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Volumn 77, Issue 6, 2012, Pages 887-909

Numerical scheme for coupling two-phase compositional porous-media flow and one-phase compositional free flow

Author keywords

box method; compositional flow; coupling conditions; evaporation; free flow; interface; porous media; two phase flow

Indexed keywords

AMBIENT AIR; BOX-METHOD; COMPOSITIONAL FLOW; COUPLING CONDITION; EFFECT OF TEMPERATURE; EVAPORATION PROCESS; EVAPORATION RATE; FINITE VOLUME SCHEMES; FINITE-VOLUME; FLUX BALANCE; FREE FLOW; GLOBAL MATRIX; INTERFACE CONDITIONS; NONISOTHERMAL; NUMERICAL EXAMPLE; NUMERICAL IMPLEMENTATION; NUMERICAL SCHEME; PARTIALLY SATURATED POROUS MEDIA; POROUS-MEDIA FLOW; SET-UPS; SUBMODELS;

EID: 84870160387     PISSN: 02724960     EISSN: 14643634     Source Type: Journal    
DOI: 10.1093/imamat/hxs048     Document Type: Article
Times cited : (50)

References (47)
  • 1
    • 0035916798 scopus 로고    scopus 로고
    • Analysis of fluid flow and heat transfer interfacial conditions between a porous medium and a fluid layer
    • Alazmi, B. & Vafai, K. (2001) Analysis of fluid flow and heat transfer interfacial conditions between a porous medium and a fluid layer. Int. J. Heat Mass Transfer, 44, 1735-1749.
    • (2001) Int. J. Heat Mass Transfer , vol.44 , pp. 1735-1749
    • Alazmi, B.1    Vafai, K.2
  • 2
    • 39149137573 scopus 로고    scopus 로고
    • A computational method for approximating a Darcy-Stokes system governing a vuggy porous medium
    • Arbogast, T. & Brunson, D. (2007) A computational method for approximating a Darcy-Stokes system governing a vuggy porous medium. Comput. Geosci., 11, 207-218.
    • (2007) Comput. Geosci , vol.11 , pp. 207-218
    • Arbogast, T.1    Brunson, D.2
  • 3
    • 47749131178 scopus 로고    scopus 로고
    • A generic grid interface for parallel and adaptive scientific computing. Part II: Implementation and tests in DUNE
    • Bastian, P., Blatt, M., Dedner, A., Engwer, C., Klöfkorn, R., Kornhuber, R., Ohlberger, M. & Sander, O. (2008) A generic grid interface for parallel and adaptive scientific computing. Part II: implementation and tests in DUNE. Computing, 82, 121-138.
    • (2008) Computing , vol.82 , pp. 121-138
    • Bastian, P.1    Blatt, M.2    Dedner, A.3    Engwer, C.4    Klöfkorn, R.5    Kornhuber, R.6    Ohlberger, M.7    Sander, O.8
  • 4
    • 77957809524 scopus 로고    scopus 로고
    • Generic implementation of finite element methods in the Distributed and Unified Numerics Environment (DUNE)
    • Bastian, P., Heimann, D. & Marnach, S. (2010) Generic implementation of finite element methods in the Distributed and Unified Numerics Environment (DUNE). Kybernetika, 46, 294-315.
    • (2010) Kybernetika , vol.46 , pp. 294-315
    • Bastian, P.1    Heimann, D.2    Marnach, S.3
  • 5
    • 78149488189 scopus 로고
    • Boundary conditions at a naturally permeable wall
    • Beavers, G. S. & Joseph, D. D. (1967) Boundary conditions at a naturally permeable wall. J. Fluid Mech., 30, 197-207.
    • (1967) J. Fluid Mech , vol.30 , pp. 197-207
    • Beavers, G.S.1    Joseph, D.D.2
  • 6
    • 34250582623 scopus 로고
    • A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles
    • Brinkman, H. (1947) A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles. Appl. Sci. Res., A1, 27-34.
    • (1947) Appl. Sci. Res , vol.A1 , pp. 27-34
    • Brinkman, H.1
  • 8
    • 77649168106 scopus 로고    scopus 로고
    • Finite element approximations for Stokes-Darcy flow with Beavers-Joseph interface conditions
    • Cao, Y., Gunzburger, M., Hu, X., Hua, F., Wang, X. & Zhao, W. (2010) Finite element approximations for Stokes-Darcy flow with Beavers-Joseph interface conditions. SIAM J. Numer. Anal., 47, 4239-4256.
