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Presented herein is a solution for one-dimensional dispersion of conservative and nonconservative pollutants in an open channel with steady unpolluted lateral inflow uniformly distributed over the whole length of the channel. To account for the lateral inflow into the channel the velocity of flow is taken proportional to distance and dispersion coefficient proportional to square of velocity. Through transformation the governing equation is changed into constant coefficient equation. The cubic spline interpolation is employed for solution of advection equation and Crank Nicholson finite difference scheme for diffusion equation. The computed results are compared with analytical solution for continuous plane injection of the pollutant at the upstream boundary of the model.
Presented herein is a solution for one-dimensional dispersion of conservative and nonconservative pollutants in an open channel with steady unpolluted lateral inflow uniformly distributed over the whole length of the channel. To account for the lateral inflow into the channel the velocity of flow is taken proportional to distance and dispersion coefficient proportional to square of velocity. Through transformation the governing equation is changed into constant coefficient equation. The cubic spline interpolation is employed for solution of advection equation and Crank Nicholson finite difference scheme for diffusion equation. The computed results are compared with analytical solution for continuous plane injection of the pollutant at the upstream boundary of the model.
NUMERICAL SOLUTION FOR ADVECTION-DIFFUSION EQUATION WITH SPATIALLY VARIABLE COEFFICIENTS
Ahmad, Z. (author)
ISH Journal of Hydraulic Engineering ; 6 ; 46-54
2000-01-01
9 pages
Article (Journal)
Electronic Resource
Unknown
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