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Volumn 228, Issue 4, 2009, Pages 1234-1274

The MAST FV/FE scheme for the simulation of two-dimensional thermohaline processes in variable-density saturated porous media

Author keywords

Density driven flows; Finite element method; Finite volume method; Porous media; Stream function; Thermohaline process

Indexed keywords

ADVECTION; FINITE ELEMENT METHOD; FINITE VOLUME METHOD; GROUNDWATER; ORDINARY DIFFERENTIAL EQUATIONS; POROUS MATERIALS;

EID: 58149154651     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2008.10.015     Document Type: Article
Times cited : (10)

References (54)
  • 1
    • 0032776407 scopus 로고    scopus 로고
    • Modeling variable-density flow and solute transport in porous medium: 1. Numerical model and verification
    • Ackerer P., Younes A., and Mosé R. Modeling variable-density flow and solute transport in porous medium: 1. Numerical model and verification. Trans. Porous Media 35 3 (1999) 345-373
    • (1999) Trans. Porous Media , vol.35 , Issue.3 , pp. 345-373
    • Ackerer, P.1    Younes, A.2    Mosé, R.3
  • 2
    • 33846370229 scopus 로고    scopus 로고
    • MAST solution of advection problems in irrotational flow fields
    • 10.1016/j.advwatres.2006.03.007
    • Aricò C., and Tucciarelli T. MAST solution of advection problems in irrotational flow fields. Adv. Water Resour. 30 (2007) 665-685 10.1016/j.advwatres.2006.03.007
    • (2007) Adv. Water Resour. , vol.30 , pp. 665-685
    • Aricò, C.1    Tucciarelli, T.2
  • 3
    • 33847250464 scopus 로고    scopus 로고
    • A marching in space and time (MAST) solver of the shallow water equations. Part I: The 1D case
    • 10.1016/j.advwatres.2006.11.003
    • Aricò C., and Tucciarelli T. A marching in space and time (MAST) solver of the shallow water equations. Part I: The 1D case. Adv. Water Resour. 30 (2007) 1236-1252 10.1016/j.advwatres.2006.11.003
    • (2007) Adv. Water Resour. , vol.30 , pp. 1236-1252
    • Aricò, C.1    Tucciarelli, T.2
  • 4
    • 33847301025 scopus 로고    scopus 로고
    • A marching in space and time (MAST) solver of the shallow water equations. Part II: The 2D case
    • 10.1016/j.advwatres.2006.11.004
    • Aricò C., Nasello C., and Tucciarelli T. A marching in space and time (MAST) solver of the shallow water equations. Part II: The 2D case. Adv. Water Resour. 30 (2007) 1253-1271 10.1016/j.advwatres.2006.11.004
    • (2007) Adv. Water Resour. , vol.30 , pp. 1253-1271
    • Aricò, C.1    Nasello, C.2    Tucciarelli, T.3
  • 5
    • 3242660891 scopus 로고    scopus 로고
    • An explicit unconditionally stable numerical solution of the advection problem in irrotational flow fields
    • 10.1029/2003WR002646
    • Bascià A., and Tucciarelli T. An explicit unconditionally stable numerical solution of the advection problem in irrotational flow fields. Water Resour. Res. 40 6 (2004) W06501 10.1029/2003WR002646
    • (2004) Water Resour. Res. , vol.40 , Issue.6
    • Bascià, A.1    Tucciarelli, T.2
  • 7
    • 0010593428 scopus 로고
    • Eulerian-Lagrangian methods for hyperbolic and convection dominated parabolic problems
    • Pineridge, Swansea
    • Casulli V. Eulerian-Lagrangian methods for hyperbolic and convection dominated parabolic problems. Computational Methods for Non-linear Problems (1987), Pineridge, Swansea 239-269
    • (1987) Computational Methods for Non-linear Problems , pp. 239-269
    • Casulli, V.1
  • 8
    • 0025573799 scopus 로고
    • Godunov-mixed methods for immiscible displacement
    • Dawson C.N. Godunov-mixed methods for immiscible displacement. Int. J. Numer. Meth. Fluid 11 7 (1990) 835-847