    • (2010) SIAM J. Numer. Anal , vol.47 , pp. 4239-4256
    • Cao, Y.1    Gunzburger, M.2    Hu, X.3    Hua, F.4    Wang, X.5    Zhao, W.6
  • 9
    • 33646708265 scopus 로고    scopus 로고
    • Boundary conditions at a planar fluid-porous interface for a Poiseuille flow
    • Chandesris, M. & Jamet, D. (2006) Boundary conditions at a planar fluid-porous interface for a Poiseuille flow. Int. J. Heat Mass Transfer, 49, 2137-2150.
    • (2006) Int. J. Heat Mass Transfer , vol.49 , pp. 2137-2150
    • Chandesris, M.1    Jamet, D.2
  • 10
    • 34247562882 scopus 로고    scopus 로고
    • Boundary conditions at a fluid-porous interface: An a priori estimation of the stress jump coefficients
    • Chandesris, M. & Jamet, D. (2007) Boundary conditions at a fluid-porous interface: an a priori estimation of the stress jump coefficients. Int. J. Heat Mass Transfer, 50, 3422-3436.
    • (2007) Int. J. Heat Mass Transfer , vol.50 , pp. 3422-3436
    • Chandesris, M.1    Jamet, D.2
  • 11
    • 67650627051 scopus 로고    scopus 로고
    • Jump conditions and surface-excess quantities at a fluid/porous interface: A multi-scale approach
    • Chandesris, M. & Jamet, D. (2009) Jump conditions and surface-excess quantities at a fluid/porous interface: a multi-scale approach. Transp. Porous Med., 78, 419-438.
    • (2009) Transp. Porous Med , vol.78 , pp. 419-438
    • Chandesris, M.1    Jamet, D.2
  • 12
    • 71649102110 scopus 로고    scopus 로고
    • Numerical modelling of coupled surface and subsurface flow systems
    • Chidyagwai, P. & Riviére, B. (2010) Numerical modelling of coupled surface and subsurface flow systems. Adv. Water Res., 33, 92-105.
    • (2010) Adv. Water Res , vol.33 , pp. 92-105
    • Chidyagwai, P.1    Riviére, B.2
  • 13
    • 0036563508 scopus 로고    scopus 로고
    • Numerical simulation of nonisothermal multiphase multicomponent processes in porous media-1. An efficient solution technique
    • Class, H., Helmig, R. & Bastian, P. (2002) Numerical simulation of nonisothermal multiphase multicomponent processes in porous media-1. An efficient solution technique. Adv. Water Res., 25, 533-550.
    • (2002) Adv. Water Res , vol.25 , pp. 533-550
    • Class, H.1    Helmig, R.2    Bastian, P.3
  • 15
    • 15744400864 scopus 로고    scopus 로고
    • Convergence analysis of a subdomain iterative method for the finite element approximation of the coupling of Stokes and Darcy equations
    • Discacciati, M. & Quarteroni A. (2004) Convergence analysis of a subdomain iterative method for the finite element approximation of the coupling of Stokes and Darcy equations. Comput. Visual Sci., 6, 93-103.
    • (2004) Comput. Visual Sci , vol.6 , pp. 93-103
    • Discacciati, M.1    Quarteroni, A.2
  • 16
    • 0036776588 scopus 로고    scopus 로고
    • Mathematical and numerical models for coupling surface and groundwater flows
    • Discacciati, M., Miglio, E. & Quarteroni A. (2002) Mathematical and numerical models for coupling surface and groundwater flows. Appl. Num. Math., 43, 57-74.
    • (2002) Appl. Num. Math , vol.43 , pp. 57-74
    • Discacciati, M.1    Miglio, E.2    Quarteroni, A.3
  • 17
    • 46949098907 scopus 로고    scopus 로고
    • Robin-Robin domain decomposition methods for the Stokes-Darcy coupling
    • Discacciati, M., Quarteroni, A. & Valli, A. (2007) Robin-Robin domain decomposition methods for the Stokes-Darcy coupling. SIAM J. Numer. Anal., 45, 1246-1268.
