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Volumn 21, Issue 1, 1998, Pages 11-26

Solution of the advection-dispersion equation in two dimensions by a finite-volume Eulerian-Lagrangian localized adjoint method

Author keywords

Advection dispersion equation; Backtracking; Eulerian Lagrangian method; Finite volume method; Forward tracking; Mass conservation; Method of characteristics

Indexed keywords

BOUNDARY CONDITIONS; COMPUTATIONAL METHODS; FINITE VOLUME METHOD; INTEGRATION; MASS TRANSFER;

EID: 0031080235     PISSN: 03091708     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0309-1708(96)00033-4     Document Type: Article
Times cited : (61)

References (24)
  • 1
    • 0000439432 scopus 로고
    • A characteristics-mixed finite element method for advection-dominated transport problems
    • Arbogast, T. & Wheeler, M. F., A characteristics-mixed finite element method for advection-dominated transport problems. SIAM J. Numer. Anal., 32 (1995) 404-24.
    • (1995) SIAM J. Numer. Anal. , vol.32 , pp. 404-424
    • Arbogast, T.1    Wheeler, M.F.2
  • 3
    • 0029656428 scopus 로고    scopus 로고
    • A finite volume Eulerian-Lagrangian localized adjoint method for solution of the contaminant transport equations in two-dimensional multiphase flow systems
    • Binning, P. J. & Celia, M. A., A finite volume Eulerian-Lagrangian localized adjoint method for solution of the contaminant transport equations in two-dimensional multiphase flow systems, Water Resour. Res. 32 (1996) 103-14.
    • (1996) Water Resour. Res. , vol.32 , pp. 103-114
    • Binning, P.J.1    Celia, M.A.2
  • 4
    • 0024198745 scopus 로고
    • An analysis of some classes of Petrov-Galerkin and optimal test function methods
    • ed. M. A. Celia et al. Computational Mechanics Publications, Southampton, U.K.
    • Bouloutas, E. T. & Celia, M. A., An analysis of some classes of Petrov-Galerkin and optimal test function methods. Proceedings of Seventh International Conference on Computational Methods in Water Resources, vol. 2, ed. M. A. Celia et al. Computational Mechanics Publications, Southampton, U.K., 1988, pp. 15-20.
    • (1988) Proceedings of Seventh International Conference on Computational Methods in Water Resources , vol.2 , pp. 15-20
    • Bouloutas, E.T.1    Celia, M.A.2
  • 5
    • 0013447863 scopus 로고
    • A Fourier analysis and optimization of the Petrov-Galerkin finite element method
    • ed. Alexander Peters et al. Kluwer Academic Press, London
    • Carrano, C. S. & Yeh, G.-T., A Fourier analysis and optimization of the Petrov-Galerkin finite element method. In Computational Methods in Water Resources X, ed. Alexander Peters et al. Kluwer Academic Press, London, 1994, pp. 191-8.
    • (1994) Computational Methods in Water Resources X , vol.10 , pp. 191-198
    • Carrano, C.S.1    Yeh, G.-T.2
  • 6
    • 0000337344 scopus 로고
    • Eulerian-Lagrangian localized adjoint methods for contaminant transport simulations
    • ed. Alexander Peters et al. Kluwer Academic Press, London
    • Celia, M. A., Eulerian-Lagrangian localized adjoint methods for contaminant transport simulations. In Computational Methods in Water Resources X, ed. Alexander Peters et al. Kluwer Academic Press, London, 1994, pp. 207-16.
    • (1994) Computational Methods in Water Resources X , vol.10 , pp. 207-216
    • Celia, M.A.1
  • 7
    • 0025639748 scopus 로고
    • An Eulerian-Lagrangian localized adjoint method for the advection-diffusion equation
    • Celia, M. A., Russell, T. F., Herrera, I. & Ewing, R. E., 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
  • 8
    • 0025536858 scopus 로고
    • An Eulerian-Lagrangian localized adjoint method for reactive transport in groundwater
    • ed. G. Gambolati et al. Springer, New York
