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International Journal of Differential Equations
Volume 2018, Article ID 1343541, 12 pages
https://doi.org/10.1155/2018/1343541
Research Article

Numerical Simulations of Water Quality Measurement Model in an Opened-Closed Reservoir with Contaminant Removal Mechanism

1Department of Mathematics, Faculty of Science, King Mongkut’s Institute of Technology Ladkrabang, Bangkok 10520, Thailand
2Centre of Excellence in Mathematics Commission on Higher Education (CHE), Si Ayutthaya Road, Bangkok 10400, Thailand

Correspondence should be addressed to Kaboon Thongtha; moc.liamg@t.noobak

Received 2 January 2018; Revised 7 March 2018; Accepted 13 March 2018; Published 2 May 2018

Academic Editor: Julian Poulter

Copyright © 2018 Kaboon Thongtha and Jaipong Kasemsuwan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. P. Tabuenca, J. Vila, J. Cardona, and A. Samartin, “Finite element simulation of dispersion in the Bay of Santander,” Advances in Engineering Software, vol. 28, no. 5, pp. 313–332, 1997. View at Publisher · View at Google Scholar · View at Scopus
  2. P. Tabuenca, J. Cardona, and A. Samartín, “Numerical model for the study of hydrodynamics on bays and estuaries,” Applied Mathematical Modelling, vol. 16, no. 2, pp. 78–85, 1992. View at Publisher · View at Google Scholar · View at Scopus
  3. N. Pochai, S. Tangmanee, L. J. Crane, and J. J. H. Miller, “A mathematical model of water pollution control using the finite element method,” Proceedings in Applied Mathematics and Mechanics, vol. 6, no. 1, pp. 755-756, 2006. View at Publisher · View at Google Scholar
  4. N. Pochai, S. Tangmanee, L. J. Crane, and J. J. H. Miller, “A water quality computation in the uniform reservoir,” Journal of Interdisciplinary Mathematics, vol. 12, no. 1, pp. 19–28, 2009. View at Publisher · View at Google Scholar · View at Scopus
  5. A. Garzon and L. D'ALpaos, “Modified method of characteristics technique combined with Galerkin finite element method to solve shallow water mass transport problems,” in Proceedings of the 23rd International Conference on Coastal Engineering, pp. 3068–3080, October 1992. View at Scopus
  6. N. Pochai, “A numerical computation of a non-dimensional form of stream water quality model with hydrodynamic advection-dispersion-reaction equations,” Nonlinear Analysis: Hybrid Systems, vol. 3, no. 4, pp. 666–673, 2009. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  7. N. Pochai, “A numerical treatment of nondimensional form of water quality model in a nonuniform flow stream using Saulyev scheme,” Mathematical Problems in Engineering, Article ID 491317, 2011. View at Publisher · View at Google Scholar · View at MathSciNet
  8. N. Pochai, “Unconditional stable numerical techniques for a water-quality model in a non-uniform flow stream,” Advances in Difference Equations, Paper No. 286, 13 pages, 2017. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  9. N. Pochai, “A Computation of a Non-linear Hydrodynamic Model in a Uniform Reservoir,” in 5th Asian Mathematical Conference Proceedings, vol. II, pp. 596–600, June 2009.
  10. N. Pochai and C. Sornsri, “A non-dimensional form of hydrodynamic model with variable coefficients in a uniform reservoir using Lax-Wendroff method,” in Proceedings of the 2nd International Science, Social Science, Engineering and Energy Conference 2010, I-SEEC 2010, pp. 89–93, Thailand, December 2010. View at Publisher · View at Google Scholar · View at Scopus
  11. N. Pochai, S. Tangmanee, L. J. Crane, and J. J. H. Miller, “A water quality computation in the uniform channel,” Journal of Interdisciplinary Mathematics, vol. 11, no. 6, pp. 803–814, 2008. View at Publisher · View at Google Scholar · View at Scopus
  12. W. Klaychang and N. Pochai, “A numerical treatment of a non-dimensional form of a water quality model in the Rama-nine reservoir,” Journal of Interdisciplinary Mathematics, vol. 18, no. 4, pp. 375–394, 2015. View at Publisher · View at Google Scholar · View at Scopus
  13. C. R. Robinson, Shallow Water Equations Lecture Notes, PHY 307, Syracuse University, 2011.
  14. K. Thongtha and J. Kasemsuwan, “Analytical solution to a hydrodynamic model in an open uniform reservoir,” Advances in Difference Equations, Paper No. 149, 9 pages, 2017. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  15. H. Ninomiya and K. Onishi, “Flow Analysis Using a Personal Computer,” Computational Mechanics Publications, 1991. View at Google Scholar
  16. C. B. Vreugdenhil, “Three-dimensional shallow-water flow,” in Numerical Methods for Shallow-Water Flow, vol. 13 of Water Science and Technology Library, pp. 217–246, Springer Netherlands, Dordrecht, 1994. View at Publisher · View at Google Scholar