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Volumn 25, Issue 4, 1997, Pages 437-454

Transient 1D transport equation simulated by a mixed green element formulation

Author keywords

Diffusion advection; Green element method

Indexed keywords

BOUNDARY CONDITIONS; DIFFERENTIAL EQUATIONS; DIFFUSION; EQUATIONS OF MOTION; FINITE ELEMENT METHOD; FLOW OF FLUIDS; GREEN'S FUNCTION; INTEGRAL EQUATIONS; INTERPOLATION; TRANSPORT PROPERTIES;

EID: 0031213240     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: 10.1002/(sici)1097-0363(19970830)25:4<437::aid-fld570>3.0.co;2-j     Document Type: Article
Times cited : (18)

References (29)
  • 1
    • 0345931551 scopus 로고
    • Analytical models for groundwater pollution and hydrology
    • Water Resources Program, Princeton University
    • R. W. Clearly and M. J. Ungs, 'Analytical models for groundwater pollution and hydrology', Rep. 78-WR-15, Water Resources Program, Princeton University, 1978.
    • (1978) Rep. 78-WR-15
    • Clearly, R.W.1    Ungs, M.J.2
  • 2
    • 85040293669 scopus 로고
    • Analytical solutions of the one-dimensional convective-dispersive solute transportk equation
    • U.S. Department of Agriculture
    • M. Th. van Genuchten and W. J. Alves, 'Analytical solutions of the one-dimensional convective-dispersive solute transportk equation', Tech. Bull. 1661, U.S. Department of Agriculture, 1982.
    • (1982) Tech. Bull. 1661
    • Van Genuchten, M.Th.1    Alves, W.J.2
  • 3
    • 0002482775 scopus 로고
    • Numerical calculation of multi-dimensional miscible displacement
    • D. W. Peaceman and H. H. Rachford Jr., 'Numerical calculation of multi-dimensional miscible displacement', Soc. Petrol. Eng. J., 2, 327-339 (1962).
    • (1962) Soc. Petrol. Eng. J. , vol.2 , pp. 327-339
    • Peaceman, D.W.1    Rachford Jr., H.H.2
  • 4
    • 0001168441 scopus 로고
    • Numerical methods of higher-order accuracy for diffusion-convection equations
    • H. S. Price, J. C. Cavendish and R. S. Varga, 'Numerical methods of higher-order accuracy for diffusion-convection equations', Soc. Petrol Eng. J., 16, 293-300 (1968).
    • (1968) Soc. Petrol Eng. J. , vol.16 , pp. 293-300
    • Price, H.S.1    Cavendish, J.C.2    Varga, R.S.3
  • 5
    • 0018571491 scopus 로고
    • Using models to simulate the movement of contaminant through groundwater flow systems
    • M. P. Anderson, 'Using models to simulate the movement of contaminant through groundwater flow systems', CRC Crit. Rev. Environ. Control, 9 97-156 (1979).
    • (1979) CRC Crit. Rev. Environ. Control , vol.9 , pp. 97-156
    • Anderson, M.P.1
  • 7
    • 0016886436 scopus 로고
    • An analysis of the numerical solution of the transport equation
    • W. G. Gray and G. F. Pinder, 'An analysis of the numerical solution of the transport equation', Water Resources Res., 12 547-555 (1976).
    • (1976) Water Resources Res. , vol.12 , pp. 547-555
    • Gray, W.G.1    Pinder, G.F.2
  • 8
    • 0015368687 scopus 로고
    • A novel finite difference formulation for differential equations involving both first and second derivatives
    • D. B. Spalding, 'A novel finite difference formulation for differential equations involving both first and second derivatives', Int. j. numer. methods eng., 4, 551-559 (1972).
    • (1972) Int. J. Numer. Methods Eng. , vol.4 , pp. 551-559
    • Spalding, D.B.1
  • 10
    • 0020969743 scopus 로고
    • A proposed upstream weight numerical method for simulating pollutant transport in groundwater
    • N.-Z. Sun and W. W.-G. Yeh, 'A proposed upstream weight numerical method for simulating pollutant transport in groundwater', Water Resources Res., 19, 1489-1500 (1983).
    • (1983) Water Resources Res. , vol.19 , pp. 1489-1500
    • Sun, N.-Z.1    Yeh, W.W.-G.2
  • 11
    • 0019607241 scopus 로고
    • Streamline upwind/Petrov-Galerkin formulation for convection dominated flows with particular emphasis on incompressible Navier Stokes equation
    • A. N. Brooks and T. J. R. Hughes, 'Streamline upwind/Petrov-Galerkin formulation for convection dominated flows with particular emphasis on incompressible Navier Stokes equation', Comput. Methods Appl. Mech. Eng., 32, 199-259 (1982).
    • (1982) Comput. Methods Appl. Mech. Eng. , vol.32 , pp. 199-259
    • Brooks, A.N.1    Hughes, T.J.R.2
  • 12
    • 0020830974 scopus 로고
    • Accurate Petrov-Galerkin methods for transient convective diffusion problems
    • E. Dick, 'Accurate Petrov-Galerkin methods for transient convective diffusion problems', Int. j. numer. methods eng., 19, 1425-1433 (1983).
    • (1983) Int. J. Numer. Methods Eng. , vol.19 , pp. 1425-1433
