메뉴 건너뛰기




Volumn 23, Issue 9, 1999, Pages 881-904

A pore-scale numerical model for flow through porous media

Author keywords

Darcy's law; Flow through porous media; Hydraulic conductivity; Numerical modelling; Smoothed particle hydrodynamics

Indexed keywords

BOUNDARY CONDITIONS; COMPUTATIONAL FLUID DYNAMICS; EQUATIONS OF STATE OF LIQUIDS; HYDRAULIC CONDUCTIVITY; HYDRODYNAMICS; MATHEMATICAL MODELS; POROUS MATERIALS; REYNOLDS NUMBER; VISCOSITY OF LIQUIDS;

EID: 0033543194     PISSN: 03639061     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1096-9853(19990810)23:9<881::AID-NAG996>3.0.CO;2-K     Document Type: Article
Times cited : (159)

References (53)
  • 1
    • 84886764942 scopus 로고
    • 'On the periodic fundamental solutions of the Stokes equations and their application to viscous flow past a cubic array of spheres'
    • H. Hasimoto, 'On the periodic fundamental solutions of the Stokes equations and their application to viscous flow past a cubic array of spheres', J. Fluid Mech., 5, 317-328 (1959).
    • (1959) J. Fluid Mech. , vol.5 , pp. 317-328
    • Hasimoto, H.1
  • 2
    • 84984086409 scopus 로고
    • 'Viscous flow relative to arrays of cylinders'
    • J. Happel, 'Viscous flow relative to arrays of cylinders', A.I.Ch.E. J., 5(2), 174-177 (1959).
    • (1959) A.I.Ch.E. J. , vol.5 , Issue.2 , pp. 174-177
    • Happel, J.1
  • 3
    • 84984088973 scopus 로고
    • 'Longitudinal laminar flow between cylinders arranged in regular array'
    • E. M. Sparrow and A. L. Loeffler, 'Longitudinal laminar flow between cylinders arranged in regular array', A.I.Ch.E. J. 5, 325-330 (1959).
    • (1959) A.I.Ch.E. J. , vol.5 , pp. 325-330
    • Sparrow, E.M.1    Loeffler, A.L.2
  • 4
    • 0020148179 scopus 로고
    • 'Slow flow past periodic arrays of cylinders with application to heat transfer'
    • A. S. Sangani and A. Acrivos, 'Slow flow past periodic arrays of cylinders with application to heat transfer', Int. J. Multiphase Flow, 8(3), 193-206 (1982a).
    • (1982) Int. J. Multiphase Flow , vol.8 , Issue.3 , pp. 193-206
    • Sangani, A.S.1    Acrivos, A.2
  • 5
    • 0020169176 scopus 로고
    • 'Slow flow through a periodic array of spheres'
    • A. S. Sangani and A. Acrivos, 'Slow flow through a periodic array of spheres', Int. J. Multiphase Flow, 8, 343-360 (1982b).
    • (1982) Int. J. Multiphase Flow , vol.8 , pp. 343-360
    • Sangani, A.S.1    Acrivos, A.2
  • 6
    • 0019999150 scopus 로고
    • 'Stokes flow through periodic arrays of spheres'
    • A. A. Zick and G. M. Homsy, 'Stokes flow through periodic arrays of spheres', J. Fluid Mech., 115, 13-26 (1982).
    • (1982) J. Fluid Mech. , vol.115 , pp. 13-26
    • Zick, A.A.1    Homsy, G.M.2
  • 7
    • 0021219457 scopus 로고
    • 'Laminar viscous flow through regular arrays of parallel solid cylinders'
    • J. E. Drummond and M. I. Tahir, 'Laminar viscous flow through regular arrays of parallel solid cylinders', Int. J. Multiphase Flow, 10, 515-540(1984).
    • (1984) Int. J. Multiphase Flow , vol.10 , pp. 515-540
    • Drummond, J.E.1    Tahir, M.I.2
  • 8
    • 0001292503 scopus 로고
    • Transport processes in random arrays of cylinders, II. viscous flow'
    • A. S. Sangani and C. Yao, Transport processes in random arrays of cylinders, II. viscous flow', Phys. Fluids, 31, 2435-2444 (1988).
