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Volumn 29, Issue 5, 2006, Pages 657-675

An ELLAM approximation for advective-dispersive transport with nonlinear sorption

Author keywords

Contaminant transport; ELLAM; Freundlich; Porous media

Indexed keywords

APPROXIMATION THEORY; FINITE ELEMENT METHOD; FINITE VOLUME METHOD; MATHEMATICAL MODELS; NONLINEAR EQUATIONS; SEDIMENT TRANSPORT;

EID: 33644610748     PISSN: 03091708     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.advwatres.2005.07.001     Document Type: Article
Times cited : (16)

References (45)
  • 1
    • 0033617509 scopus 로고    scopus 로고
    • Second-order characteristic methods for advection-diffusion equations and comparison to other schemes
    • M. Al-Lawatia R.C. Sharpley H. Wang Second-order characteristic methods for advection-diffusion equations and comparison to other schemes Adv Water Resour 22 7 1999 741-768
    • (1999) Adv Water Resour , vol.22 , Issue.7 , pp. 741-768
    • Al-Lawatia, M.1    Sharpley, R.C.2    Wang, H.3
  • 2
    • 0036704650 scopus 로고    scopus 로고
    • New modeling paradigms for the sorption of hydrophobic organic chemicals to heterogeneous carbonaceous matter in soils, sediments, and rocks
    • R.M. AllenKing P. Grathwohl W.P. Ball New modeling paradigms for the sorption of hydrophobic organic chemicals to heterogeneous carbonaceous matter in soils, sediments, and rocks Adv Water Resour 25 8-12 2002 985-1016
    • (2002) Adv Water Resour , vol.25 , Issue.8-12 , pp. 985-1016
    • AllenKing, R.M.1    Grathwohl, P.2    Ball, W.P.3
  • 4
    • 0001231523 scopus 로고    scopus 로고
    • An improved error bound for a Lagrange-Galerkin method for contaminant transport with non-Lipschitzian adsorption kinetics
    • J.W. Barrett P. Knabner An improved error bound for a Lagrange-Galerkin method for contaminant transport with non-Lipschitzian adsorption kinetics SIAM J Numer Anal 35 5 1998 1862-1882
    • (1998) SIAM J Numer Anal , vol.35 , Issue.5 , pp. 1862-1882
    • Barrett, J.W.1    Knabner, P.2
  • 6
    • 1842734917 scopus 로고    scopus 로고
    • A split operator approach to reactive transport with the forward particle tracking Eulerian-Lagrangian localized adjoint method
    • L.S.J. Bell P.J. Binning A split operator approach to reactive transport with the forward particle tracking Eulerian-Lagrangian localized adjoint method Adv Water Resour 27 2004 323-334
    • (2004) Adv Water Resour , vol.27 , pp. 323-334
    • Bell, L.S.J.1    Binning, P.J.2
  • 7
    • 0029656428 scopus 로고    scopus 로고
    • A finite volume Eulerian-Lagrangian localized adjoint method for solution of contaminant transport equations in two-dimensional multiphase flow systems
    • P. Binning M.A. Celia A finite volume Eulerian-Lagrangian localized adjoint method for solution of contaminant transport equations in two-dimensional multiphase flow systems Water Resour Res 32 1 1996 103-147
    • (1996) Water Resour Res , vol.32 , Issue.1 , pp. 103-147
    • Binning, P.1    Celia, M.A.2
  • 8
    • 0036476246 scopus 로고    scopus 로고
    • A forward particle tracking Eulerian-Lagrangian localized adjoint method for solution of the contaminant transport equation in three dimensions
    • P. Binning M.A. Celia A forward particle tracking Eulerian-Lagrangian localized adjoint method for solution of the contaminant transport equation in three dimensions Adv Water Resour 25 2002 147-157
    • (2002) Adv Water Resour , vol.25 , pp. 147-157
    • Binning, P.1    Celia, M.A.2
  • 9
    • 0025639748 scopus 로고
    • An Eulerian-Lagrangian localized adjoint method for the advection-diffusion equation
    • M.A. Celia T.F. Russell I. Herrera R.E. Ewing An Eulerian-Lagrangian localized adjoint method for the advection-diffusion equation Adv Water Resour 13 1990 187-206
    • (1990) Adv Water Resour , vol.13 , pp. 187-206
    • Celia, M.A.1    Russell, T.F.2    Herrera, I.3    Ewing, R.E.4
  • 10
    • 0035455903 scopus 로고    scopus 로고