    • Dick, E.1
  • 13
    • 0003516881 scopus 로고
    • The finite analytic method
    • University of Iowa
    • C.-J. Chen and H.-C. Chen, 'The finite analytic method', IIHR Rep. 232-IV, University of Iowa, 1982.
    • (1982) IIHR Rep. 232-IV
    • Chen, C.-J.1    Chen, H.-C.2
  • 14
    • 5844420819 scopus 로고
    • A node-moving method of solution with application to the convection-diffusion equation
    • Sacramento, CA, May
    • O. O. Onyejekwe, 'A node-moving method of solution with application to the convection-diffusion equation', Proc. 30th Heat Transfer and Fluid Mechanics Conf. Sacramento, CA, May 1987, pp. 81-87.
    • (1987) Proc. 30th Heat Transfer and Fluid Mechanics Conf. , pp. 81-87
    • Onyejekwe, O.O.1
  • 17
    • 0022766527 scopus 로고
    • An integral solution for the diffusion-advection equation
    • A. E. Taigbenu and J. A. Liggett, 'An integral solution for the diffusion-advection equation', Water Resources Res., 22, 1237-1246 (1986).
    • (1986) Water Resources Res. , vol.22 , pp. 1237-1246
    • Taigbenu, A.E.1    Liggett, J.A.2
  • 18
    • 0024620101 scopus 로고
    • A boundary-only procedure for transient transport problems with or without first-order chemical reaction
    • M. A. Aral and Y. Tang, 'A boundary-only procedure for transient transport problems with or without first-order chemical reaction', Appl. Math. Model., 13, 130-137 (1989).
    • (1989) Appl. Math. Model. , vol.13 , pp. 130-137
    • Aral, M.A.1    Tang, Y.2
  • 20
    • 0026369369 scopus 로고
    • The use of a higher interpolating function in conjunction with the Green element method
    • Rabat, October
    • A. E. Taigbenu, "The use of a higher interpolating function in conjunction with the Green element method', Proc. Conf. on Computer Methods and Water Resources, Rabat, October 1991, pp. 293-305.
    • (1991) Proc. Conf. on Computer Methods and Water Resources , pp. 293-305
    • Taigbenu, A.E.1
  • 23
    • 0029395225 scopus 로고
    • Green element simulations of the transient nonlinear unsaturated flow equation
    • A. E. Taigbenu and O. O. Onyejekwe, 'Green element simulations of the transient nonlinear unsaturated flow equation', Appl. Math. Model., 19, 675-684 (1995).
    • (1995) Appl. Math. Model. , vol.19 , pp. 675-684
    • Taigbenu, A.E.1    Onyejekwe, O.O.2
  • 24
    • 0031095271 scopus 로고    scopus 로고
    • A mixed Green element formulation for transient Burgers equation
    • A. E. Taigbenu and O. O. Onyejekwe, 'A mixed Green element formulation for transient Burgers equation', Int. j. numer. methods fluids, 24, 563-578 (1997).
    • (1997) Int. J. Numer. Methods Fluids , vol.24 , pp. 563-578
    • Taigbenu, A.E.1    Onyejekwe, O.O.2
  • 25
    • 0030383689 scopus 로고    scopus 로고
    • Green element description of mass transfer in reacting systems
    • O. O. Onyejekwe, 'Green element description of mass transfer in reacting systems', Numer. Heat Transfer, B30, 483-498 (1996).
    • (1996) Numer. Heat Transfer , vol.B30 , pp. 483-498
    • Onyejekwe, O.O.1
  • 26
    • 0002816408 scopus 로고
    • A solution of the differential equation of longitudinal dispersion in porous media
    • A. Ogata and R. B. Banks, 'A solution of the differential equation of longitudinal dispersion in porous media', U.S. Geol. Surv. Prof. Paper 411-A, 1961.
    • (1961) U.S. Geol. Surv. Prof. Paper 411-A
    • Ogata, A.1    Banks, R.B.2
  • 27
    • 0023330413 scopus 로고
    • A boundary element-finite procedure for porous and fractured media flow
    • D. Ellsworth, 'A boundary element-finite procedure for porous and fractured media flow', Water Resources Res., 12, 551-560 (1987).
    • (1987) Water Resources Res. , vol.12 , pp. 551-560
    • Ellsworth, D.1
  • 28
    • 0017438738 scopus 로고
    • The coupling of the finite element method and boundary solution procedures
    • O. C. Zienkiewicz, D. W. Kelly and P. Bettes, 'The coupling of the finite element method and boundary solution procedures', Int. j. numer methods eng., 11, 355-375 (1977).
    • (1977) Int. J. Numer Methods Eng. , vol.11 , pp. 355-375
    • Zienkiewicz, O.C.1    Kelly, D.W.2    Bettes, P.3
  • 29
    • 0027699199 scopus 로고
    • Coupling finite element and boundary element methods for two-dimensional problems
    • T. Krishnamurthy and I. S. Raju, 'Coupling finite element and boundary element methods for two-dimensional problems', Int. j. numer. methods eng., 36, 3395-3616 (1993).
    • (1993) Int. J. Numer. Methods Eng. , vol.36 , pp. 3395-3616
    • Krishnamurthy, T.1    Raju, I.S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.