    • (1988) Phys. Fluids , vol.31 , pp. 2435-2444
    • Sangani, A.S.1    Yao, C.2
  • 9
    • 0001081362 scopus 로고
    • 'Flow of generalized Newtonian fluids across a periodic array of cylinders'
    • M. V. Bruschke and S. G. Advani, 'Flow of generalized Newtonian fluids across a periodic array of cylinders', J. Rheol, 37, 479-498 (1993).
    • (1993) J. Rheol , vol.37 , pp. 479-498
    • Bruschke, M.V.1    Advani, S.G.2
  • 10
    • 35949005016 scopus 로고
    • 'Cross-property relations and permeability estimation in model porous media'
    • L. M. Schwartz, N. Martys, D. P. Bentz, E. J. Garboczi and S. Torquato, 'Cross-property relations and permeability estimation in model porous media', Phys. Rev. E, 48, 4584-4591 (1993).
    • (1993) Phys. Rev. E , vol.48 , pp. 4584-4591
    • Schwartz, L.M.1    Martys, N.2    Bentz, D.P.3    Garboczi, E.J.4    Torquato, S.5
  • 11
    • 84915605662 scopus 로고    scopus 로고
    • 'Velocity and pressure profiles for Newtonian creeping flow in regular packed beds of spheres'
    • L. J. Snyder and W. E. Stewart, 'Velocity and pressure profiles for Newtonian creeping flow in regular packed beds of spheres', A.I.Ch.E. J. 12, 167-173 (1996).
    • (1996) A.I.Ch.E. J. , vol.12 , pp. 167-173
    • Snyder, L.J.1    Stewart, W.E.2
  • 12
    • 0016037437 scopus 로고
    • 'Computation of forced convection in slow flow through ducts and packed beds - II velocity profile in a sample cubic array of spheres'
    • J. P. S0rensen and W. E. Stewart, 'Computation of forced convection in slow flow through ducts and packed beds - II velocity profile in a sample cubic array of spheres', Chem. Engng. Sci., 29, 819-825 (1974).
    • (1974) Chem. Engng. Sci. , vol.29 , pp. 819-825
    • Srensen, J.P.1    Stewart, W.E.2
  • 13
    • 22044456743 scopus 로고
    • The influence of Reynolds number upon the apparent permeability of spatially periodic arrays of cylinders'
    • D. A. Edwards, M. Shapiro, P. Bar-Yoseph and M. Shapira, The influence of Reynolds number upon the apparent permeability of spatially periodic arrays of cylinders', Phys. Fluids A, 2(1), 45-55 (1990).
    • (1990) Phys. Fluids a , vol.2 , Issue.1 , pp. 45-55
    • Edwards, D.A.1    Shapiro, M.2    Bar-Yoseph, P.3    Shapira, M.4
  • 14
    • 0029170364 scopus 로고
    • 'On the permeability of unidirectional fibrous media: A parallel computational approach'
    • C. K. Ghaddar, 'On the permeability of unidirectional fibrous media: a parallel computational approach', Phys. Fluids, 7, 2563-2586 (1995).
    • (1995) Phys. Fluids , vol.7 , pp. 2563-2586
    • Ghaddar, C.K.1
  • 16
    • 0022717944 scopus 로고
    • 'Microscopic flow near the surface of two-dimensional porous media. Part 1. Axial flow'
    • R. E. Larsbn and J. J. L. Higdon, 'Microscopic flow near the surface of two-dimensional porous media. Part 1. Axial flow', J. Fluid Mech., 166, 449-472 (1986).
    • (1986) J. Fluid Mech. , vol.166 , pp. 449-472
    • Larsbn, R.E.1    Higdon, J.J.L.2
  • 17
    • 0023344734 scopus 로고
    • 'Microscopic flow near the surface of two-dimensional porous media. Part 2. Transverse flow'
    • R. E. Larson and J. J. L. Higdon, 'Microscopic flow near the surface of two-dimensional porous media. Part 2. Transverse flow', J. Fluid Mech., 178, 119-136 (1987).