    • Nonlinear particle tracking for high-order elements
    • G. Coppola S.J. Sherwin J. Peiró Nonlinear particle tracking for high-order elements J Comput Phys 172 2001 356-386
    • (2001) J Comput Phys , vol.172 , pp. 356-386
    • Coppola, G.1    Sherwin, S.J.2    Peiró, J.3
  • 11
    • 0029294340 scopus 로고
    • Eulerian-Lagrangian localized adjoint methods for a nonlinear advection-diffusion equation
    • H.K. Dahle R.E. Ewing T.F. Russell Eulerian-Lagrangian localized adjoint methods for a nonlinear advection-diffusion equation Comput Methods Appl Mech Eng 122 1995 223-250
    • (1995) Comput Methods Appl Mech Eng , vol.122 , pp. 223-250
    • Dahle, H.K.1    Ewing, R.E.2    Russell, T.F.3
  • 12
    • 0028485504 scopus 로고
    • Characteristic-Galerkin methods for contaminant transport with nonequilibrium adsorption kinetics
    • C.N. Dawson C.J. van Duijn M.F. Wheeler Characteristic-Galerkin methods for contaminant transport with nonequilibrium adsorption kinetics SIAM J Numer Anal 31 1994 982-999
    • (1994) SIAM J Numer Anal , vol.31 , pp. 982-999
    • Dawson, C.N.1    van Duijn, C.J.2    Wheeler, M.F.3
  • 13
    • 0001235787 scopus 로고
    • Numerical methods for convection-dominated diffusion problems based on combining the method of characteristics with finite element or finite difference procedures
    • J. Douglas Jr. T.F. Russell Numerical methods for convection-dominated diffusion problems based on combining the method of characteristics with finite element or finite difference procedures SIAM J Numer Anal 19 5 1982 871-885
    • (1982) SIAM J Numer Anal , vol.19 , Issue.5 , pp. 871-885
    • Douglas Jr., J.1    Russell, T.F.2
  • 14
    • 0035280404 scopus 로고    scopus 로고
    • A summary of numerical methods for time-dependent advection-dominated partial differential equations
    • R.E. Ewing H. Wang A summary of numerical methods for time-dependent advection-dominated partial differential equations J Comput Appl Math 128 2001 423-445
    • (2001) J Comput Appl Math , vol.128 , pp. 423-445
    • Ewing, R.E.1    Wang, H.2
  • 15
    • 33644631531 scopus 로고    scopus 로고
    • An ELLAM approximation for advective-dispersive transport with nonlinear sorption
    • C.T. Miller M.W. Farthing W.G. Gray G.F. Pinder Elsevier Science Amsterdam, The Netherlands
    • M.W. Farthing C.E. Kees T.F. Russell C.T. Miller An ELLAM approximation for advective-dispersive transport with nonlinear sorption C.T. Miller M.W. Farthing W.G. Gray G.F. Pinder Computational methods in water resources XV vol. 1 2004 Elsevier Science Amsterdam, The Netherlands 505-518
    • (2004) Computational Methods in Water Resources XV , vol.1 , pp. 505-518
    • Farthing, M.W.1    Kees, C.E.2    Russell, T.F.3    Miller, C.T.4
  • 16
    • 0034306786 scopus 로고    scopus 로고
    • A comparison of high-resolution, finite-volume, adaptive-stencil schemes for simulating advective-dispersive transport
    • M.W. Farthing C.T. Miller A comparison of high-resolution, finite-volume, adaptive-stencil schemes for simulating advective-dispersive transport Adv Water Resour 24 1 2000 29-48
    • (2000) Adv Water Resour , vol.24 , Issue.1 , pp. 29-48
    • Farthing, M.W.1    Miller, C.T.2
  • 17
    • 0027789834 scopus 로고
    • A finite-volume Eulerian-Lagrangian localized adjoint method for solution of the advection-dispersion equation
    • R.W. Healy T.F. Russell A finite-volume Eulerian-Lagrangian localized adjoint method for solution of the advection-dispersion equation Water Resour Res 29 7 1993 2399-2413
    • (1993) Water Resour Res , vol.29 , Issue.7 , pp. 2399-2413
    • Healy, R.W.1    Russell, T.F.2
  • 18
    • 0031080235 scopus 로고    scopus 로고
    • Solution of the advection-dispersion equation in two dimensions by a finite-volume Eulerian-Lagrangian localized adjoint method
    • R.W. Healy T.F. Russell Solution of the advection-dispersion equation in two dimensions by a finite-volume Eulerian-Lagrangian localized adjoint method Adv Water Resour 21 1998 11-26