    • (1990) Int. J. Numer. Meth. Fluid , vol.11 , Issue.7 , pp. 835-847
    • Dawson, C.N.1
  • 9
    • 0026239420 scopus 로고
    • Godunov-mixed methods for advective flow problems in one space dimension
    • Dawson C.N. Godunov-mixed methods for advective flow problems in one space dimension. SIAM J. Numer. Anal. 28 5 (1991) 1282-1309
    • (1991) SIAM J. Numer. Anal. , vol.28 , Issue.5 , pp. 1282-1309
    • Dawson, C.N.1
  • 10
    • 0027685082 scopus 로고
    • Godunov-mixed methods for advection-diffusion equations problems in one space dimension
    • Dawson C.N. Godunov-mixed methods for advection-diffusion equations problems in one space dimension. SIAM J. Numer. Anal. 30 5 (1993) 1315-1332
    • (1993) SIAM J. Numer. Anal. , vol.30 , Issue.5 , pp. 1315-1332
    • Dawson, C.N.1
  • 11
    • 84985315780 scopus 로고
    • High resolution upwind-mixed finite-elements methods for advection-diffusion equations with variable time-stepping
    • Dawson C.N. High resolution upwind-mixed finite-elements methods for advection-diffusion equations with variable time-stepping. Numer. Meth. PDE 11 (1995) 525-538
    • (1995) Numer. Meth. PDE , vol.11 , pp. 525-538
    • Dawson, C.N.1
  • 12
    • 58149155765 scopus 로고
    • Generating functions in the theory of flow through porous media
    • De Wiest R.J.M. (Ed), Academic press, San Diego, California
    • De Josseling de Jong G. Generating functions in the theory of flow through porous media. In: De Wiest R.J.M. (Ed). Flow Through Porous Media (1969), Academic press, San Diego, California
    • (1969) Flow Through Porous Media
    • De Josseling de Jong, G.1
  • 13
    • 0019588620 scopus 로고
    • Primitive variables finite-element solutions of free convection flows in porous media
    • Diersch H.-J.G. Primitive variables finite-element solutions of free convection flows in porous media. Zschr. Angew. Math. Mech. (ZAMM) 61 (1981) 325-337
    • (1981) Zschr. Angew. Math. Mech. (ZAMM) , vol.61 , pp. 325-337
    • Diersch, H.-J.G.1
  • 14
    • 0023976948 scopus 로고
    • Finite-element modeling of recirculating density-driven saltwater intrusion process in groundwater
    • Diersch H.-J.G. Finite-element modeling of recirculating density-driven saltwater intrusion process in groundwater. Adv. Water Resour. 11 (1988) 25-43
    • (1988) Adv. Water Resour. , vol.11 , pp. 25-43
    • Diersch, H.-J.G.1
  • 15
    • 85189840094 scopus 로고    scopus 로고
    • H.-J.G. Diersch, Interactive, graphic-based finite-element simulation systems - FEFLOW - for modelling groundwater flow and contaminant transport process, edited by WASY, Berlin, 1994.
    • H.-J.G. Diersch, Interactive, graphic-based finite-element simulation systems - FEFLOW - for modelling groundwater flow and contaminant transport process, edited by WASY, Berlin, 1994.
  • 16
    • 0032053255 scopus 로고    scopus 로고
    • Coupled groundwater flow and transport: 2. Thermohaline and 3D convection systems
    • Diersch H.-J.G., and Kolditz O. Coupled groundwater flow and transport: 2. Thermohaline and 3D convection systems. Adv. Water Resour. 21 (1998) 401-425
    • (1998) Adv. Water Resour. , vol.21 , pp. 401-425
    • Diersch, H.-J.G.1    Kolditz, O.2
  • 17
    • 85189840460 scopus 로고    scopus 로고
    • H.-J.G. Diersch, FEFLOW finite-element subsurface flow and transport simulation system - user's manual/reference manual/white papers. Release 5.0, edited by WASY Ltd., Berlin, 2002.
    • H.-J.G. Diersch, FEFLOW finite-element subsurface flow and transport simulation system - user's manual/reference manual/white papers. Release 5.0, edited by WASY Ltd., Berlin, 2002.
