메뉴 건너뛰기




Volumn 27, Issue 8, 1998, Pages 861-878

Numerical methods for contaminant transport in rivers and estuaries

(2)  Croucher, A E a   O'Sullivan, M J a  

a NONE

Author keywords

[No Author keywords available]

Indexed keywords

ESTUARIES; IMPURITIES; PROBLEM SOLVING; RIVERS; THREE DIMENSIONAL; TWO DIMENSIONAL; VELOCITY;

EID: 0032212973     PISSN: 00457930     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7930(98)00012-7     Document Type: Article
Times cited : (22)

References (51)
  • 4
    • 0016886436 scopus 로고
    • An analysis of the numerical solution of the transport equation
    • Gray W. G., Pinder G. F. An analysis of the numerical solution of the transport equation. Water Resources Research. 12:(3):1976;547-555.
    • (1976) Water Resources Research , vol.12 , Issue.3 , pp. 547-555
    • Gray, W.G.1    Pinder, G.F.2
  • 5
    • 0019575119 scopus 로고
    • Don't suppress the wiggles- they're telling you something!
    • Gresho P. M., Lee R. L. Don't suppress the wiggles- they're telling you something! Computers and Fluids. 9:(2):1981;223-253.
    • (1981) Computers and Fluids , vol.9 , Issue.2 , pp. 223-253
    • Gresho, P.M.1    Lee, R.L.2
  • 6
    • 0024656263 scopus 로고
    • Consistent higher degree Petrov-Galerkin methods for the solution of the transient convection-diffusion equation
    • Westerink J. J., Shea D. Consistent higher degree Petrov-Galerkin methods for the solution of the transient convection-diffusion equation. International Journal of Numerical Methods in Engineering. 28:1989;1077-1101.
    • (1989) International Journal of Numerical Methods in Engineering , vol.28 , pp. 1077-1101
    • Westerink, J.J.1    Shea, D.2
  • 9
    • 0022010130 scopus 로고
    • A generalized Galerkin method for steady convection-diffusion problems with application to quadratic shape function elements
    • Donea J., Belytschko T., Smolinski P. A generalized Galerkin method for steady convection-diffusion problems with application to quadratic shape function elements. Computational Methods in Applied Mechanical Engineering. 48:1985;25-43.
    • (1985) Computational Methods in Applied Mechanical Engineering , vol.48 , pp. 25-43
    • Donea, J.1    Belytschko, T.2    Smolinski, P.3
  • 10
    • 0025946027 scopus 로고
    • A comparison of numerical methods for solving the advection equation- III
    • Chock D. P. A comparison of numerical methods for solving the advection equation- III. Atmospheric Environment. 25A:(5/6):1991;853-871.
    • (1991) Atmospheric Environment , vol.25 , Issue.5-6 , pp. 853-871
    • Chock, D.P.1
  • 12
    • 0020259662 scopus 로고
    • A theoretical framework for Petrov-Galerkin methods with discontinuous weighting functions: Application to the streamline-upwind procedure
    • ed. R. H. Gallagher, D. H. Norrie, J. T. Oden and Zienkiewicz, O. C., Wiley, Chichester, UK
    • Hughes, T. J. R. and Brooks, A., A theoretical framework for Petrov-Galerkin methods with discontinuous weighting functions: application to the streamline-upwind procedure. In Finite Elements in Fluids, Vol. 4, ed. R. H. Gallagher, D. H. Norrie, J. T. Oden and Zienkiewicz, O. C., Wiley, Chichester, UK, 1982, pp. 47-65.
    • (1982) In Finite Elements in Fluids , vol.4 , pp. 47-65
    • Hughes, T.J.R.1    Brooks, A.2
  • 13
    • 0026490577 scopus 로고
    • A perspective on the numerical solution of convection-dominated transport problems: A price to pay for the easy way out
    • Noorishad J., Tsang T. F., Perrochet P., Musy A. A perspective on the numerical solution of convection-dominated transport problems: a price to pay for the easy way out. Water Resources Research. 28:(2):1992;551-561.
    • (1992) Water Resources Research , vol.28 , Issue.2 , pp. 551-561
    • Noorishad, J.1    Tsang, T.F.2    Perrochet, P.3    Musy, A.4
  • 14
    • 0027790662 scopus 로고
    • A streamline-upwind-full-Galerkin method for space-time convection dominated transport problems
    • Perrochet P. A streamline-upwind-full-Galerkin method for space-time convection dominated transport problems. International Journal of Numerical Methods in Engineering. 36:1993;4165-4183.
    • (1993) International Journal of Numerical Methods in Engineering , vol.36 , pp. 4165-4183
    • Perrochet, P.1
  • 15
    • 0018435461 scopus 로고
    • Solution of transient transport equation using an upstream finite element scheme
    • Huyakorn P. S., Nilkuha K. Solution of transient transport equation using an upstream finite element scheme. Applied Mathematical Modelling. 3:1979;7-17.
    • (1979) Applied Mathematical Modelling , vol.3 , pp. 7-17
    • Huyakorn, P.S.1    Nilkuha, K.2
  • 16