    • (1998) Adv Water Resour , vol.21 , pp. 11-26
    • Healy, R.W.1    Russell, T.F.2
  • 19
    • 0942281516 scopus 로고    scopus 로고
    • Front tracking for hyperbolic conservation laws
    • New York, NY: Springer-Verlag
    • H. Holden N.H. Risebro Front tracking for hyperbolic conservation laws 2002 Springer-Verlag New York, NY
    • (2002)
    • Holden, H.1    Risebro, N.H.2
  • 20
    • 0037399650 scopus 로고    scopus 로고
    • Comparison of fully coupled approaches for approximating nonlinear transport and reaction problems
    • J.F. Kanney C.T. Miller D.A. Barry Comparison of fully coupled approaches for approximating nonlinear transport and reaction problems Adv Water Resour 26 4 2003 353-372
    • (2003) Adv Water Resour , vol.26 , Issue.4 , pp. 353-372
    • Kanney, J.F.1    Miller, C.T.2    Barry, D.A.3
  • 21
    • 0031997184 scopus 로고    scopus 로고
    • A front tracking approach to a two-phase fluid flow model with capillary forces
    • K. Hvistendahl Karlsen K.-A. Lie N.H. Risebro J. Frøyen A front tracking approach to a two-phase fluid flow model with capillary forces In Situ 22 1 1998 59-89
    • (1998) In Situ , vol.22 , Issue.1 , pp. 59-89
    • Hvistendahl Karlsen, K.1    Lie, K.-A.2    Risebro, N.H.3    Frøyen, J.4
  • 22
    • 10444234316 scopus 로고    scopus 로고
    • Solution of contaminant transport with equilibrium and non-equilibrium adsorption
    • J. Kačur B. Malengier M. Remešíková Solution of contaminant transport with equilibrium and non-equilibrium adsorption Comput Methods Appl Mech Eng 194 2005 479-489
    • (2005) Comput Methods Appl Mech Eng , vol.194 , pp. 479-489
    • Kačur, J.1    Malengier, B.2    Remešíková, M.3
  • 23
    • 0004155392 scopus 로고
    • Iterative methods for linear and nonlinear equations
    • Philadelphia: Society for Industrial and Applied Mathematics
    • C.T. Kelley Iterative methods for linear and nonlinear equations 1995 Society for Industrial and Applied Mathematics Philadelphia
    • (1995)
    • Kelley, C.T.1
  • 24
    • 0005009567 scopus 로고
    • Lagrange-Galerkin approximation for advection-dominated nonlinear contaminant transport in porous media
    • A Peters G. Wittum B. Herrling U. Meissner C.A. Brebbia W.G. Gray G.F. Pinder Kluwer Academic Norwell, MA
    • P. Knabner J.W. Barrett H. Kappmeier Lagrange-Galerkin approximation for advection-dominated nonlinear contaminant transport in porous media A Peters G. Wittum B. Herrling U. Meissner C.A. Brebbia W.G. Gray G.F. Pinder Computational methods in water resources X vol. 1 1994 Kluwer Academic Norwell, MA 299-307
    • (1994) Computational Methods in Water Resources X , vol.1 , pp. 299-307
    • Knabner, P.1    Barrett, J.W.2    Kappmeier, H.3
  • 25
    • 33644632205 scopus 로고    scopus 로고
    • Lagrange-Galerkin approximation for advection-dominated contaminant transport with nonlinear equilibrium or non-equilibrium adsorption
    • R. Helmig W. Jäger W. Kinzelbach P. Knabner Modeling and computation in environmental sciences Vieweg Verlag Braunschweig, Germany
    • P. Knabner H. Kappmeier J.W. Barrett Lagrange-Galerkin approximation for advection-dominated contaminant transport with nonlinear equilibrium or non-equilibrium adsorption R. Helmig W. Jäger W. Kinzelbach P. Knabner Modeling and computation in environmental sciences Notes on numerical fluid mechanics vol. 59 1997 Vieweg Verlag Braunschweig, Germany 36-48
    • (1997) Notes on Numerical Fluid Mechanics , vol.59 , pp. 36-48
    • Knabner, P.1    Kappmeier, H.2    Barrett, J.W.3
  • 26
    • 0037137999 scopus 로고    scopus 로고
    • Flux correction tools for finite elements
    • D. Kuzmin S. Turek Flux correction tools for finite elements J Comput Phys 175 2002 525-558
    • (2002) J Comput Phys , vol.175 , pp. 525-558
    • Kuzmin, D.1    Turek, S.2
  • 27
    • 0030173370 scopus 로고    scopus 로고
