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Shallow Water 1D Model for Pollution River Study

Received: 25 February 2017     Accepted: 23 March 2017     Published: 15 April 2017
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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.

Published in Pure and Applied Mathematics Journal (Volume 6, Issue 2)
DOI 10.11648/j.pamj.20170602.13
Page(s) 76-88
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2017. Published by Science Publishing Group

Keywords

Partial Differential Equation, Finite Elements, Shallow Water Flow, River Pollution

References
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Cite This Article
  • APA Style

    Antoine Celestin Kengni Jotsa, Vincenzo Angelo Pennati, Antonio Di Guardo, Melissa Morselli. (2017). Shallow Water 1D Model for Pollution River Study. Pure and Applied Mathematics Journal, 6(2), 76-88. https://doi.org/10.11648/j.pamj.20170602.13

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    ACS Style

    Antoine Celestin Kengni Jotsa; Vincenzo Angelo Pennati; Antonio Di Guardo; Melissa Morselli. Shallow Water 1D Model for Pollution River Study. Pure Appl. Math. J. 2017, 6(2), 76-88. doi: 10.11648/j.pamj.20170602.13

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    AMA Style

    Antoine Celestin Kengni Jotsa, Vincenzo Angelo Pennati, Antonio Di Guardo, Melissa Morselli. Shallow Water 1D Model for Pollution River Study. Pure Appl Math J. 2017;6(2):76-88. doi: 10.11648/j.pamj.20170602.13

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  • @article{10.11648/j.pamj.20170602.13,
      author = {Antoine Celestin Kengni Jotsa and Vincenzo Angelo Pennati and Antonio Di Guardo and Melissa Morselli},
      title = {Shallow Water 1D Model for Pollution River Study},
      journal = {Pure and Applied Mathematics Journal},
      volume = {6},
      number = {2},
      pages = {76-88},
      doi = {10.11648/j.pamj.20170602.13},
      url = {https://doi.org/10.11648/j.pamj.20170602.13},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.pamj.20170602.13},
      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.},
     year = {2017}
    }
    

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  • TY  - JOUR
    T1  - Shallow Water 1D Model for Pollution River Study
    AU  - Antoine Celestin Kengni Jotsa
    AU  - Vincenzo Angelo Pennati
    AU  - Antonio Di Guardo
    AU  - Melissa Morselli
    Y1  - 2017/04/15
    PY  - 2017
    N1  - https://doi.org/10.11648/j.pamj.20170602.13
    DO  - 10.11648/j.pamj.20170602.13
    T2  - Pure and Applied Mathematics Journal
    JF  - Pure and Applied Mathematics Journal
    JO  - Pure and Applied Mathematics Journal
    SP  - 76
    EP  - 88
    PB  - Science Publishing Group
    SN  - 2326-9812
    UR  - https://doi.org/10.11648/j.pamj.20170602.13
    AB  - 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.
    VL  - 6
    IS  - 2
    ER  - 

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Author Information
  • Department of Fundamental Sciences, Laws and Humanities, Institute of Mines and Petroleum Industries, University of Maroua at Kaéle, Maroua, Cameroon

  • Science and High Tecnology Department, Università Degli Studi Dell'Insubria, Via Valleggio, Como, Italy

  • Science and High Tecnology Department, Università Degli Studi Dell'Insubria, Via Valleggio, Como, Italy

  • Science and High Tecnology Department, Università Degli Studi Dell'Insubria, Via Valleggio, Como, Italy

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