Explicit finite-difference solution of two-dimensional solute transport with periodic flow in homogenous porous media
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The two-dimensional advection-diffusion equation with variable coefficients is solved by the explicit finite-difference method for the transport of solutes through a homogenous two-dimensional domain that is finite and porous. Retardation by adsorption, periodic seepage velocity, and a dispersion coefficient proportional to this velocity are permitted. The transport is from a pulse-type point source (that ceases after a period of activity). Included are the first-order decay and zero-order production parameters proportional to the seepage velocity, and periodic boundary conditions at the origin and at the end of the domain. Results agree well with analytical solutions that were reported in the literature for special cases. It is shown that the solute concentration profile is influenced strongly by periodic velocity fluctuations. Solutions for a variety of combinations of unsteadiness of the coefficients in the advection-diffusion equation are obtainable as particular cases of the one d...emonstrated here. This further attests to the effectiveness of the explicit finite difference method for solving two-dimensional advection-diffusion equation with variable coefficients in finite media, which is especially important when arbitrary initial and boundary conditions are required.
Keywords:
Two dimensional advection-diffusion equation / Mass transfer / Finite difference methodSource:
Journal of Hydrology and Hydromechanics, 2017, 65, 4, 426-432Publisher:
- Veda, Slovak Acad Sciences, Bratislava
Funding / projects:
- City University of Hong KongCity University of Hong Kong [CityU 7004600]
- Photonics components and systems (RS-MESTD-Basic Research (BR or ON)-171011)
DOI: 10.1515/johh-2017-0040
ISSN: 0042-790X
WoS: 000415089300012
Scopus: 2-s2.0-85035316807
Institution/Community
Tehnološko-metalurški fakultetTY - JOUR AU - Đorđević, Alexandar AU - Savović, Svetislav AU - Janićijević, Aco PY - 2017 UR - http://TechnoRep.tmf.bg.ac.rs/handle/123456789/3615 AB - The two-dimensional advection-diffusion equation with variable coefficients is solved by the explicit finite-difference method for the transport of solutes through a homogenous two-dimensional domain that is finite and porous. Retardation by adsorption, periodic seepage velocity, and a dispersion coefficient proportional to this velocity are permitted. The transport is from a pulse-type point source (that ceases after a period of activity). Included are the first-order decay and zero-order production parameters proportional to the seepage velocity, and periodic boundary conditions at the origin and at the end of the domain. Results agree well with analytical solutions that were reported in the literature for special cases. It is shown that the solute concentration profile is influenced strongly by periodic velocity fluctuations. Solutions for a variety of combinations of unsteadiness of the coefficients in the advection-diffusion equation are obtainable as particular cases of the one demonstrated here. This further attests to the effectiveness of the explicit finite difference method for solving two-dimensional advection-diffusion equation with variable coefficients in finite media, which is especially important when arbitrary initial and boundary conditions are required. PB - Veda, Slovak Acad Sciences, Bratislava T2 - Journal of Hydrology and Hydromechanics T1 - Explicit finite-difference solution of two-dimensional solute transport with periodic flow in homogenous porous media EP - 432 IS - 4 SP - 426 VL - 65 DO - 10.1515/johh-2017-0040 ER -
@article{ author = "Đorđević, Alexandar and Savović, Svetislav and Janićijević, Aco", year = "2017", abstract = "The two-dimensional advection-diffusion equation with variable coefficients is solved by the explicit finite-difference method for the transport of solutes through a homogenous two-dimensional domain that is finite and porous. Retardation by adsorption, periodic seepage velocity, and a dispersion coefficient proportional to this velocity are permitted. The transport is from a pulse-type point source (that ceases after a period of activity). Included are the first-order decay and zero-order production parameters proportional to the seepage velocity, and periodic boundary conditions at the origin and at the end of the domain. Results agree well with analytical solutions that were reported in the literature for special cases. It is shown that the solute concentration profile is influenced strongly by periodic velocity fluctuations. Solutions for a variety of combinations of unsteadiness of the coefficients in the advection-diffusion equation are obtainable as particular cases of the one demonstrated here. This further attests to the effectiveness of the explicit finite difference method for solving two-dimensional advection-diffusion equation with variable coefficients in finite media, which is especially important when arbitrary initial and boundary conditions are required.", publisher = "Veda, Slovak Acad Sciences, Bratislava", journal = "Journal of Hydrology and Hydromechanics", title = "Explicit finite-difference solution of two-dimensional solute transport with periodic flow in homogenous porous media", pages = "432-426", number = "4", volume = "65", doi = "10.1515/johh-2017-0040" }
Đorđević, A., Savović, S.,& Janićijević, A.. (2017). Explicit finite-difference solution of two-dimensional solute transport with periodic flow in homogenous porous media. in Journal of Hydrology and Hydromechanics Veda, Slovak Acad Sciences, Bratislava., 65(4), 426-432. https://doi.org/10.1515/johh-2017-0040
Đorđević A, Savović S, Janićijević A. Explicit finite-difference solution of two-dimensional solute transport with periodic flow in homogenous porous media. in Journal of Hydrology and Hydromechanics. 2017;65(4):426-432. doi:10.1515/johh-2017-0040 .
Đorđević, Alexandar, Savović, Svetislav, Janićijević, Aco, "Explicit finite-difference solution of two-dimensional solute transport with periodic flow in homogenous porous media" in Journal of Hydrology and Hydromechanics, 65, no. 4 (2017):426-432, https://doi.org/10.1515/johh-2017-0040 . .