Shallow Water 1D Model for Pollution River Study

Antoine Celestin Kengni Jotsa; Vincenzo Angelo Pennati; Antonio Di Guardo; Melissa Morselli

doi:doi:10.11648/j.pamj.20170602.13

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Shallow Water 1D Model for Pollution River Study

Antoine Celestin Kengni Jotsa, Vincenzo Angelo Pennati, Antonio Di Guardo, Melissa Morselli

Published in Pure and Applied Mathematics Journal (Volume 6, Issue 2)

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), 2024. Published by Science Publishing Group

Keywords

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

References

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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

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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Plain Text BibTeX RIS

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

Copy | Download

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

Copy | Download

@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}
}

Copy | Download

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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