In: Journal of Hydrology and Hydromechanics, vol. 65, no. 4
Alexandar Djordjevich - Svetislav Savović - Aco Janićijević
Detaily:
Rok, strany: 2017, 426 - 432
Kľúčové slová:
Two dimensional advection-diffusion equation; Mass transfer; Finite difference method.
URL originálneho zdroja: http://www.ih.sav.sk/jhh
O článku:
The two-dimensional advection-diffusion equation with variable coefficients is solved by the explicit finitedifference
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 firstorder
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.
Ako citovať:
ISO 690:
Djordjevich, 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, vol. 65, no.4, pp. 426-432. 0042-790X (until 2019) .
APA:
Djordjevich, A., Savović, S., Janićijević, A. (2017). Explicit finite-difference solution of two-dimensional solute transport with
periodic flow in homogenous porous media. Journal of Hydrology and Hydromechanics, 65(4), 426-432. 0042-790X (until 2019) .