    • (2007) SIAM J. Numer. Anal , vol.45 , pp. 1246-1268
    • Discacciati, M.1    Quarteroni, A.2    Valli, A.3
  • 19
    • 0002212220 scopus 로고
    • Stabilized finite element methods for the Stokes problem
    • (M. Gunzburger & R. A. Nicolaides, eds). Cambridge: Cambridge University Press
    • Franca, L. P., Hughes, T. J. R. & Stenberg, R. (1993) Stabilized finite element methods for the Stokes problem. In Incompressible Computational Fluid Dynamics (M. Gunzburger & R. A. Nicolaides, eds). Cambridge: Cambridge University Press, pp. 87-108.
    • (1993) Incompressible Computational Fluid Dynamics , pp. 87-108
    • Franca, L.P.1    Hughes, T.J.R.2    Stenberg, R.3
  • 20
    • 70349434543 scopus 로고    scopus 로고
    • DG approximation of coupled Navier-Stokes and Darcy equations by Beaver-Joseph-Saffman interface condition
    • Girault, V. & Rivière, B. (2009) DG approximation of coupled Navier-Stokes and Darcy equations by Beaver-Joseph-Saffman interface condition. SIAM J. Numer. Anal., 47, 2052-2089.
    • (2009) SIAM J. Numer. Anal , vol.47 , pp. 2052-2089
    • Girault, V.1    Rivière, B.2
  • 22
    • 0024527265 scopus 로고
    • Derivation of conditions describing transport across zones of reduced dynamics within multiphase systems
    • Hassanizadeh, S. M. & Gray,W. G. (1989) Derivation of conditions describing transport across zones of reduced dynamics within multiphase systems. Water Resour. Res., 25, 529-539.
    • (1989) Water Resour. Res , vol.25 , pp. 529-539
    • Hassanizadeh, S.M.1    Grayw, G.2
  • 23
    • 0034528515 scopus 로고    scopus 로고
    • Node-centered finite volume discretizations for the numerical simulation of multiphase flow in heterogeneous porous media
    • Huber, R. & Helmig, R. (2000) Node-centered finite volume discretizations for the numerical simulation of multiphase flow in heterogeneous porous media. Comput. Geosci., 4, 141-164.
    • (2000) Comput. Geosci , vol.4 , pp. 141-164
    • Huber, R.1    Helmig, R.2
  • 25
    • 67650587821 scopus 로고    scopus 로고
    • On the equivalence of the discontinuous one-and two-domain approaches for the modeling of transport phenomena at a fluid/porous interface
    • Jamet, D., Chandesris, M. & Goyeau, B. (2009) On the equivalence of the discontinuous one-and two-domain approaches for the modeling of transport phenomena at a fluid/porous interface. Transp. Porous Media, 78, 403-418.
    • (2009) Transp. Porous Media , vol.78 , pp. 403-418
    • Jamet, D.1    Chandesris, M.2    Goyeau, B.3
  • 26
    • 0043238030 scopus 로고    scopus 로고
    • On the interface boundary condition of Beavers, Joseph and Saffman
    • Jäger, W. & Mikelíc, A. (2000) On the interface boundary condition of Beavers, Joseph and Saffman. SIAM J. Appl. Math., 60, 1111-1127.
    • (2000) SIAM J. Appl. Math , vol.60 , pp. 1111-1127
    • Jäger, W.1    Mikelíc, A.2
  • 27
    • 67650587372 scopus 로고    scopus 로고
    • Modeling effective interface laws for transport phenomena between an unconfined fluid and a porous medium using homogenization
    • Jäger,W. &Mikelíc, A. (2009) Modeling effective interface laws for transport phenomena between an unconfined fluid and a porous medium using homogenization. Transp. Porous Media, 78, 489-508.
    • (2009) Transp. Porous Media , vol.78 , pp. 489-508
    • Jäger, W.1    Mikelíc, A.2
  • 28
    • 0035686552 scopus 로고    scopus 로고
    • Asymptotic analysis of the laminar viscous flow over a porous bed
    • Jäger, W., Mikelíc, A. & Neuss, N. (2001) Asymptotic analysis of the laminar viscous flow over a porous bed. SIAM J. Sci. Comput., 22, 2006-2028.
    • (2001) SIAM J. Sci. Comput , vol.22 , pp. 2006-2028
    • Jäger, W.1    Mikelíc, A.2    Neuss, N.3
  • 29
    • 79960281881 scopus 로고    scopus 로고
    • A new approach for phase transitions in miscible multi-phase flow in porous media
    • Lauser, A., Hager, C., Helmig, R. & Wohlmuth, B. (2011) A new approach for phase transitions in miscible multi-phase flow in porous media. Adv. Water Res., 34, 957-966.