    • (1987) J. Fluid Mech. , vol.178 , pp. 119-136
    • Larson, R.E.1    Higdon, J.J.L.2
  • 18
    • 0023995365 scopus 로고
    • 'Cellular-automation fluids: A model for flow in porous media'
    • D. H. Rothman, 'Cellular-automation fluids: a model for flow in porous media', Geophysics, 53, 509-518 (1988).
    • (1988) Geophysics , vol.53 , pp. 509-518
    • Rothman, D.H.1
  • 19
    • 0041591786 scopus 로고
    • 'Simulation of flow through a two-dimensional random porous media'
    • U. Brosa and D. Stauffer, 'Simulation of flow through a two-dimensional random porous media', J. Statist. Phys., 63, 405-409 (1991).
    • (1991) J. Statist. Phys. , vol.63 , pp. 405-409
    • Brosa, U.1    Stauffer, D.2
  • 20
    • 0000945283 scopus 로고
    • 'Calculation of the permeability of porous media using hydrodynamic cellular automata'
    • G. A. Kohring, 'Calculation of the permeability of porous media using hydrodynamic cellular automata', J. Statist. Phys., 63, 411-418 (1991).
    • (1991) J. Statist. Phys. , vol.63 , pp. 411-418
    • Kohring, G.A.1
  • 21
    • 0001728053 scopus 로고
    • The permeability of a random medium: Comparison of simulation with theory'
    • A. Cancelliere, C. Chang, E. Foti, D. H. Rothman and S. Succi, The permeability of a random medium: comparison of simulation with theory', Phys. Fluids A, 2, 2085-2088 (1990).
    • (1990) Phys. Fluids a , vol.2 , pp. 2085-2088
    • Cancelliere, A.1    Chang, C.2    Foti, E.3    Rothman, D.H.4    Succi, S.5
  • 22
    • 0001045918 scopus 로고
    • The lattice Boltzmann equation: A new tool for computational fluid-dynamics'
    • S. Succi, R. Benzi and F. Higuera, The lattice Boltzmann equation: a new tool for computational fluid-dynamics', Physica D, 47, 219-230 (1991).
    • (1991) Physica D , vol.47 , pp. 219-230
    • Succi, S.1    Benzi, R.2    Higuera, F.3
  • 23
    • 33745087256 scopus 로고
    • 'Conductivity and permeability from microgeometry'
    • J. Koplik, C. Lin and M. Vermette, 'Conductivity and permeability from microgeometry', J. Appl. Phys., 56, 3127-3131 (1984).
    • (1984) J. Appl. Phys. , vol.56 , pp. 3127-3131
    • Koplik, J.1    Lin, C.2    Vermette, M.3
  • 24
    • 0027577807 scopus 로고
    • 'Network model evaluation of permeability and spatial correlation in a real random sphere packing'
    • S. L. Bryant, P. R. King and D. W. Mellor, 'Network model evaluation of permeability and spatial correlation in a real random sphere packing', Transport Porous Media, 11, 53-70 (1993).
    • (1993) Transport Porous Media , vol.11 , pp. 53-70
    • Bryant, S.L.1    King, P.R.2    Mellor, D.W.3
  • 25
    • 0030108859 scopus 로고    scopus 로고
    • 'Computation of permeability and dispersivities of solute or heat in periodic porous media'
    • C. K. Lee, C. Sun and C. C. Mei, 'Computation of permeability and dispersivities of solute or heat in periodic porous media', Int. J. Heat Mass Transfer, 39, 661-676 (1996).
    • (1996) Int. J. Heat Mass Transfer , vol.39 , pp. 661-676
    • Lee, C.K.1    Sun, C.2    Mei, C.C.3
  • 26
    • 0000797576 scopus 로고
    • 'Universal scaling of fluid permeability for sphere packings'
    • N. S. Martys, S. Torquato and D. P. Bentz, 'Universal scaling of fluid permeability for sphere packings', Phys. Rev. E, 50, 403-408 (1994).
