메뉴 건너뛰기




Volumn 18, Issue 1, 2010, Pages 5-23

Three-dimensional benchmark for variable-density flow and transport simulation: Matching semi-analytic stability modes for steady unstable convection in an inclined porous box;Banc d'essai tri-dimensionnel pour la simulation d'écoulement d'un flux de densité variable: Comparaison des modes de convexion uniforme instable dans une boîte poreuse inclinée

Author keywords

Analytical solutions; Benchmark; Groundwater density viscosity; Numerical modeling; Variable density groundwater

Indexed keywords

DENSITY; GROUNDWATER FLOW; NUMERICAL MODEL; POROUS MEDIUM; SOLUTE TRANSPORT; THERMAL CONVECTION; VISCOSITY;

EID: 77952803707     PISSN: 14312174     EISSN: 14350157     Source Type: Journal    
DOI: 10.1007/s10040-009-0556-6     Document Type: Article
Times cited : (38)

References (34)
  • 1
    • 33750018626 scopus 로고    scopus 로고
    • A note on benchmarking of numerical models for density dependent flow in porous media
    • Ataie-Ashtiani B, Aghayi MM (2006) A note on benchmarking of numerical models for density dependent flow in porous media. Adv Water Resour 29(12): 1918-1923.
    • (2006) Adv Water Resour , vol.29 , Issue.12 , pp. 1918-1923
    • Ataie-Ashtiani, B.1    Aghayi, M.M.2
  • 2
    • 0015558602 scopus 로고
    • Natural convection in a sloping porous layer
    • Bories SA, Combarnous MA (1973) Natural convection in a sloping porous layer. J Fluid Mech 57: 63-79.
    • (1973) J Fluid Mech , vol.57 , pp. 63-79
    • Bories, S.A.1    Combarnous, M.A.2
  • 3
    • 0345244728 scopus 로고
    • Convection in a porous medium
    • J. Zierup and H. Oertel (Eds.), Karlsruhe, Germany: Braun
    • Caltagirone JP (1982) Convection in a porous medium. In: Zierup J, Oertel H (eds) Convective transport and instability phenomena. Braun, Karlsruhe, Germany, pp 199-232.
    • (1982) Convective Transport and Instability Phenomena , pp. 199-232
    • Caltagirone, J.P.1
  • 4
    • 0022075396 scopus 로고
    • Solutions and stability criteria of natural convective flow in an inclined porous layer
    • Caltagirone JP, Bories S (1985) Solutions and stability criteria of natural convective flow in an inclined porous layer. J Fluid Mech 155: 267-287.
    • (1985) J Fluid Mech , vol.155 , pp. 267-287
    • Caltagirone, J.P.1    Bories, S.2
  • 6
    • 0036704552 scopus 로고    scopus 로고
    • Variable-density flow and transport in porous media: Approaches and challenges
    • Diersch H, Kolditz O (2002) Variable-density flow and transport in porous media: approaches and challenges. Adv Water Resour 25: 8-12.
    • (2002) Adv Water Resour , vol.25 , pp. 8-12
    • Diersch, H.1    Kolditz, O.2
  • 7
    • 84958442566 scopus 로고
    • Transient convection in a porous medium
    • Elder JW (1967) Transient convection in a porous medium. J Fluid Mech 27: 609-623.
    • (1967) J Fluid Mech , vol.27 , pp. 609-623
    • Elder, J.W.1
  • 8
    • 84945642828 scopus 로고
    • Finding zeros of arbitrary functions
    • Frank WL (1958) Finding zeros of arbitrary functions. J Assoc Comput Mach 5: 154-160.
    • (1958) J Assoc Comput Mach , vol.5 , pp. 154-160
    • Frank, W.L.1
  • 9
    • 0002626033 scopus 로고
    • Effects of dispersion on salt encroachment in coastal aquifers
    • Henry HR (1964) Effects of dispersion on salt encroachment in coastal aquifers. US Geol Surv Water Suppl Pap 1613-C: C71-C84.
    • (1964) US Geol Surv Water Suppl Pap , vol.1613 C
    • Henry, H.R.1
  • 11
    • 0742308437 scopus 로고
    • Convection currents in a porous medium