  • 18
    • 85189839425 scopus 로고    scopus 로고
    • H.-J.G. Diersch, FEFLOW finite-element subsurface flow and transport simulation system, white papers II, edited by WASY Ltd., Berlin, 2002.
    • H.-J.G. Diersch, FEFLOW finite-element subsurface flow and transport simulation system, white papers II, edited by WASY Ltd., Berlin, 2002.
  • 19
    • 0036704552 scopus 로고    scopus 로고
    • Variable-density flow and transport in porous media: approaches and challenges
    • Diersch H.-J.G., and Kolditz O. Variable-density flow and transport in porous media: approaches and challenges. Adv. Water Resour. 25 (2002) 899-944
    • (2002) Adv. Water Resour. , vol.25 , pp. 899-944
    • Diersch, H.-J.G.1    Kolditz, O.2
  • 20
    • 84962604454 scopus 로고
    • Steady free convection in a porous medium heated from below
    • Elder J.W. Steady free convection in a porous medium heated from below. J. Fluid Mech. 27 (1967) 29-48
    • (1967) J. Fluid Mech. , vol.27 , pp. 29-48
    • Elder, J.W.1
  • 21
    • 84958442566 scopus 로고
    • Transient convection in a porous medium
    • Elder J.W. Transient convection in a porous medium. J. Fluid Mech. 27 (1967) 609-623
    • (1967) J. Fluid Mech. , vol.27 , pp. 609-623
    • Elder, J.W.1
  • 22
    • 0027060716 scopus 로고
    • On the stream function for density-variable groundwater flow
    • Evans D.G., and Raffensperger J.P. On the stream function for density-variable groundwater flow. Water Resour. Res. 28 8 (1992) 2141-2145
    • (1992) Water Resour. Res. , vol.28 , Issue.8 , pp. 2141-2145
    • Evans, D.G.1    Raffensperger, J.P.2
  • 23
    • 0019905681 scopus 로고
    • Simulation of long-term transient density-dependent transport in groundwater
    • Frind E.O. Simulation of long-term transient density-dependent transport in groundwater. Adv. Water Resour. 5 (1982) 73-88
    • (1982) Adv. Water Resour. , vol.5 , pp. 73-88
    • Frind, E.O.1
  • 24
    • 0034306559 scopus 로고    scopus 로고
    • Numerical modelling of convection dominated transport with density-driven flow in porous media
    • Frolkovic P., and De Schepper H. Numerical modelling of convection dominated transport with density-driven flow in porous media. Adv. Water Resour. 24 1 (2001) 63-72
    • (2001) Adv. Water Resour. , vol.24 , Issue.1 , pp. 63-72
    • Frolkovic, P.1    De Schepper, H.2
  • 25
    • 0024530471 scopus 로고
    • On boundary conditions and point sources in the finite-element integration of the transport equation
    • Galeati G., and Gambolati G. On boundary conditions and point sources in the finite-element integration of the transport equation. Water Resour. Res. 25 5 (1989) 847-856
    • (1989) Water Resour. Res. , vol.25 , Issue.5 , pp. 847-856
    • Galeati, G.1    Gambolati, G.2
  • 26
    • 0026438859 scopus 로고
    • Coupled and partially coupled Eulerian-Lagrangian model of freshwater-seawater mixing
    • Galeati G., Gambolati G., and Neumann S. Coupled and partially coupled Eulerian-Lagrangian model of freshwater-seawater mixing. Water Resour. Res. 28 1 (1992) 149-165
    • (1992) Water Resour. Res. , vol.28 , Issue.1 , pp. 149-165
    • Galeati, G.1    Gambolati, G.2    Neumann, S.3
  • 28
    • 85189837431 scopus 로고    scopus 로고
    • W. Guo, C.D. Langevin, User's guide to SEAWAT: a computer program for the simulation of three-dimensional variable-density groundwater flow. USGS Techniques of Water Resources Investigations Book 6, USGS, 2002 (Chapter A7).
    • W. Guo, C.D. Langevin, User's guide to SEAWAT: a computer program for the simulation of three-dimensional variable-density groundwater flow. USGS Techniques of Water Resources Investigations Book 6, USGS, 2002 (Chapter A7).