    • (1994) Phys. Rev. E , vol.50 , pp. 403-408
    • Martys, N.S.1    Torquato, S.2    Bentz, D.P.3
  • 29
    • 0028255589 scopus 로고
    • 'Fractal dimension to describe soil macropore structure using X ray computed tomography'
    • R. L. Peyton, C. J. Gantzer, S. H. Anderson, B. A. Haeffner and P. Pfeifer, 'Fractal dimension to describe soil macropore structure using X ray computed tomography', Water Resou. Res., 30, 691-700 (1994).
    • (1994) Water Resou. Res. , vol.30 , pp. 691-700
    • Peyton, R.L.1    Gantzer, C.J.2    Anderson, S.H.3    Haeffner, B.A.4    Pfeifer, P.5
  • 30
    • 0001765873 scopus 로고
    • 'A numerical approach to the testing of the fission hypothesis'
    • L. B. Lucy, 'A numerical approach to the testing of the fission hypothesis', The Astron. J., 82, 1013-1024 (1977).
    • (1977) The Astron. J. , vol.82 , pp. 1013-1024
    • Lucy, L.B.1
  • 31
    • 85183430449 scopus 로고
    • 'Smoothed particle hydrodynamics: Theory and application to non-spherical stars'
    • R. A. Gingold and J. J. Monaghan, 'Smoothed particle hydrodynamics: theory and application to non-spherical stars', Mon. Not. Roy. Astr. Soc., 181, 375-389 (1977).
    • (1977) Mon. Not. Roy. Astr. Soc. , vol.181 , pp. 375-389
    • Gingold, R.A.1    Monaghan, J.J.2
  • 32
    • 0031237355 scopus 로고    scopus 로고
    • 'Modelling low Reynolds number incompressible flows using SPH'
    • J. P. Morris, P. J. Fox and Y. Zhu, 'Modelling low Reynolds number incompressible flows using SPH', J. Comput. Phys., 136, 214-226 (1997).
    • (1997) J. Comput. Phys. , vol.136 , pp. 214-226
    • Morris, J.P.1    Fox, P.J.2    Zhu, Y.3
  • 34
    • 28144440714 scopus 로고
    • 'Simulating free surface flows with SPH'
    • J. J. Monaghan, 'Simulating free surface flows with SPH', J. Comput. Phys., 110, 399-406 (1994).
    • (1994) J. Comput. Phys. , vol.110 , pp. 399-406
    • Monaghan, J.J.1
  • 37
  • 38
    • 0003908527 scopus 로고
    • Über die partiellen differenzengleichungen der mathematischen physik'
    • R. Courant, K. Friedrichs and H. Lewy, Über die partiellen differenzengleichungen der mathematischen physik', Math. Ann. 110, 32-74 (1928).
    • (1928) Math. Ann. , vol.110 , pp. 32-74
    • Courant, R.1    Friedrichs, K.2    Lewy, H.3
  • 39
    • 40449093496 scopus 로고
    • 'A numerical method for solving incompressible viscous flow problems'
    • A. J. Chorin, 'A numerical method for solving incompressible viscous flow problems', J. Comput. Phys., 2, 12-26 (1967).
    • (1967) J. Comput. Phys. , vol.2 , pp. 12-26
    • Chorin, A.J.1
  • 40
    • 45949116154 scopus 로고
    • 'Preconditioned methods for solving the incompressible and low speed compressible equations'
    • E. Türkei, 'Preconditioned methods for solving the incompressible and low speed compressible equations', J. Comput. Phys., 72, 277-298 (1987).
    • (1987) J. Comput. Phys. , vol.72 , pp. 277-298
    • Türkei, E.1
  • 41
    • 16144366216 scopus 로고    scopus 로고
    • 'Comparison of pressure based and artificial compressibility methods for solving 3D steady incompressible viscous flows'
    • P. Tamamidis, G. Zhang and D. N. Assanis, 'Comparison of pressure based and artificial compressibility methods for solving 3D steady incompressible viscous flows', J. Comput. Phys., 124, 1-13 (1996).
