The numerical–asymptotic solution of spatial model of the aerobic water treatment
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Author(s)
Abstract
In this paper, the mathematical model of biological water treatment by spatial filter was designed. The algorithm of numerical-asymptotic approximation of the solution of the corresponding model problem was developed. It describes a system of nonlinear singularly perturbed differential equations, such as "convection-diffusion mass transfer" for area, bounded by the four surfaces of the current and two equipotential surfaces. On this basis, a computer experiment of optimization parameters of the purification process was conducted. It includes the loading time of protective action, the size of the filter etc., the results of which confirmed a known fact that the performance of the filter greatly depends on the choice of its shape.
Keywords
spatial modeling task, biological filter, asymptotic-numerical solution, singularly perturbed problem
Cite this paper
Andrii Safonyk,
The numerical–asymptotic solution of spatial model of the aerobic water treatment
, SCIREA Journal of Mathematics.
Volume 1, Issue 2, December 2016 | PP. 197-209.
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