    • On an implementation of a front tracking method for hyperbolic conservation laws
    • J.O. Langseth On an implementation of a front tracking method for hyperbolic conservation laws Adv Eng Software 26 1996 45-63
    • (1996) Adv Eng Software , vol.26 , pp. 45-63
    • Langseth, J.O.1
  • 28
    • 0003671760 scopus 로고
    • Numerical methods for conservation laws
    • Boston, MA: Birkhäuser Verlag
    • R.J. LeVeque Numerical methods for conservation laws 1992 Birkhäuser Verlag Boston, MA
    • (1992)
    • LeVeque, R.J.1
  • 30
    • 0000917798 scopus 로고
    • Stability of the Lagrange-Galerkin method with non-exact integration
    • K.W. Morton A. Priestley E. Süli Stability of the Lagrange-Galerkin method with non-exact integration Math Modell Numer Anal 22 4 1988 625-653
    • (1988) Math Modell Numer Anal , vol.22 , Issue.4 , pp. 625-653
    • Morton, K.W.1    Priestley, A.2    Süli, E.3
  • 31
    • 0001027457 scopus 로고
    • A front tracking method for conservation laws in one dimension
    • N.H. Risebro A. Tveito A front tracking method for conservation laws in one dimension J Comput Phys 101 1992 130-139
    • (1992) J Comput Phys , vol.101 , pp. 130-139
    • Risebro, N.H.1    Tveito, A.2
  • 32
    • 0036704518 scopus 로고    scopus 로고
    • An overview of research on Eulerian-Lagrangian localized adjoint methods (ELLAM)
    • T.F. Russell M.A. Celia An overview of research on Eulerian-Lagrangian localized adjoint methods (ELLAM) Adv Water Resour 25 2002 1215-1231
    • (2002) Adv Water Resour , vol.25 , pp. 1215-1231
    • Russell, T.F.1    Celia, M.A.2
  • 33
    • 0037372088 scopus 로고    scopus 로고
    • A finite-volume ELLAM for three-dimensional solute-transport modeling
    • T.F. Russell C.I. Heberton L.F. Konikow G.Z. Hornberger A finite-volume ELLAM for three-dimensional solute-transport modeling Ground Water 41 2 2003 258-272
    • (2003) Ground Water , vol.41 , Issue.2 , pp. 258-272
    • Russell, T.F.1    Heberton, C.I.2    Konikow, L.F.3    Hornberger, G.Z.4
  • 34
    • 0000117126 scopus 로고
    • Eulerian-Lagrangian localized adjoint methods for advection-dominated problems
    • D.F. Griffiths G.A. Watson Numerical analysis 1989 Longman Scientific and Technical Harlow, UK
    • T.F. Russell Eulerian-Lagrangian localized adjoint methods for advection-dominated problems D.F. Griffiths G.A. Watson Numerical analysis 1989 Pitman research notes in mathematics series vol. 228 1990 Longman Scientific and Technical Harlow, UK 206-228
    • (1990) Pitman Research Notes in Mathematics Series , vol.228 , pp. 206-228
    • Russell, T.F.1
  • 35
    • 80051601013 scopus 로고    scopus 로고
    • Oh no, not the wiggles again! a revisit of an old problem and a new approach
    • C.T. Miller M.W. Farthing W.G. Gray G.F. Pinder Elsevier Science Amsterdam, The Netherlands
    • T.F. Russell P. Binning Oh no, not the wiggles again! a revisit of an old problem and a new approach C.T. Miller M.W. Farthing W.G. Gray G.F. Pinder Computational methods in water resources XV vol. 1 2004 Elsevier Science Amsterdam, The Netherlands 483-495
    • (2004) Computational Methods in Water Resources XV , vol.1 , pp. 483-495
    • Russell, T.F.1    Binning, P.2
  • 36
    • 0030265333 scopus 로고    scopus 로고
    • Eulerian-Lagrangian localized adjoint methods for systems of nonlinear advective-diffusive-reactive transport equations
    • J.E. Våg H. Wang H.K. Dahle Eulerian-Lagrangian localized adjoint methods for systems of nonlinear advective-diffusive-reactive transport equations Adv Water Resour 19 5 1996 297-315
    • (1996) Adv Water Resour , vol.19 , Issue.5 , pp. 297-315
    • Våg, J.E.1    Wang, H.2    Dahle, H.K.3
  • 37
    • 0002509466 scopus 로고
    • Solute transport in porous-media with equilibrium and nonequilibrium multiple-site adsorption - Traveling waves
    • C.J. van Duijn P. Knabner Solute transport in porous-media with equilibrium and nonequilibrium multiple-site adsorption - traveling waves J Für Die Reine Angew Math 415 1991 1-49