    • (2011) Adv. Water Res , vol.34 , pp. 957-966
    • Lauser, A.1    Hager, C.2    Helmig, R.3    Wohlmuth, B.4
  • 30
    • 0347337976 scopus 로고    scopus 로고
    • Coupling fluid flow with porous media flow
    • Layton, W. J., Schieweck, F. & Yotov, I. (2002) Coupling fluid flow with porous media flow. SIAM J. Numer. Anal., 40, 2195-2218.
    • (2002) SIAM J. Numer. Anal , vol.40 , pp. 2195-2218
    • Layton, W.J.1    Schieweck, F.2    Yotov, I.3
  • 31
    • 43949135511 scopus 로고    scopus 로고
    • Characteristic lengths affecting evaporative drying of porous media
    • Paper ID 056309
    • Lehmann, P., Assouline, S. & Or, D. (2008) Characteristic lengths affecting evaporative drying of porous media. Phys. Rev. E, 77, Paper ID. 056309.
    • (2008) Phys. Rev. e , vol.77
    • Lehmann, P.1    Assouline, S.2    Or, D.3
  • 32
    • 0028173924 scopus 로고
    • Co-located equal-order control-volume finite element method for two-dimensional axisymmetric incompressible fluid flow
    • Masson, C., Saabas, H. J. & Baliga, B. R. (1994) Co-located equal-order control-volume finite element method for two-dimensional axisymmetric incompressible fluid flow. Int. J. Numer. Meth. Fluids, 18, 1-26.
    • (1994) Int. J. Numer. Meth. Fluids , vol.18 , pp. 1-26
    • Masson, C.1    Saabas, H.J.2    Baliga, B.R.3
  • 33
    • 37049046538 scopus 로고
    • Permeability of porous solids
    • Millington, R. & Quirk, J. (1960) Permeability of porous solids. Trans. Faraday Soc., 57, 1200-1207.
    • (1960) Trans. Faraday Soc , vol.57 , pp. 1200-1207
    • Millington, R.1    Quirk, J.2
  • 34
    • 80055026982 scopus 로고    scopus 로고
    • A coupling concept for two-phase compositional porous-medium and single-phase compositional free flow
    • Mosthaf, K., Baber, K., Flemisch, B., Helmig, R., Leijnse, A., Rybak, I. & Wohlmuth, B. (2011) A coupling concept for two-phase compositional porous-medium and single-phase compositional free flow. Water Resour. Res., 47, W10522.
    • (2011) Water Resour. Res , vol.47
    • Mosthaf, K.1    Baber, K.2    Flemisch, B.3    Helmig, R.4    Leijnse, A.5    Rybak, I.6    Wohlmuth, B.7
  • 35
    • 84879805237 scopus 로고    scopus 로고
    • Dune-multidomaingrid: A metagrid approach to subdomain modeling
    • Heidelberg: Springer
    • Müthing, S. & Bastian, P. (2011) Dune-multidomaingrid: a metagrid approach to subdomain modeling. Advances in Dune. Heidelberg: Springer.
    • (2011) Advances in Dune
    • Müthing, S.1    Bastian, P.2
  • 36
    • 0029360858 scopus 로고
    • Momentum transfer at the boundary between a porous medium and a homogeneous fluid-I. Theoretical development
    • Ochoa-Tapia, J. A. & Whitaker, S. (1995) Momentum transfer at the boundary between a porous medium and a homogeneous fluid-I. Theoretical development. Int. J. Heat Mass Transfer, 38, 2635-2646.
    • (1995) Int. J. Heat Mass Transfer , vol.38 , pp. 2635-2646
    • Ochoa-Tapia, J.A.1    Whitaker, S.2
  • 38
    • 17444430004 scopus 로고    scopus 로고
    • Analysis of a discontinuous finite element method for the coupled Stokes and Darcy problems
    • Rivière, B. (2005) Analysis of a discontinuous finite element method for the coupled Stokes and Darcy problems. J. Sci. Comput., 22, 479-500.
    • (2005) J. Sci. Comput , vol.22 , pp. 479-500
    • Rivière, B.1
  • 39
    • 77953614420 scopus 로고    scopus 로고
    • A strongly conservative finite element method for the coupling of Stokes and Darcy flow
    • Rivière, B. & Kanschat, G. (2010) A strongly conservative finite element method for the coupling of Stokes and Darcy flow. J. Comput. Phys., 229, 5933-5943.