  • 29
    • 85189842558 scopus 로고    scopus 로고
    • H.R. Henry, Effects of dispersion on salt enrichment in coastal aquifers, in: US Geological Survey Water Supply Paper 1613-C, Sea Water in Coastal Aquifers, 1964, pp. C70-C84.
    • H.R. Henry, Effects of dispersion on salt enrichment in coastal aquifers, in: US Geological Survey Water Supply Paper 1613-C, Sea Water in Coastal Aquifers, 1964, pp. C70-C84.
  • 30
    • 85189839329 scopus 로고    scopus 로고
    • H.R. Henry, J.B. Hilleke, Exploration of multiphase fluid flow in a saline aquifer system affected by geothermal heating, Bureau of Engineering Research, Report No. 150-118, University of Alabama, US Geological Survey Contract No. 14-08-0001-12681, National Technical Information Service Publication No. PB234233, 105, 1972.
    • H.R. Henry, J.B. Hilleke, Exploration of multiphase fluid flow in a saline aquifer system affected by geothermal heating, Bureau of Engineering Research, Report No. 150-118, University of Alabama, US Geological Survey Contract No. 14-08-0001-12681, National Technical Information Service Publication No. PB234233, 105, 1972.
  • 31
    • 0024221320 scopus 로고
    • Coupled groundwater flow and solute transport with fluid density strongly dependent on concentration
    • Herbert W., Jackson C.P., and Lever DA D.A. Coupled groundwater flow and solute transport with fluid density strongly dependent on concentration. Water Resour. Res. 24 (1988) 1781-1795
    • (1988) Water Resour. Res. , vol.24 , pp. 1781-1795
    • Herbert, W.1    Jackson, C.P.2    Lever DA, D.A.3
  • 32
    • 85189839724 scopus 로고    scopus 로고
    • J.D. Hughes, W.E. Sandford, SUTRA-MS, A version of SUTRA modified to simulate heat and multiple-solute transport, Reference Manual, US Department of the interior, US Geological Survey, 2004.
    • J.D. Hughes, W.E. Sandford, SUTRA-MS, A version of SUTRA modified to simulate heat and multiple-solute transport, Reference Manual, US Department of the interior, US Geological Survey, 2004.
  • 33
    • 85189841172 scopus 로고    scopus 로고
    • P.S. Huyakorn, C. Taylor, Finite-element models for coupled groundwater flow and convective dispersion, in: W.G. Gray, et al. (Ed.), Proceedings of the 1st International Conference Finite-elements in Water Resource, Princeton University, Pentech Press, London, vol. 1, 1976, pp. 131-151.
    • P.S. Huyakorn, C. Taylor, Finite-element models for coupled groundwater flow and convective dispersion, in: W.G. Gray, et al. (Ed.), Proceedings of the 1st International Conference Finite-elements in Water Resource, Princeton University, Pentech Press, London, vol. 1, 1976, pp. 131-151.
  • 34
    • 0032007495 scopus 로고    scopus 로고
    • Coupled groundwater flow and transport: 1. Verification of variable-density flow and transport models
    • Kolditz O., Ratke R., Diersch H.J.G., and Zielke W. Coupled groundwater flow and transport: 1. Verification of variable-density flow and transport models. Adv. Water Resour. 21 (1998) 27-46
    • (1998) Adv. Water Resour. , vol.21 , pp. 27-46
    • Kolditz, O.1    Ratke, R.2    Diersch, H.J.G.3    Zielke, W.4
  • 35
    • 85189839435 scopus 로고    scopus 로고
    • O. Kolditz, A. Habbar, R. Kaiser, T. Rother, C. Thorenz, ROCKFLOW - theory and user's manual. Release 3.6, Institute of Fluid Mechanics, University of Hannover, Germany, 2001.
    • O. Kolditz, A. Habbar, R. Kaiser, T. Rother, C. Thorenz, ROCKFLOW - theory and user's manual. Release 3.6, Institute of Fluid Mechanics, University of Hannover, Germany, 2001.
  • 36
    • 85189840367 scopus 로고    scopus 로고
    • K.P. Kröhn, Simulation von Transportvorgängen im klüftigen Gestein mit der Methode der Finiten-Elemente. Bericht Nr. 29/1991, Institut für Strömungsmechanik, Universität Hannover, Dissertation, 1991.
