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Shallow Water 1D Model for Pollution River Study
Pure and Applied Mathematics Journal
Volume 6, Issue 2, April 2017, Pages: 76-88
Received: Feb. 25, 2017; Accepted: Mar. 23, 2017; Published: Apr. 15, 2017
Authors
Antoine Celestin Kengni Jotsa, Department of Fundamental Sciences, Laws and Humanities, Institute of Mines and Petroleum Industries, University of Maroua at Kaéle, Maroua, Cameroon
Vincenzo Angelo Pennati, Science and High Tecnology Department, Università Degli Studi Dell'Insubria, Via Valleggio, Como, Italy
Antonio Di Guardo, Science and High Tecnology Department, Università Degli Studi Dell'Insubria, Via Valleggio, Como, Italy
Melissa Morselli, Science and High Tecnology Department, Università Degli Studi Dell'Insubria, Via Valleggio, Como, Italy
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Abstract
In this paper a finite element 1D model for shallow water flows with distribution of chemical substances is presented. The deterministic model, based on unsteady flow and convection-diffusion-decay of the pollutants, allows for evaluating in any point of the space-time domain the concentration values of the chemical compounds. The numerical approach followed is computationally cost-effectiveness respect both the stability and the accuracy, and by means of it is possible to foresee the evolution of the concentrations.
Keywords
Partial Differential Equation, Finite Elements, Shallow Water Flow, River Pollution
Antoine Celestin Kengni Jotsa, Vincenzo Angelo Pennati, Antonio Di Guardo, Melissa Morselli, Shallow Water 1D Model for Pollution River Study, Pure and Applied Mathematics Journal. Vol. 6, No. 2, 2017, pp. 76-88. doi: 10.11648/j.pamj.20170602.13
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