IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v415y2022ics0096300321007748.html
   My bibliography  Save this article

Modeling and numerical simulation of dissolved oxygen and biochemical oxygen demand concentrations with Holling type III kinetic relationships

Author

Listed:
  • Guaca, Denis Cajas
  • Poletti, Elaine Cristina Catapani

Abstract

Mathematical models have been widely used for the study of water quality. Regarding the pollution of water resources by organic matter, dissolved oxygen (DO) and biochemical oxygen demand (BOD) are important indicators for their monitoring. In this way, this research presents a two-dimensional mathematical model in space that evolves over time, for the study of the variations in concentrations of these variables, through a coupled system of non-linear partial differential equations, with Holling type III reaction kinetics between DO and BOD. Under some simplifications, the stability of the equilibrium points of the model is analyzed. An approximate solution is proposed using the centered finite difference (CFD) method for spatial variables and the Crank–Nicolson method for the temporal variable. An upwind scheme was employed in the advective-term discretization. Computer simulations were performed using Matlab software, in a rectangular domain. For the advective transport, the influences of the wind and the current given by a parabolic profile were considered. We performed a series of space-time numerical simulations and found that the model allows the analysis of regions with higher and/or lower DO and BOD concentrations, as well as the temporal variations of concentrations at specific points in the domain, and the influence of diffusive-advective transport in the mass transfer process.

Suggested Citation

  • Guaca, Denis Cajas & Poletti, Elaine Cristina Catapani, 2022. "Modeling and numerical simulation of dissolved oxygen and biochemical oxygen demand concentrations with Holling type III kinetic relationships," Applied Mathematics and Computation, Elsevier, vol. 415(C).
    • Handle: RePEc:eee:apmaco:v:415:y:2022:i:c:s0096300321007748
    DOI: 10.1016/j.amc.2021.126690
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300321007748
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2021.126690?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Sengupta, Tapan K. & Sengupta, Aditi & Saurabh, Kumar, 2017. "Global spectral analysis of multi-level time integration schemes: Numerical properties for error analysis," Applied Mathematics and Computation, Elsevier, vol. 304(C), pages 41-57.
    2. Maleewong, Montri & Hasadsri, Sion, 2013. "Analytical and numerical results of dissolved oxygen and biochemical oxygen demand in non-uniform open channel," Ecological Modelling, Elsevier, vol. 252(C), pages 11-22.
    3. Philku Lee & George V. Popescu & Seongjai Kim, 2020. "A Nonoscillatory Second-Order Time-Stepping Procedure for Reaction-Diffusion Equations," Complexity, Hindawi, vol. 2020, pages 1-15, April.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.

      Corrections

      All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:apmaco:v:415:y:2022:i:c:s0096300321007748. See general information about how to correct material in RePEc.

      If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

      If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

      If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

      For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

      Please note that corrections may take a couple of weeks to filter through the various RePEc services.

      IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.