TY - JOUR
T1 - EXPLICIT FINITE DIFFERENCE SOLUTION FOR CONTAMINANT TRANSPORT PROBLEMS WITH CONSTANT AND OSCILLATING BOUNDARY CONDITIONS
AU - SAVOVIC, Svetislav M.
AU - DJORDJEVICH, Alexandar
N1 - Full text of this publication does not contain sufficient affiliation information. With consent from the author(s) concerned, the Research Unit(s) information for this record is based on the existing academic department affiliation of the author(s).
PY - 2020
Y1 - 2020
N2 - For constant and oscillating boundary conditions, the 1-D advection-diffusion equation with constant coefficients, which describes a contaminant flow, is solved by the explicit finite difference method in a semi-infinite medium. It is shown how far the periodicity of the oscillating boundary carries on until diminishing to below appreciable levels a specified distance away, which depends on the oscillation characteristics of the source. Results are tested against an analytical solution reported for a special case. The explicit finite difference method is shown to be effective for solving the advection-diffusion equation with constant coefficients in semi-infinite media with constant and oscillating boundary conditions.
AB - For constant and oscillating boundary conditions, the 1-D advection-diffusion equation with constant coefficients, which describes a contaminant flow, is solved by the explicit finite difference method in a semi-infinite medium. It is shown how far the periodicity of the oscillating boundary carries on until diminishing to below appreciable levels a specified distance away, which depends on the oscillation characteristics of the source. Results are tested against an analytical solution reported for a special case. The explicit finite difference method is shown to be effective for solving the advection-diffusion equation with constant coefficients in semi-infinite media with constant and oscillating boundary conditions.
KW - advection-diffusion equation
KW - contaminant flow
KW - finite difference method
KW - oscillating boundary conditions
KW - ADVECTION-DIFFUSION EQUATION
KW - STEFAN PROBLEM
KW - FLOW
KW - MEDIA
KW - advection-diffusion equation
KW - contaminant flow
KW - finite difference method
KW - oscillating boundary conditions
KW - ADVECTION-DIFFUSION EQUATION
KW - STEFAN PROBLEM
KW - FLOW
KW - MEDIA
KW - advection-diffusion equation
KW - contaminant flow
KW - finite difference method
KW - oscillating boundary conditions
KW - ADVECTION-DIFFUSION EQUATION
KW - STEFAN PROBLEM
KW - FLOW
KW - MEDIA
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U2 - 10.2298/TSCI190722422S
DO - 10.2298/TSCI190722422S
M3 - RGC 21 - Publication in refereed journal
SN - 0354-9836
VL - 24
SP - 2225
EP - 2231
JO - Thermal Science
JF - Thermal Science
IS - 3B
ER -