    • (1991) J Für Die Reine Angew Math , vol.415 , pp. 1-49
    • van Duijn, C.J.1    Knabner, P.2
  • 38
    • 0026487791 scopus 로고
    • Travelling waves in the transport of reactive solutes through porous-media - Adsorption and binary ion-exchange. 1
    • C.J. van Duijn P. Knabner Travelling waves in the transport of reactive solutes through porous-media - adsorption and binary ion-exchange. 1 Transp Porous Media 8 2 1992 167-194
    • (1992) Transp Porous Media , vol.8 , Issue.2 , pp. 167-194
    • van Duijn, C.J.1    Knabner, P.2
  • 39
    • 0027009431 scopus 로고
    • Travelling waves in the transport of reactive solutes through porous-media - Adsorption and binary ion-exchange. 2
    • C.J. van Duijn P. Knabner Travelling waves in the transport of reactive solutes through porous-media - adsorption and binary ion-exchange. 2 Transp Porous Media 8 3 1992 199-225
    • (1992) Transp Porous Media , vol.8 , Issue.3 , pp. 199-225
    • van Duijn, C.J.1    Knabner, P.2
  • 40
    • 0012030331 scopus 로고    scopus 로고
    • A characteristic domain decomposition and space-time local refinement method for first-order linear hyperbolic equations with interfaces
    • January
    • H. Wang M. Al-Lawatia R.C. Sharpley A characteristic domain decomposition and space-time local refinement method for first-order linear hyperbolic equations with interfaces Numer Methods Partial Differ Equat 15 January 1999 1-28
    • (1999) Numer Methods Partial Differ Equat , vol.15 , pp. 1-28
    • Wang, H.1    Al-Lawatia, M.2    Sharpley, R.C.3
  • 42
    • 84985379541 scopus 로고
    • Eulerian-Lagrangian localized adjoint methods for reactive transport with biodegradation
    • H. Wang R.E. Ewing M.A. Celia Eulerian-Lagrangian localized adjoint methods for reactive transport with biodegradation Numer Methods Partial Differ Equat 11 1995 229-254
    • (1995) Numer Methods Partial Differ Equat , vol.11 , pp. 229-254
    • Wang, H.1    Ewing, R.E.2    Celia, M.A.3
  • 43
    • 33644618350 scopus 로고    scopus 로고
    • An Eulerian-Lagrangian localized adjoint method for compositional multiphase flow in the subsurface
    • C.T. Miller M.W. Farthing W.G. Gray G.F. Pinder Elsevier Science Amsterdam, The Netherlands
    • H. Wang W. Zhao M.S. Espedal A.S. Telyakovskiy An Eulerian-Lagrangian localized adjoint method for compositional multiphase flow in the subsurface C.T. Miller M.W. Farthing W.G. Gray G.F. Pinder Computational methods in water resources XV vol. 1 2004 Elsevier Science Amsterdam, The Netherlands 495-504
    • (2004) Computational Methods in Water Resources XV , vol.1 , pp. 495-504
    • Wang, H.1    Zhao, W.2    Espedal, M.S.3    Telyakovskiy, A.S.4
  • 44
    • 2142750255 scopus 로고    scopus 로고
    • An accurate moving grid Eulerian-Lagrangian localized adjoint method for solving the one-dimensional variable-coefficient ADE
    • A. Younes An accurate moving grid Eulerian-Lagrangian localized adjoint method for solving the one-dimensional variable-coefficient ADE Int J Numer Methods Fluids 45 2004 157-178
    • (2004) Int J Numer Methods Fluids , vol.45 , pp. 157-178
    • Younes, A.1
  • 45
    • 33644622393 scopus 로고    scopus 로고
    • A moving grid Eulerian-Lagrangian localized adjoint method for solving linear and nonlinear advection-diffusion-reaction equations
    • C.T. Miller M.W. Farthing W.G. Gray G.F. Pinder Computational Elsevier Science Amsterdam, The Netherlands
    • A. Younes F. Lehmann Ph. Ackerer A moving grid Eulerian-Lagrangian localized adjoint method for solving linear and nonlinear advection-diffusion-reaction equations C.T. Miller M.W. Farthing W.G. Gray G.F. Pinder Computational methods in water resources XV vol. 1 2004 Elsevier Science Amsterdam, The Netherlands 519-530
    • (2004) Computational Methods in Water Resources XV , vol.1 , pp. 519-530
    • Younes, A.1    Lehmann, F.2    Ackerer, Ph.3


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