    • 0020830974 scopus 로고
    • Accurate Petrov-Galerkin methods for transient convective diffusion problems
    • Dick E. Accurate Petrov-Galerkin methods for transient convective diffusion problems. International Journal of Numerical Methods in Engineering. 19:1983;1425-1433.
    • (1983) International Journal of Numerical Methods in Engineering , vol.19 , pp. 1425-1433
    • Dick, E.1
  • 17
    • 0022810950 scopus 로고
    • Petrov-Galerkin formulations with weighting functions dependent upon spatial and temporal discretization: Applications to transient convection-diffusion problems
    • Tezduyar T. E., Ganjoo D. K. Petrov-Galerkin formulations with weighting functions dependent upon spatial and temporal discretization: applications to transient convection-diffusion problems. Computational Methods in Applied Mechanical Engineering. 59:1986;49-71.
    • (1986) Computational Methods in Applied Mechanical Engineering , vol.59 , pp. 49-71
    • Tezduyar, T.E.1    Ganjoo, D.K.2
  • 18
    • 0025470618 scopus 로고
    • Non-diffusive N+2 degree Petrov-Galerkin methods for two-dimensional transient transport computations
    • Cantekin M. E., Westerink J. J. Non-diffusive N+2 degree Petrov-Galerkin methods for two-dimensional transient transport computations. International Journal of Numerical Methods in Engineering. 30:1990;397-418.
    • (1990) International Journal of Numerical Methods in Engineering , vol.30 , pp. 397-418
    • Cantekin, M.E.1    Westerink, J.J.2
  • 20
    • 0023450580 scopus 로고
    • Petrov-Galerkin method for multidimensional, time-dependent, convective-diffusion equations
    • Yu C-C., Heinrich J. C. Petrov-Galerkin method for multidimensional, time-dependent, convective-diffusion equations. International Journal of Numerical Methods in Engineering. 24:1987;2201-2215.
    • (1987) International Journal of Numerical Methods in Engineering , vol.24 , pp. 2201-2215
    • Yu, C-C.1    Heinrich, J.C.2
  • 21
    • 0029484390 scopus 로고
    • A Fourier analysis and dynamic optimisation of the Petrov-Galerkin finite element method
    • Carrano C. S., Yeh G. A Fourier analysis and dynamic optimisation of the Petrov-Galerkin finite element method. International Journal of Numerical Methods in Engineering. 38:1995;4123-4155.
    • (1995) International Journal of Numerical Methods in Engineering , vol.38 , pp. 4123-4155
    • Carrano, C.S.1    Yeh, G.2
  • 26
    • 0003908527 scopus 로고
    • Über die partiellen Differenzen-gleichungen der mathematischen Physik
    • Courant R., Friedrichs K. O., Lewy H. Über die partiellen Differenzen-gleichungen der mathematischen Physik. Mathenatics Annals. 100:1928;32.
    • (1928) Mathenatics Annals , vol.100 , pp. 32
    • Courant, R.1    Friedrichs, K.O.2    Lewy, H.3
  • 27
    • 0001998744 scopus 로고
    • An Eulerian-Lagrangian numerical scheme for the dispersion-convection equation using conjugate space-time grids
    • Neuman S. P. An Eulerian-Lagrangian numerical scheme for the dispersion-convection equation using conjugate space-time grids. Journal of Computational Physics. 41:1981;270-294.
    • (1981) Journal of Computational Physics , vol.41 , pp. 270-294
    • Neuman, S.P.1
  • 28
    • 0019651911 scopus 로고
    • Finite elements and characteristics applied to advection-diffusion equations
    • Hasbani Y., Livne E., Bercovier M. Finite elements and characteristics applied to advection-diffusion equations. Computers and Fluids. 11:(2):1983;71-83.
    • (1983) Computers and Fluids , vol.11 , Issue.2 , pp. 71-83
    • Hasbani, Y.1    Livne, E.2    Bercovier, M.3
  • 29
    • 0025432553 scopus 로고
    • Least-squares characteristics and finite elements for advection-dispersion simulation
    • Li C. W. Least-squares characteristics and finite elements for advection-dispersion simulation. International Journal of Numerical Methods in Engineering. 29:1990;1343-1358.
    • (1990) International Journal of Numerical Methods in Engineering , vol.29 , pp. 1343-1358
    • Li, C.W.1
  • 31
    • 0041299875 scopus 로고
    • Stability and convergence of the Lagrange-Galerkin method with non-exact integration
    • Academic Press, London
    • Süli, E., Stability and convergence of the Lagrange-Galerkin method with non-exact integration, The Mathematics of Finite Elements and Applications VI, Academic Press, London, 1988, 435-442.
    • (1988) The Mathematics of Finite Elements and Applications , vol.6 , pp. 435-442
    • Süli, E.1
  • 33
    • 0020738323 scopus 로고
    • Finite elements and characteristics for some parabolic-hyperbolic problems
