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Volumn 12, Issue 4, 2008, Pages 437-449

Numerical modeling of the flow and transport of radionuclides in heterogeneous porous media

Author keywords

Finite volume method; Flow; Mixed hybrid finite element; Nuclear waste; Porous media; Transport

Indexed keywords

COMPUTER SIMULATION; FINITE ELEMENT METHOD; FINITE VOLUME METHOD; FLOW OF SOLIDS; PIECEWISE LINEAR TECHNIQUES; POROUS MATERIALS; RADIOISOTOPES; TRANSPORT PROPERTIES;

EID: 56449084717     PISSN: 14200597     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10596-008-9083-0     Document Type: Article
Times cited : (13)

References (34)
  • 1
    • 11544279515 scopus 로고    scopus 로고
    • Discretization on unstructured grids for inhomogeneous, anisotropic media. Part I: Derivation of the methods
    • Aavatsmark, I., Barkve, T., Bøe, ø., Mannseth, T.: Discretization on unstructured grids for inhomogeneous, anisotropic media. Part I: Derivation of the methods. SIAM J. Sci. Comput. 19, 1700-1716 (1998)
    • (1998) SIAM J. Sci. Comput. , vol.19 , pp. 1700-1716
    • Aavatsmark, I.1    Barkve, T.2    Bøe, Ø.3    Mannseth, T.4
  • 2
    • 11544277985 scopus 로고    scopus 로고
    • Discretization on unstructured grids for inhomogeneous, anisotropic media. Part II: Discussion and numerical results
    • Aavatsmark, I., Barkve, T., Bøe, Ø., Mannseth, T.: Discretization on unstructured grids for inhomogeneous, anisotropic media. Part II: Discussion and numerical results. SIAM J. Sci. Comput. 19, 1717-1736 (1998)
    • (1998) SIAM J. Sci. Comput. , vol.19 , pp. 1717-1736
    • Aavatsmark, I.1    Barkve, T.2    Bøe, Ø.3    Mannseth, T.4
  • 3
    • 0037045084 scopus 로고    scopus 로고
    • Convergence of finite volume schemes for a degenerate convection-diffusion equation arising in flow in porous media
    • Afif, M., Amaziane, B.: Convergence of finite volume schemes for a degenerate convection-diffusion equation arising in flow in porous media. Comput. Methods Appl. Mech. Eng. 191, 5265-5286 (2002)
    • (2002) Comput. Methods Appl. Mech. Eng. , vol.191 , pp. 5265-5286
    • Afif, M.1    Amaziane, B.2
  • 4
    • 4043178468 scopus 로고    scopus 로고
    • Numerical simulation of two-phase flow through heterogeneous porous media
    • Afif, M., Amaziane, B.: Numerical simulation of two-phase flow through heterogeneous porous media. Numer. Algorithms 34, 117-125 (2003)
    • (2003) Numer. Algorithms , vol.34 , pp. 117-125
    • Afif, M.1    Amaziane, B.2
  • 5
    • 43249094234 scopus 로고    scopus 로고
    • Convergence analysis of an approximation to miscible fluid flows in porous media by combining mixed finite element and finite volume methods
    • Amaziane, B., El Ossmani, M.: Convergence analysis of an approximation to miscible fluid flows in porous media by combining mixed finite element and finite volume methods. Numer. Methods Partial Differ. Equ. 24, 799-832 (2008)
    • (2008) Numer. Methods Partial Differ. Equ. , vol.24 , pp. 799-832
    • Amaziane, B.1    El Ossmani, M.2
  • 6
    • 0035735161 scopus 로고    scopus 로고
    • Equivalent permeability and simulation of two-phase flow in heterogeneous porous media
    • Amaziane, B., Hontans, T., Koebbe, J.: Equivalent permeability and simulation of two-phase flow in heterogeneous porous media. Comput. Geosci. 5, 279-300 (2001)
    • (2001) Comput. Geosci. , vol.5 , pp. 279-300
    • Amaziane, B.1    Hontans, T.2    Koebbe, J.3
  • 7
    • 56449098193 scopus 로고    scopus 로고
