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A saulyev explicit scheme for an one-dimensional advection-diffusion-reaction equation in an opened uniform flow stream
Author(s)
Samalerk, Pawarisa
Date Issued
June 1, 2020
Type
Article
Abstract
The one-dimensional advection-diffusion-reaction equation is a mathematical model describing the transport and diffusion problems such as pollutants and suspended matter in a river or channel. If the velocity field is non-uniform the model cannot be theoretically manipulated, there for numerical techniques are required. The object of this research is to propose a simple advection-diffusion-reaction numerical simulation by using the Saulyev schemes. The proposed numerical technique uses an unconditionally stable method. It is the large or small of time step and/or grid size can be employed in the techniques. Among examples are calculated for three θ values. The case of θ = 0 gives a smooth solution compare to the another values. Increasing the mass decay rate affects the maximum concentration level. The numerical experiments show that the calculated results are reasonable approximations.
Citation
Thai Journal of Mathematics, 18(2), 677-683, 2020