    • Bercovier M., Pirroneau O., Sastri V. Finite elements and characteristics for some parabolic-hyperbolic problems. Applied Mathematical Modelling. 7:1983;89-96.
    • (1983) Applied Mathematical Modelling , vol.7 , pp. 89-96
    • Bercovier, M.1    Pirroneau, O.2    Sastri, V.3
  • 37
    • 0021217942 scopus 로고
    • Eulerian-Lagrangian solution of convection-dispersion equation in natural coordinates
    • Cheng R. T., Casulli V., Milford S. N. Eulerian-Lagrangian solution of convection-dispersion equation in natural coordinates. Water Resources Research. 20:(7):1984;944-952.
    • (1984) Water Resources Research , vol.20 , Issue.7 , pp. 944-952
    • Cheng, R.T.1    Casulli, V.2    Milford, S.N.3
  • 38
    • 0026114646 scopus 로고
    • Cubic-spline interpolation in Lagrangian advection computation
    • Schohl G. A., Holly F. M. Cubic-spline interpolation in Lagrangian advection computation. Journal of Hydraulic Engineering, ASCE. 117:(2):1991;248-253.
    • (1991) Journal of Hydraulic Engineering, ASCE , vol.117 , Issue.2 , pp. 248-253
    • Schohl, G.A.1    Holly, F.M.2
  • 40
    • 0024656262 scopus 로고
    • An operator-splitting algorithm for two-dimensional convection-dispersion-reaction problems
    • Ding D., Liu P. L-F. An operator-splitting algorithm for two-dimensional convection-dispersion-reaction problems. International Journal of Numerical Methods in Engineering. 28:1989;1023-1040.
    • (1989) International Journal of Numerical Methods in Engineering , vol.28 , pp. 1023-1040
    • Ding, D.1    Liu P., L-F.2
  • 41
    • 0026789037 scopus 로고
    • Implementation of the Lagrange-Galerkin method for the incompressible Navier-Stokes equations
    • Buscaglia G. C., Dari E. A. Implementation of the Lagrange-Galerkin method for the incompressible Navier-Stokes equations. International. Journal of Numerical Methods and Fluids. 15:1992;23-36.
    • (1992) International. Journal of Numerical Methods and Fluids , vol.15 , pp. 23-36
    • Buscaglia, G.C.1    Dari, E.A.2
  • 42
    • 0027062405 scopus 로고
    • An exact peak capturing and oscillation-free scheme to solve advection-dispersion transport equation
    • Yeh G. T., Chang J. R., Short T. E. An exact peak capturing and oscillation-free scheme to solve advection-dispersion transport equation. Water Resources Research. 28:1992;2937-2951.
    • (1992) Water Resources Research , vol.28 , pp. 2937-2951
    • Yeh, G.T.1    Chang, J.R.2    Short, T.E.3
  • 43
    • 0025639748 scopus 로고
    • An Eulerian-Lagrangian localized adjoint method for the advection-diffusion equation
    • Celia M., Russell T. F., Herrera I., Ewing R. E. An Eulerian-Lagrangian localized adjoint method for the advection-diffusion equation. Advanced Water Resources. 13:(4):1990;187-206.
    • (1990) Advanced Water Resources , vol.13 , Issue.4 , pp. 187-206
    • Celia, M.1    Russell, T.F.2    Herrera, I.3    Ewing, R.E.4
  • 44
    • 0019917023 scopus 로고
    • Utilization of the method of characteristics to solve accurately two-dimensional transport problems by finite elements
    • Varoglu E., Finn D. L. Utilization of the method of characteristics to solve accurately two-dimensional transport problems by finite elements. International Journal of Numerical Methods and Fluids. 2:1982;173-184.
    • (1982) International Journal of Numerical Methods and Fluids , vol.2 , pp. 173-184
    • Varoglu, E.1    Finn, D.L.2
  • 45
    • 0002503957 scopus 로고
    • A new finite element method for Navier-Stokes equations coupled with a temperature equation
    • Kawai T, ed. North-Holland, Amsterdam
    • Benqué, J. P., Labadie, G. and Ronat, J. A new finite element method for Navier-Stokes equations coupled with a temperature equation. Finite Element Methods in Flow Problems. Kawai T, ed. North-Holland, Amsterdam. 1982, pp. 295-301.
    • (1982) Finite Element Methods in Flow Problems , pp. 295-301
    • Benqué, J.P.1    Labadie, G.2    Ronat, J.3
  • 46
    • 0022943889 scopus 로고
    • Application of the method of characteristics in their weak formulation to solving two-dimensional advection equations on mesh grids
    • ed. C. Taylor, J. A. Johnson and W. R. Smith. Pineridge Press, Swansea
    • Hervouet, J. M., Application of the method of characteristics in their weak formulation to solving two-dimensional advection equations on mesh grids. In Computational Techniques for Fluid Flow, Vol. 5. Recent Advances in Numerical Methods in Fluids, ed. C. Taylor, J. A. Johnson and W. R. Smith. Pineridge Press, Swansea, 1986, pp. 149-185.
    • (1986) In Computational Techniques for Fluid Flow, Vol. 5. Recent Advances in Numerical Methods in Fluids , pp. 149-185
    • Hervouet, J.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.