    • JHomogenizer: A computational tool for upscaling permeability for flow in heterogeneous porous media
    • AmazianeA B., Koebbe, J.: JHomogenizer: a computational tool for upscaling permeability for flow in heterogeneous porous media. Comput. Geosci. 10, 343-359 (2006)
    • (2006) Comput. Geosci. , vol.10 , pp. 343-359
    • Amaziane, B.1    Koebbe, J.2
  • 9
    • 0000325197 scopus 로고    scopus 로고
    • A nonlinear mixed finite element method for a degenerate parabolic equation arising in flow media
    • Arbogast, T., Wheeler, M.F., Zhang, N.Y.: A nonlinear mixed finite element method for a degenerate parabolic equation arising in flow media. SIAM J. Numer. Anal. 33, 1669-1687 (1996)
    • (1996) SIAM J. Numer. Anal. , vol.33 , pp. 1669-1687
    • Arbogast, T.1    Wheeler, M.F.2    Zhang, N.Y.3
  • 10
    • 21444435219 scopus 로고    scopus 로고
    • Homogenization of two phase flow through randomly heterogeneous porous media
    • Badea, A., Bourgeat, A.: Homogenization of two phase flow through randomly heterogeneous porous media. Z. Angew. Math. Mech. 76, 81-84 (1996)
    • (1996) Z. Angew. Math. Mech. , vol.76 , pp. 81-84
    • Badea, A.1    Bourgeat, A.2
  • 11
    • 0040651781 scopus 로고    scopus 로고
    • New decomposition of shape functions spaces of mixed finite element methods
    • Bendali, A., Raynaud, N., Thomas, J.M.: New decomposition of shape functions spaces of mixed finite element methods. Appl. Math. Lett. 9, 33-38 (1996)
    • (1996) Appl. Math. Lett. , vol.9 , pp. 33-38
    • Bendali, A.1    Raynaud, N.2    Thomas, J.M.3
  • 14
    • 84900545736 scopus 로고    scopus 로고
    • Adaptative finite volume methods for displacement problems in porous media
    • Burkle, D., Ohlberger, M.: Adaptative finite volume methods for displacement problems in porous media. Comput. Visual. Sci. 5, 92-106 (2002)
    • (2002) Comput. Visual. Sci. , vol.5 , pp. 92-106
    • Burkle, D.1    Ohlberger, M.2
  • 16
    • 0003015495 scopus 로고
    • Mixed-hybrid finite elements and cell-centred finite volumes for two-phase flow in porous media
    • In: Bourgeat, A.P., et al. (eds.) World Scientific, Singapore
    • Chavent, G., Jaffré, J., Roberts, J.E.: Mixed-hybrid finite elements and cell-centred finite volumes for two-phase flow in porous media. In: Bourgeat, A.P., et al. (eds.) Proc. of the Conference on Mathematical Modelling of Flow Through Porous Media, pp. 100-114. World Scientific, Singapore (1995)
    • (1995) Proc. of the Conference on Mathematical Modelling of Flow Through Porous Media , pp. 100-114
    • Chavent, G.1    Jaffré, J.2    Roberts, J.E.3
  • 19
    • 4043130714 scopus 로고    scopus 로고
    • Computational sciences in environmental applications
    • In: Bristeau, M.-O., et al. (eds.) Wiley, New York
    • Ewing, R.E.: Computational sciences in environmental applications. In: Bristeau, M.-O., et al. (eds.) Proc. Computational Science for the 21st Century, pp. 250-259. Wiley, New York (1997)
    • (1997) Proc. Computational Science for the 21st Century , pp. 250-259
    • Ewing, R.E.1
  • 20
    • 0000156657 scopus 로고
    • Convergence d'un schéma de type éléments finis-volumes finis pour un systéme formé d'une équation elliptique et d'une équation hyperbolique
    • Eymard, R., Gallouët, T.: Convergence d'un schéma de type éléments finis-volumes finis pour un systéme formé d'une équation elliptique et d'une équation hyperbolique. Math. Mod. Num. Anal. 27, 843-861 (1993)
    • (1993) Math. Mod. Num. Anal. , vol.27 , pp. 843-861