    • (2010) J. Comput. Phys , vol.229 , pp. 5933-5943
    • Rivière, B.1    Kanschat, G.2
  • 40
    • 27744551448 scopus 로고    scopus 로고
    • Locally conservative coupling of Stokes and Darcy flow
    • Rivière, B. & Yotov, I. (2005) Locally conservative coupling of Stokes and Darcy flow. SIAM J. Numer. Anal., 42, 1959-1977.
    • (2005) SIAM J. Numer. Anal , vol.42 , pp. 1959-1977
    • Rivière, B.1    Yotov, I.2
  • 41
    • 36749095596 scopus 로고    scopus 로고
    • The laminar flow field at the interface of a Sierpinski carpet configuration
    • Rosenzweig, R. & Shavit, U. (2007) The laminar flow field at the interface of a Sierpinski carpet configuration. Water Resour. Res., 43, W10402.
    • (2007) Water Resour. Res , vol.43
    • Rosenzweig, R.1    Shavit, U.2
  • 42
    • 0015082428 scopus 로고
    • On the boundary condition at the surface of a porous medium
    • Saffman, R. (1971) On the boundary condition at the surface of a porous medium. Stud. Appl. Math., 50, 93-101.
    • (1971) Stud. Appl. Math , vol.50 , pp. 93-101
    • Saffman, R.1
  • 43
    • 67650608177 scopus 로고    scopus 로고
    • Special issue: Transport phenomena at the interface between fluid and porous domains
    • Shavit, U. (2009) Special issue: transport phenomena at the interface between fluid and porous domains. Transp. Porous Media, 78, 327-540.
    • (2009) Transp. Porous Media , vol.78 , pp. 327-540
    • Shavit, U.1
  • 44
    • 85085853211 scopus 로고
    • High temperature behavior of rocks associated with geothermal type reservoirs
    • presented at 48th Annual California Regional Meeting of the Society of Petroleum Engineers
    • Somerton, W., El-Shaarani, A. & Mobarak, S. (1974) High temperature behavior of rocks associated with geothermal type reservoirs. Society of Petroleum Engineers, pp. SPE-4897, presented at 48th Annual California Regional Meeting of the Society of Petroleum Engineers.
    • (1974) Society of Petroleum Engineers SPE-4897
    • Somerton, W.1    El-Shaarani, A.2    Mobarak, S.3
  • 45
    • 67650639042 scopus 로고    scopus 로고
    • Computation of jump coefficient for momentum transfer between a porous medium and a fluid using a closed generalized transfer equation
    • Valdés-Parada, F. J., Alvarez-Ramirez, J. A., Goyeau, B. & Ochoa-Tapia, J. A. (2009a) Computation of jump coefficient for momentum transfer between a porous medium and a fluid using a closed generalized transfer equation. Transp. Porous Media, 78, 439-457.
    • (2009) Transp. Porous Media , vol.78 , pp. 439-457
    • Valdés-Parada, F.J.1    Alvarez-Ramirez, J.A.2    Goyeau, B.3    Ochoa-Tapia, J.A.4
  • 46
    • 67650621608 scopus 로고    scopus 로고
    • Jump condition for diffusive and convective mass transfer between a porous medium and a fluid involving adsorption and chemical reaction
    • Valdés-Parada, F. J., Alvarez-Ramirez, J. A., Goyeau, B. & Ochoa-Tapia, J. A. (2009b) Jump condition for diffusive and convective mass transfer between a porous medium and a fluid involving adsorption and chemical reaction. Transp. Porous Media, 78, 459-476.
    • (2009) Transp. Porous Media , vol.78 , pp. 459-476
    • Valdés-Parada, F.J.1    Alvarez-Ramirez, J.A.2    Goyeau, B.3    Ochoa-Tapia, J.A.4
  • 47
    • 79960130250 scopus 로고    scopus 로고
    • Coupling Stokes-Darcy flow with transport
    • Vassilev, D. & Yotov, I. (2009) Coupling Stokes-Darcy flow with transport. SIAM J. Sci. Comput., 31, 3661-3684.
    • (2009) SIAM J. Sci. Comput , vol.31 , pp. 3661-3684
    • Vassilev, D.1    Yotov, I.2


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