc. Edinburgh , vol.111 A , pp. 359-375
    • Evans, L.C.1
  • 12
    • 0028667180 scopus 로고
    • Macrodispersion for two-phase, immisible flow in porous media
    • P. Langlo M.S. Espedal Macrodispersion for two-phase, immisible flow in porous media Adv. Water Resour. 17 1994 297-316
    • (1994) Adv. Water Resour. , vol.17 , pp. 297-316
    • Langlo, P.1    Espedal, M.S.2
  • 14
    • 13644266686 scopus 로고    scopus 로고
    • Numerical methods for multiscale elliptic problems
    • Preprint Available at
    • P.B. Ming, X. Yue, Numerical methods for multiscale elliptic problems. Preprint 2003. Available at .
    • (2003)
    • Ming, P.B.1    Yue, X.2
  • 15
    • 0000315621 scopus 로고
    • A general convergence result for a functional related to the theory of homogenization
    • G. Nguetseng A general convergence result for a functional related to the theory of homogenization SIAM J. Math. Anal. 20 1989 608-623
    • (1989) SIAM J. Math. Anal. , vol.20 , pp. 608-623
    • Nguetseng, G.1
  • 16
    • 0003071531 scopus 로고    scopus 로고
    • Estimation of local modelling error and global-oriented adaptive modeling of heterogeneous materials: Error estimates and adaptive algorithms
    • J.T. Oden K.S. Vemaganti Estimation of local modelling error and global-oriented adaptive modeling of heterogeneous materials: Error estimates and adaptive algorithms J. Comput. Phys. 164 2000 22-47
    • (2000) J. Comput. Phys. , vol.164 , pp. 22-47
    • Oden, J.T.1    Vemaganti, K.S.2
  • 18
    • 0342859455 scopus 로고
    • Solutions oscillantes des quations de Carleman
    • Goulaouic - Meyer - Schwartz Seminar, 1980-1981, Exp. No. XII cole Polytech., Palaiseau
    • L. Tartar, Solutions oscillantes des quations de Carleman, Goulaouic - Meyer - Schwartz Seminar, 1980-1981, Exp. No. XII, 15 pp., cole Polytech., Palaiseau, 1981.
    • (1981) , pp. 15
    • Tartar, L.1
  • 20
    • 0034148776 scopus 로고    scopus 로고
    • Stochastic formulation for uncertainty analysis of two-phase flow in heterogeneous reservoirs
    • D. Zhang L. Li H.A. Tchelepi Stochastic formulation for uncertainty analysis of two-phase flow in heterogeneous reservoirs SPE J. 5 2000 60-70
    • (2000) SPE J. , vol.5 , pp. 60-70
    • Zhang, D.1    Li, L.2    Tchelepi, H.A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.