    • K.P. Kröhn, Simulation von Transportvorgängen im klüftigen Gestein mit der Methode der Finiten-Elemente. Bericht Nr. 29/1991, Institut für Strömungsmechanik, Universität Hannover, Dissertation, 1991.
  • 37
    • 0000276447 scopus 로고    scopus 로고
    • A time-splitting technique for the advection-dispersion equation in groundwater
    • Mazzia A., Bergamaschi L., and Putti M. A time-splitting technique for the advection-dispersion equation in groundwater. J. Comput. Phys. 157 1 (2000) 181-198
    • (2000) J. Comput. Phys. , vol.157 , Issue.1 , pp. 181-198
    • Mazzia, A.1    Bergamaschi, L.2    Putti, M.3
  • 38
    • 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., and Putti M. On the reliability of numerical solutions of brine transport in groundwater: analysis of infiltration from a salt-lake. Transp. Porous Media 43 (2001) 65-86
    • (2001) Transp. Porous Media , vol.43 , pp. 65-86
    • Mazzia, A.1    Bergamaschi, L.2    Putti, M.3
  • 39
    • 19044369573 scopus 로고    scopus 로고
    • Higher order Godunov-mixed methods on tetrahedral meshes for density driven flow simulations in porous media
    • 10.1016/j.jcp.2005.01.029
    • Mazzia A., and Putti M. Higher order Godunov-mixed methods on tetrahedral meshes for density driven flow simulations in porous media. J. Comput. Phys. 208 (2005) 154-174 10.1016/j.jcp.2005.01.029
    • (2005) J. Comput. Phys. , vol.208 , pp. 154-174
    • Mazzia, A.1    Putti, M.2
  • 40
    • 85189838013 scopus 로고    scopus 로고
    • Nag Library Manual, 2005. .
    • Nag Library Manual, 2005. .
  • 41
    • 24644483788 scopus 로고    scopus 로고
    • A dual multi-level urban drainage model
    • Nasello C., and Tucciarelli T. A dual multi-level urban drainage model. ASCE J. Hydr. Eng. 131 9 (2005) 743-747
    • (2005) ASCE J. Hydr. Eng. , vol.131 , Issue.9 , pp. 743-747
    • Nasello, C.1    Tucciarelli, T.2
  • 42
    • 0001998744 scopus 로고
    • A Eulerian-Lagrangian numerical scheme for the dispersion convection equation using conjugate space time grids
    • Neumann S.P. A Eulerian-Lagrangian numerical scheme for the dispersion convection equation using conjugate space time grids. J. Comput. Phys. 41 (1981) 270-294
    • (1981) J. Comput. Phys. , vol.41 , pp. 270-294
    • Neumann, S.P.1
  • 43
    • 0035336474 scopus 로고    scopus 로고
    • The DORA algorithm for network flow models with improved stability and convergence properties
    • Noto V., and Tucciarelli T. The DORA algorithm for network flow models with improved stability and convergence properties. ASCE J. Hydr. Eng. 127 5 (2001) 380-391
    • (2001) ASCE J. Hydr. Eng. , vol.127 , Issue.5 , pp. 380-391
    • Noto, V.1    Tucciarelli, T.2
  • 44
    • 0028975095 scopus 로고
    • Dispersive transport dynamics in a strongly coupled groundwater-brine flow system
    • Oldenburg M., and Pruess K. Dispersive transport dynamics in a strongly coupled groundwater-brine flow system. Water Resour. Res. 31 (1995) 289-302
    • (1995) Water Resour. Res. , vol.31 , pp. 289-302
    • Oldenburg, M.1    Pruess, K.2
  • 45
    • 0035424530 scopus 로고    scopus 로고
    • Coupled groundwater flow and transport in porous media. A conservative or non-conservative form
    • Oltean C., and Bués M.A. Coupled groundwater flow and transport in porous media. A conservative or non-conservative form. Transp. Porous Media 44 2 (2001) 219-246
    • (2001) Transp. Porous Media , vol.44 , Issue.2 , pp. 219-246
    • Oltean, C.1    Bués, M.A.2
  • 46
    • 0001218391 scopus 로고
    • A numerical technique for calculating the transient position of the saltwater front