    • Celia, M. A. & Zisman, S., An Eulerian-Lagrangian localized adjoint method for reactive transport in groundwater. In Computational Methods in Water Resources VIII, ed. G. Gambolati et al. Springer, New York, 1990, pp. 383-92.
    • (1990) Computational Methods in Water Resources VIII , vol.8 , pp. 383-392
    • Celia, M.A.1    Zisman, S.2
  • 9
    • 0026293366 scopus 로고
    • A new total variation diminishing scheme for the solution of advective-dominant solute transport
    • Cox, R. S. & Nishikawa, T., A new total variation diminishing scheme for the solution of advective-dominant solute transport. Water Resour. Res., 27 (1991) 2645-54.
    • (1991) Water Resour. Res. , vol.27 , pp. 2645-2654
    • Cox, R.S.1    Nishikawa, T.2
  • 10
    • 0001235787 scopus 로고
    • Numerical methods for convection-dominated diffusion problems based on combining the method of characteristics with finite element or finite difference procedures
    • Douglas, J. Jr & Russell, T. F., 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 (1982) 871-85.
    • (1982) SIAM J. Numer. Anal. , vol.19 , pp. 871-885
    • Douglas J., Jr.1    Russell, T.F.2
  • 11
    • 0027086480 scopus 로고
    • Numerical Methods for reactive transport and biodegradation
    • ed. T. F. Russell et al. Computational Mechanics Publications, Southampton, UK
    • Ewing, R. E. & Celia, M. A., Numerical Methods for reactive transport and biodegradation. In Computational Methods in Water Resources IX, ed. T. F. Russell et al. Computational Mechanics Publications, Southampton, UK, 1992, pp. 51-8.
    • (1992) Computational Methods in Water Resources IX , vol.9 , pp. 51-58
    • Ewing, R.E.1    Celia, M.A.2
  • 12
    • 0027789834 scopus 로고
    • A finite-volume Eulerian-Lagrangian localized adjoint method for solution of the advection-dispersion equation
    • Healy, R. W. & Russell, T. F., A finite-volume Eulerian-Lagrangian localized adjoint method for solution of the advection-dispersion equation. Water Resour. Res., 29 (1993) 2399-413.
    • (1993) Water Resour. Res. , vol.29 , pp. 2399-2413
    • Healy, R.W.1    Russell, T.F.2
  • 13
    • 0027623441 scopus 로고
    • Eulerian-Lagrangian localized adjoint methods: The theoretical framework
    • Herrera, I., Ewing, R. E., Celia, M. A. & Russell, T. F., Eulerian-Lagrangian localized adjoint methods: the theoretical framework. Numer. Meth. PDEs, 9 (1993) 431-58.
    • (1993) Numer. Meth. PDEs , vol.9 , pp. 431-458
    • Herrera, I.1    Ewing, R.E.2    Celia, M.A.3    Russell, T.F.4
  • 14
    • 0028668020 scopus 로고
    • A semianalytical method of path line computation for transient finite-difference groundwater flow models
    • Lu, Ning, A semianalytical method of path line computation for transient finite-difference groundwater flow models. Water Resour. Res., 30 (1994) 2449-59.
    • (1994) Water Resour. Res. , vol.30 , pp. 2449-2459
    • Lu, N.1
  • 15
    • 0000917798 scopus 로고
    • Stability of the Lagrange-Galerkin method with nonexact integration
    • Morton, K. W., Priestley, A. & Suli, E., Stability of the Lagrange-Galerkin method with nonexact integration. Model. Math. Anal. Numer., 22 (1988) 625-53.
    • (1988) Model. Math. Anal. Numer. , vol.22 , pp. 625-653
    • Morton, K.W.1    Priestley, A.2    Suli, E.3
  • 16
    • 0025551361 scopus 로고
    • Adjoint Petrov-Galerkin method with optimal weight and interpolation functions defined on multi-dimensional nested grids
    • ed. G. Gambolati et al. Springer, New York
    • Neuman, S. P., Adjoint Petrov-Galerkin method with optimal weight and interpolation functions defined on multi-dimensional nested grids. In Computational Methods in Water Resources VIII, ed. G. Gambolati et al. Springer, New York, 1990, pp. 347-56.
    • (1990) Computational Methods in Water Resources VIII , vol.8 , pp. 347-356