    • Horton CW, Rogers FT Jr (1945) Convection currents in a porous medium. J Appl Phys 16: 367-370.
    • (1945) J Appl Phys , vol.16 , pp. 367-370
    • Horton, C.W.1    Rogers Jr., F.T.2
  • 13
    • 0036504138 scopus 로고    scopus 로고
    • Numerical simulation of density driven flow in porous media
    • Johannsen K, Kinzelbach W, Oswald SE, Wittum G (2002) Numerical simulation of density driven flow in porous media. Adv Water Resour 25(3): 335-348.
    • (2002) Adv Water Resour , vol.25 , Issue.3 , pp. 335-348
    • Johannsen, K.1    Kinzelbach, W.2    Oswald, S.E.3    Wittum, G.4
  • 14
    • 33748554494 scopus 로고    scopus 로고
    • Numerical simulation of three-dimensional saltwater-freshwater fingering instabilities observed in a porous medium
    • Johannsen K, Oswald S, Held R, Kinzelbach W (2006) Numerical simulation of three-dimensional saltwater-freshwater fingering instabilities observed in a porous medium. Adv Water Resour 29(11): 1690-1704.
    • (2006) Adv Water Resour , vol.29 , Issue.11 , pp. 1690-1704
    • Johannsen, K.1    Oswald, S.2    Held, R.3    Kinzelbach, W.4
  • 15
    • 0034502677 scopus 로고    scopus 로고
    • Modes of seawater intrusion during transgressions
    • Kooi HJ, Groen J, Leijnse A (2000) Modes of seawater intrusion during transgressions. Water Resour Res 36(12): 3581-3589.
    • (2000) Water Resour Res , vol.36 , Issue.12 , pp. 3581-3589
    • Kooi, H.J.1    Groen, J.2    Leijnse, A.3
  • 17
    • 84958735462 scopus 로고
    • Convection of a fluid in a porous medium
    • Lapwood ER (1948) Convection of a fluid in a porous medium. Proc Cambridge Phil Soc 44: 508-521.
    • (1948) Proc Cambridge Phil Soc , vol.44 , pp. 508-521
    • Lapwood, E.R.1
  • 18
    • 0035306519 scopus 로고    scopus 로고
    • On the reliability of numerical solutions of brine transport in groundwater: Analysis of infiltration from a salt lake
    • Mazzia A, Bergamaschi L, Putti M (2001) On the reliability of numerical solutions of brine transport in groundwater: analysis of infiltration from a salt lake. Transp Porous Med 43(1): 65-86.
    • (2001) Transp Porous Med , vol.43 , Issue.1 , pp. 65-86
    • Mazzia, A.1    Bergamaschi, L.2    Putti, M.3
  • 19
    • 84968487034 scopus 로고
    • A method for solving algebraic equations using an automatic computer
    • Muller DE (1956) A method for solving algebraic equations using an automatic computer. Math Tables Aids Comput 10: 208-215.
    • (1956) Math Tables Aids Comput , vol.10 , pp. 208-215
    • Muller, D.E.1
  • 22
    • 0027505390 scopus 로고
    • 3-D thermoconvection in an anisotropic inclined layer
    • Ormond A, Genthon P (1993) 3-D thermoconvection in an anisotropic inclined layer. Geophys J Int 1-2: 257-263.
    • (1993) Geophys J Int , vol.1-2 , pp. 257-263
    • Ormond, A.1    Genthon, P.2
  • 23
    • 1842486151 scopus 로고    scopus 로고
    • Three-dimensional physical benchmark experiments to test variable-density flow models
    • Oswald S, Kinzelbach W (2004) Three-dimensional physical benchmark experiments to test variable-density flow models. J Hydrol 290(1-2): 22-42.
    • (2004) J Hydrol , vol.290 , Issue.1-2 , pp. 22-42
    • Oswald, S.1    Kinzelbach, W.2
  • 24
    • 34247400776 scopus 로고    scopus 로고
    • Three-dimensional saltwater-freshwater fingering in porous media: Contrast agent MRI as basis for numerical simulations
    • Oswald S, Spiegel M, Kinzelbach W (2007) Three-dimensional saltwater-freshwater fingering in porous media: contrast agent MRI as basis for numerical simulations. Magn Reson Imaging 25(4): 537-540.