    • Pinder G.F., and Cooper H.H. A numerical technique for calculating the transient position of the saltwater front. Water Resour. Res. 6 (1970) 875-882
    • (1970) Water Resour. Res. , vol.6 , pp. 875-882
    • Pinder, G.F.1    Cooper, H.H.2
  • 48
    • 0016494850 scopus 로고
    • A Galerkin-finite-element technique for calculating the transient position of the saltwater front
    • Segol G., Pinder G.F., and Gray W.A. A Galerkin-finite-element technique for calculating the transient position of the saltwater front. Water Resour. Res. 11 2 (1975) 343-347
    • (1975) Water Resour. Res. , vol.11 , Issue.2 , pp. 343-347
    • Segol, G.1    Pinder, G.F.2    Gray, W.A.3
  • 49
    • 0025586456 scopus 로고
    • Stream functions and equivalent freshwater heads for modelling regional flow of variable-density groundwater 1. Review of theory and verification
    • Senger R.K., and Fogg G.E. Stream functions and equivalent freshwater heads for modelling regional flow of variable-density groundwater 1. Review of theory and verification. Water Resour. Res. 26 9 (1990) 2089-2096
    • (1990) Water Resour. Res. , vol.26 , Issue.9 , pp. 2089-2096
    • Senger, R.K.1    Fogg, G.E.2
  • 50
    • 33747822906 scopus 로고    scopus 로고
    • Addition of simultaneous heat and solute transport and variable fluid viscosity to SEAWATER
    • 10.1016/j.cageo.2006.04.005
    • Thorne D.T., Langevin C.D., and Sukopc M.C. Addition of simultaneous heat and solute transport and variable fluid viscosity to SEAWATER. Comput. Geosci. 32 (2006) 1758-1768 10.1016/j.cageo.2006.04.005
    • (2006) Comput. Geosci. , vol.32 , pp. 1758-1768
    • Thorne, D.T.1    Langevin, C.D.2    Sukopc, M.C.3
  • 51
    • 0033830133 scopus 로고    scopus 로고
    • Finite-element modelling of floodplain flows
    • Tucciarelli T., and Termini D. Finite-element modelling of floodplain flows. ASCE J. Hydr. Eng. 126 6 (2000) 416-424
    • (2000) ASCE J. Hydr. Eng. , vol.126 , Issue.6 , pp. 416-424
    • Tucciarelli, T.1    Termini, D.2
  • 52
    • 85189840503 scopus 로고    scopus 로고
    • I. Voss, A finite-element simulation model for saturated-unsaturated fluid-density-dependent groundwater flow with energy transport or chemically-reactive single-species solute transport, in: US Geol. Surv., Water Resour. Invest., Rep. 84-4369, 1984, p. 409.
    • I. Voss, A finite-element simulation model for saturated-unsaturated fluid-density-dependent groundwater flow with energy transport or chemically-reactive single-species solute transport, in: US Geol. Surv., Water Resour. Invest., Rep. 84-4369, 1984, p. 409.
  • 53
    • 0023518042 scopus 로고
    • Variable-density flow and solute transport simulation of regional aquifers containing a narrow freshwater-saltwater transition zone
    • Voss I., and Souza W.R. Variable-density flow and solute transport simulation of regional aquifers containing a narrow freshwater-saltwater transition zone. Water. Resour. Res. 23 10 (1987) 1851-1866
    • (1987) Water. Resour. Res. , vol.23 , Issue.10 , pp. 1851-1866
    • Voss, I.1    Souza, W.R.2
  • 54
    • 0032799706 scopus 로고    scopus 로고
    • Modelling variable-density flow and solute transport in porous medium: 2. Re-evaluation of the salt dome flow problem
    • Younes A., Ackerer P., and Mosè R. Modelling variable-density flow and solute transport in porous medium: 2. Re-evaluation of the salt dome flow problem. Transp. Porous Media 35 3 (1999) 375-394
    • (1999) Transp. Porous Media , vol.35 , Issue.3 , pp. 375-394
    • Younes, A.1    Ackerer, P.2    Mosè, R.3


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