    • Neuman, S.P.1
  • 17
    • 0024163446 scopus 로고
    • Semianalytical computation of path lines for finite-difference models
    • Pollock, D. W., Semianalytical computation of path lines for finite-difference models, Ground Water, 26 (1988) 743-50.
    • (1988) Ground Water , vol.26 , pp. 743-750
    • Pollock, D.W.1
  • 18
    • 0003967936 scopus 로고
    • Documentation of computer programs to compute and display pathlines using results from the US geological survey modular three-dimensional finite-difference groundwater flow model
    • Pollock, D. W., Documentation of computer programs to compute and display pathlines using results from the US Geological Survey modular three-dimensional finite-difference groundwater flow model. US Geological Survey Open File Report 89-381, 1989.
    • (1989) US Geological Survey Open File Report 89-381
    • Pollock, D.W.1
  • 19
    • 0005940504 scopus 로고
    • A mixed finite element method for second order elliptic problems, Mathematical aspects of the finite element method, Rome 1975
    • Springer, Berlin
    • Raviart, P. A. & Thomas, J. M., A mixed finite element method for second order elliptic problems, Mathematical Aspects of the Finite Element Method, Rome 1975. In Lecture Notes in Mathematics. Vol. 606, Springer, Berlin, 1977.
    • (1977) Lecture Notes in Mathematics , vol.606
    • Raviart, P.A.1    Thomas, J.M.2
  • 20
    • 0000117126 scopus 로고
    • Eulerian-Lagrangian localized adjoint methods for advection-dominated problems
    • ed. D. F. Griffiths & G. A. Watson. Longman Scientific and Technical, Harlow, UK
    • Russell, T. F., Eulerian-Lagrangian localized adjoint methods for advection-dominated problems. In Numerical Analysis, 1989, Pitman Res. Notes Math, Series, Vol. 228, ed. D. F. Griffiths & G. A. Watson. Longman Scientific and Technical, Harlow, UK, 1990, pp. 206-28.
    • (1990) Numerical Analysis, 1989, Pitman Res. Notes Math, Series , vol.228 , pp. 206-228
    • Russell, T.F.1
  • 21
    • 85033917969 scopus 로고    scopus 로고
    • A new tracking procedure for use in characteristic methods for solving the advection-dispersion equation
    • in preparation
    • Russell, T. F. & Healy, R. W., A new tracking procedure for use in characteristic methods for solving the advection-dispersion equation. Comp. Geosci. (in preparation).
    • Comp. Geosci.
    • Russell, T.F.1    Healy, R.W.2
  • 22
    • 0026302196 scopus 로고
    • Efficient and accurate front tracking for two-dimensional groundwater flow models
    • Schafer-Perini, A. L. & Wilson, J. L., Efficient and accurate front tracking for two-dimensional groundwater flow models. Water Resour. Res., 27 (1991) 1471-85.
    • (1991) Water Resour. Res. , vol.27 , pp. 1471-1485
    • Schafer-Perini, A.L.1    Wilson, J.L.2
  • 23
    • 77957214696 scopus 로고
    • Eulerian-Lagrangian localized adjoint methods for convection-diffusion equations and their convergence analysis
    • Wang, H., Ewing, R. E. & Russell, T. F., Eulerian-Lagrangian localized adjoint methods for convection-diffusion equations and their convergence analysis. IMA J. Numer. Anal., 15 (1995) 405-59.
    • (1995) IMA J. Numer. Anal. , vol.15 , pp. 405-459
    • Wang, H.1    Ewing, R.E.2    Russell, T.F.3
  • 24
    • 0038930839 scopus 로고
    • Analytical solutions for one-, two-, and three-dimensional solute transport in ground-water systems with uniform flow
    • Book 3 Chapter B7
    • Wexler, E. J., Analytical solutions for one-, two-, and three-dimensional solute transport in ground-water systems with uniform flow. Techniques of Water-Resources Inv. of the US Geological Survey, Book 3 Chapter B7, 1992.
    • (1992) Techniques of Water-Resources Inv. of the US Geological Survey
    • Wexler, E.J.1


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