    • (2007) Magn Reson Imaging , vol.25 , Issue.4 , pp. 537-540
    • Oswald, S.1    Spiegel, M.2    Kinzelbach, W.3
  • 25
    • 29444461139 scopus 로고    scopus 로고
    • Using quantitative indicators to evaluate results from variable-density groundwater flow models
    • doi:10.1007/s10040-004-0338-0
    • Prasad A, Simmons CT (2005) Using quantitative indicators to evaluate results from variable-density groundwater flow models. Hydrogeol J 13(5-6): 905-914. doi: 10. 1007/s10040-004-0338-0.
    • (2005) Hydrogeol J , vol.13 , Issue.5-6 , pp. 905-914
    • Prasad, A.1    Simmons, C.T.2
  • 27
    • 0033461819 scopus 로고    scopus 로고
    • On a test case for density-dependent groundwater flow and solute transport models: The salt lake problem
    • Simmons CT, Narayan KA, Wooding RA (1999) On a test case for density-dependent groundwater flow and solute transport models: the salt lake problem. Water Resour Res 35(12): 3607-3620.
    • (1999) Water Resour Res , vol.35 , Issue.12 , pp. 3607-3620
    • Simmons, C.T.1    Narayan, K.A.2    Wooding, R.A.3
  • 28
    • 2542544381 scopus 로고    scopus 로고
    • Improving the worthiness of the Henry problem as a benchmark for density-dependent groundwater flow models
    • doi: 10. 1029/2003WR002199
    • Simpson MJ, Clement TP (2004) Improving the worthiness of the Henry problem as a benchmark for density-dependent groundwater flow models. Water Resour Res 40(1). doi: 10. 1029/2003WR002199.
    • (2004) Water Resour Res , vol.40 , Issue.1
    • Simpson, M.J.1    Clement, T.P.2
  • 29
    • 0023518042 scopus 로고
    • Variable density flow and solute transport simulation of regional aquifers containing a narrow freshwater-saltwater transition zone
    • Voss CI, Souza WR (1987) Variable density flow and solute transport simulation of regional aquifers containing a narrow freshwater-saltwater transition zone. Water Res Res 23(10): 1851-1866.
    • (1987) Water Res Res , vol.23 , Issue.10 , pp. 1851-1866
    • Voss, C.I.1    Souza, W.R.2
  • 31
    • 2342613642 scopus 로고    scopus 로고
    • Testing density-dependent groundwater models: Two-dimensional steady state unstable convection in infinite, finite and inclined porous layers
    • Weatherill D, Simmons CT, Voss CI, Robinson NI (2004) Testing density-dependent groundwater models: two-dimensional steady state unstable convection in infinite, finite and inclined porous layers. Adv Water Resour 27(5): 547-562.
    • (2004) Adv Water Resour , vol.27 , Issue.5 , pp. 547-562
    • Weatherill, D.1    Simmons, C.T.2    Voss, C.I.3    Robinson, N.I.4
  • 33
    • 0030619048 scopus 로고    scopus 로고
    • Convection in groundwater below an evaporating salt lake: 1. onset of instability
    • Wooding RA, Tyler SW, White I (1997a) Convection in groundwater below an evaporating salt lake: 1. onset of instability. Water Resour Res 33(6): 1199-1217.
    • (1997) Water Resour Res , vol.33 , Issue.6 , pp. 1199-1217
    • Wooding, R.A.1    Tyler, S.W.2    White, I.3
  • 34
    • 0030619050 scopus 로고    scopus 로고
    • Convection in groundwater below an evaporating salt lake: 2. evolution of fingers or plumes
    • Wooding RA, Tyler SW, White I, Anderson PA (1997b) Convection in groundwater below an evaporating salt lake: 2. evolution of fingers or plumes. Water Resour Res 33(6): 1219-1228.
    • (1997) Water Resour Res , vol.33 , Issue.6 , pp. 1219-1228
    • Wooding, R.A.1    Tyler, S.W.2    White, I.3    Anderson, P.A.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.