메뉴 건너뛰기




Volumn 23, Issue 9, 1999, Pages 667-685

Analytical solution of a spatially variable coefficient advection-diffusion equation in up to three dimensions

Author keywords

Advection diffusion equation; Analytical solutions; Two , three dimensional problems; Variable coefficients

Indexed keywords

ADVECTION DIFFUSION EQUATION; VARIABLE COEFFICIENTS;

EID: 0032633849     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0307-904X(99)00005-0     Document Type: Article
Times cited : (98)

References (23)
  • 3
    • 0027040677 scopus 로고
    • A space-time accurate method for solving solute transport problems
    • Li S.G., Ruan F., McLaughlin D. A space-time accurate method for solving solute transport problems. Water Resources Research. 28:1992;2297-2306.
    • (1992) Water Resources Research , vol.28 , pp. 2297-2306
    • Li, S.G.1    Ruan, F.2    McLaughlin, D.3
  • 6
    • 84945076425 scopus 로고
    • Simultaneous solute and water transfer for an unsaturated soil
    • Warrick A.W., Biggar J.W., Nielsen D.R. Simultaneous solute and water transfer for an unsaturated soil. Water Resources Research. 7:1971;1216-1225.
    • (1971) Water Resources Research , vol.7 , pp. 1216-1225
    • Warrick, A.W.1    Biggar, J.W.2    Nielsen, D.R.3
  • 7
    • 0024799483 scopus 로고
    • Analytical solution of a convection-dispersion model with time-dependent transport coefficients
    • Barry D.A., Sposito G. Analytical solution of a convection-dispersion model with time-dependent transport coefficients. Water Resources Research. 25:1989;2407-2416.
    • (1989) Water Resources Research , vol.25 , pp. 2407-2416
    • Barry, D.A.1    Sposito, G.2
  • 8
    • 0027842158 scopus 로고
    • Analytical solution of the one-dimensional time-dependent transport equation
    • Basha H.A., El-Habel F.S. Analytical solution of the one-dimensional time-dependent transport equation. Water Resources Research. 29:1993;3209-3214.
    • (1993) Water Resources Research , vol.29 , pp. 3209-3214
    • Basha, H.A.1    El-Habel, F.S.2
  • 9
    • 0027040922 scopus 로고
    • An analytical solution for one-dimensional transport in porous media with an exponential dispersion function
    • Yates S.R. An analytical solution for one-dimensional transport in porous media with an exponential dispersion function. Water Resources Research. 28:1992;2149-2154.
    • (1992) Water Resources Research , vol.28 , pp. 2149-2154
    • Yates, S.R.1
  • 10
    • 0028666598 scopus 로고
    • Some exact solutions of convection-diffusion and diffusion equations
    • Philip J.R. Some exact solutions of convection-diffusion and diffusion equations. Water Resources Research. 30:1994;3545-3551.
    • (1994) Water Resources Research , vol.30 , pp. 3545-3551
    • Philip, J.R.1
  • 11
  • 13
    • 0040601858 scopus 로고
    • Comment on a space-time accurate method for solving solute transport problems by S.G. Li, F. Ruan and D. McLaughlin
    • Zoppou C., Knight J.H. Comment on a space-time accurate method for solving solute transport problems by S.G. Li, F. Ruan and D. McLaughlin. Water Resources Research. 30:1994;3233-3235.
    • (1994) Water Resources Research , vol.30 , pp. 3233-3235
    • Zoppou, C.1    Knight, J.H.2
  • 14
    • 0031074442 scopus 로고    scopus 로고
    • Analytical solutions for advection and advection-diffusion equations with spatially variable coefficients. Journal of Hydraulic Engineering
    • Zoppou C., Knight J.H. Analytical solutions for advection and advection-diffusion equations with spatially variable coefficients. Journal of Hydraulic Engineering. American Society of Civil Engineers. 123:1997;144-148.
    • (1997) American Society of Civil Engineers , vol.123 , pp. 144-148
    • Zoppou, C.1    Knight, J.H.2
  • 16
    • 0003381083 scopus 로고
    • Dispersion of solute matter in solvent flowing through a tube
    • London, Series A
    • G.I. Taylor, Dispersion of solute matter in solvent flowing through a tube, Proceedings of the Royal Society, London, Series A, 219 (1953) 186-203.
    • (1953) Proceedings of the Royal Society , vol.219 , pp. 186-203
    • Taylor, G.I.1
  • 17
    • 0001014422 scopus 로고
    • Instability of a viscous liquid of variable density in a hele-shaw cell
    • Wooding R.A. Instability of a viscous liquid of variable density in a hele-shaw cell. Journal of Fluid Mechanics. 7:1960;501-515.
    • (1960) Journal of Fluid Mechanics , vol.7 , pp. 501-515
    • Wooding, R.A.1
  • 18
    • 0015433219 scopus 로고
    • Solutions for miscible displacement of soil water with time-dependent velocity and dispersion coefficients
    • Warrick A.W., Kichen J.H., Thames J.L. Solutions for miscible displacement of soil water with time-dependent velocity and dispersion coefficients. Proceedings Soil Science Society of America. 36:1972;863-867.
    • (1972) Proceedings Soil Science Society of America , vol.36 , pp. 863-867
    • Warrick, A.W.1    Kichen, J.H.2    Thames, J.L.3
  • 19
    • 0018983656 scopus 로고
    • An analysis of hydrodispersive transfer in aquifers
    • Sauty J.P. An analysis of hydrodispersive transfer in aquifers. Water Resources Research. 16:1980;145-158.
    • (1980) Water Resources Research , vol.16 , pp. 145-158
    • Sauty, J.P.1
  • 20
    • 0019727490 scopus 로고
    • Scale-Dependent dispersion in a stratified granular aquifer
    • Pickens J.F., Grisak G.K. Scale-Dependent dispersion in a stratified granular aquifer. Water Resources Research. 17:1986;1191-1211.
    • (1986) Water Resources Research , vol.17 , pp. 1191-1211
    • Pickens, J.F.1    Grisak, G.K.2
  • 21
    • 0022923519 scopus 로고
    • Fundamental problems in the stochastic convection-dispersion model of solute transport in aquifer and field soils
    • Sposito G.W., Jury W.A., Gupta V.K. Fundamental problems in the stochastic convection-dispersion model of solute transport in aquifer and field soils. Water Resources Research. 22:1986;77-88.
    • (1986) Water Resources Research , vol.22 , pp. 77-88
    • Sposito, G.W.1    Jury, W.A.2    Gupta, V.K.3
  • 23
    • 0040008551 scopus 로고
    • A closed form green function describing diffusion in a strained flow field, Society for Industrial and Applied Mathematics
    • Maas L.R.M. A closed form green function describing diffusion in a strained flow field, Society for Industrial and Applied Mathematics. Journal for Applied Mathematics. 49:1989;1359-1373.
    • (1989) Journal for Applied Mathematics , vol.49 , pp. 1359-1373
    • Maas, L.R.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.