    • Eymard, R.1    Gallouët, T.2
  • 21
    • 0012915707 scopus 로고    scopus 로고
    • Error estimates for the approximate solutions of a nonlinear hyperbolic equation given by finite volume schemes
    • Eymard, R., Gallouët, T., Ghilani, M., Herbin, R.: Error estimates for the approximate solutions of a nonlinear hyperbolic equation given by finite volume schemes. IMA J. Num. Anal. 18, 563-594 (1998)
    • (1998) IMA J. Num. Anal. , vol.18 , pp. 563-594
    • Eymard, R.1    Gallouët, T.2    Ghilani, M.3    Herbin, R.4
  • 22
    • 70350322945 scopus 로고    scopus 로고
    • The finite volume method
    • In: Ciarlet, P.G., Lions, J.L. (eds.) North-Holland, Amsterdam
    • Eymard, R., Gallouët, T., Herbin, R.: The finite volume method. In: Ciarlet, P.G., Lions, J.L. (eds.) Handbook of Numerical Analysis, pp. 715-1022. North-Holland, Amsterdam (2000)
    • (2000) Handbook of Numerical Analysis , pp. 715-1022
    • Eymard, R.1    Gallouët, T.2    Herbin, R.3
  • 23
    • 0036022623 scopus 로고    scopus 로고
    • Convergence of a finite volume scheme for nonlinear degenerate parabolic equations
    • Eymard, R., Gallouët, T., Herbin, R., Michel, A.: Convergence of a finite volume scheme for nonlinear degenerate parabolic equations. Numer. Math. 92, 41-82 (2002)
    • (2002) Numer. Math. , vol.92 , pp. 41-82
    • Eymard, R.1    Gallouët, T.2    Herbin, R.3    Michel, A.4
  • 24
    • 33750447011 scopus 로고    scopus 로고
    • A combined finite volume-nonconforming/mixed-hybrid finite element scheme for degenerate parabolic problems
    • Eymard, R., Hilhorst, D., Vohralik, M.: A combined finite volume-nonconforming/mixed-hybrid finite element scheme for degenerate parabolic problems. Numer. Math. 105, 73-131 (2006)
    • (2006) Numer. Math. , vol.105 , pp. 73-131
    • Eymard, R.1    Hilhorst, D.2    Vohralik, M.3
  • 26
    • 5644283983 scopus 로고    scopus 로고
    • Herbin, R., Kröner, D. (eds.): Cell-vertex. Hermes Penton Science, London
    • Herbin, R., Kröner, D. (eds.): Finite Volumes for Complex Applications III. Cell-vertex. Hermes Penton Science, London (2002)
    • (2002) Finite Volumes for Complex Applications III
  • 31
    • 0031334657 scopus 로고    scopus 로고
    • Convergence of a mixed finite element-finite volume methods for two phase flow in porous media
    • Ohlberger, M.: Convergence of a mixed finite element-finite volume methods for two phase flow in porous media. East-West J. Numer. Math. 5, 183-210 (1997)
    • (1997) East-West J. Numer. Math. , vol.5 , pp. 183-210
    • Ohlberger, M.1
  • 33
    • 70350630547 scopus 로고    scopus 로고
    • Mixed and hybrid methods
    • In: Ciarlet, P.G., Lions, J.L. (eds.) North-Holland, Amsterdam
    • Roberts, J.E., Thomas, J.M.: Mixed and hybrid methods. In: Ciarlet, P.G., Lions, J.L. (eds.) Handbook of Numerical Analysis, pp. 523-639. North-Holland, Amsterdam (2000)
    • (2000) Handbook of Numerical Analysis , pp. 523-639
    • Roberts, J.E.1    Thomas, J.M.2
  • 34
    • 0040598858 scopus 로고    scopus 로고
    • Numerical and theoretical study of a dual mesh method using finite volume schemes for two phase flow problems in porous media
    • Verdière, S., Vignal, M.H.: Numerical and theoretical study of a dual mesh method using finite volume schemes for two phase flow problems in porous media. Numer. Math. 80, 601-639 (1998)
    • (1998) Numer. Math. , vol.80 , pp. 601-639
    • Verdière, S.1    Vignal, M.H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.