    • (1996) J. Comput. Phys. , vol.124 , pp. 1-13
    • Tamamidis, P.1    Zhang, G.2    Assanis, D.N.3
  • 42
    • 12044252879 scopus 로고
    • 'Smoothed particle hydrodynamics: Physical viscosity and the simulation of accretion disks'
    • O. Flebbe, S. Münzel, H. Herold, H. Riffert and H. Ruder, 'Smoothed particle hydrodynamics: physical viscosity and the simulation of accretion disks', The Astrophys. J., 431, 754-760 (1994).
    • (1994) The Astrophys. J. , vol.431 , pp. 754-760
    • Flebbe, O.1    Münzel, S.2    Herold, H.3    Riffert, H.4    Ruder, H.5
  • 44
    • 0001364855 scopus 로고
    • 'Numerical simulation of viscous flow by smoothed particle hydrodynamics'
    • H. Takeda, S. M. Miyama and M. Sekiya, 'Numerical simulation of viscous flow by smoothed particle hydrodynamics', Progr. Theoret. Phys. 92, 939-960 (1994).
    • (1994) Progr. Theoret. Phys. , vol.92 , pp. 939-960
    • Takeda, H.1    Miyama, S.M.2    Sekiya, M.3
  • 46
    • 0011007778 scopus 로고    scopus 로고
    • 'Simulating gravity currents with SPH: HI boundary forces'
    • Monash University, Australia, 1995, unpublished.
    • J. J. Monaghan, 'Simulating gravity currents with SPH: HI boundary forces', Applied Mathematics Reports and Preprints, 95/11, Monash University, Australia, 1995, unpublished.
    • Applied Mathematics Reports and Preprints, 95/11
    • Monaghan, J.J.1
  • 48
    • 0000293878 scopus 로고
    • 'Smoothed particle hydrodynamics with strength of materials'
    • H. E. Trease, M. J. Fritts and W. P. Crowley (eds), Springer, New York
    • L. D. Libersky and A. G. Petschek, 'Smoothed particle hydrodynamics with strength of materials', in H. E. Trease, M. J. Fritts and W. P. Crowley (eds), Advances in the Free-Lagrange Method, Springer, New York, 1991, pp. 248-257.
    • (1991) Advances in the Free-Lagrange Method , pp. 248-257
    • Libersky, L.D.1    Petschek, A.G.2
  • 49
    • 0030405630 scopus 로고    scopus 로고
    • 'Smoothed particle hydrodynamics: Some recent improvements and applications'
    • P. W. Randies and L. D. Libersky, 'Smoothed particle hydrodynamics: some recent improvements and applications', Comput. Meth. Appl. Mech. Engng., 139, 375-408 (1996).
    • (1996) Comput. Meth. Appl. Mech. Engng. , vol.139 , pp. 375-408
    • Randies, P.W.1    Libersky, L.D.2
  • 50
    • 0002308457 scopus 로고
    • 'Contributions to the problem of approximation of equidistant data by analytic functions'
    • I. J. Schoenberg, 'Contributions to the problem of approximation of equidistant data by analytic functions', Quart. Appl. Math., 4, No. 1, 45-99 (1946).
    • (1946) Quart. Appl. Math. , vol.4 , Issue.1 , pp. 45-99
    • Schoenberg, I.J.1
  • 51
    • 0030529349 scopus 로고    scopus 로고
    • 'Stability properties of SPH'
    • J. P. Morris, 'Stability properties of SPH', Publ. Astron. Soc. Aust., 13, 97-102 (1996).
    • (1996) Publ. Astron. Soc. Aust. , vol.13 , pp. 97-102
    • Morris, J.P.1
  • 53
    • 0001470774 scopus 로고
    • 'A refined particle method for astrophysical problems'
    • J. J. Monaghan and J. C. Lattanzio, 'A refined particle method for astrophysical problems', Astron. Astrophys., 149, 135-143 (1985).
    • (1985) Astron. Astrophys. , vol.149 , pp. 135-143
    • Monaghan, J.J.1    Lattanzio, J.C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.