EFFICIENT EXPLICIT NUMERICAL TECHNIQUE FOR MODELING ADVECTION DIFFUSION REACTION FOR A WATER QUALITY MODEL IN AN OPENED UNIFORM FLOW – A 1D PERSPECTIVE

Authors:

Abdul Qadir Mugheri,Asif Ali Shaikh,Shafqat Shahzoor Chandio Baloch,

DOI NO:

https://doi.org/10.26782/jmcms.2023.07.00004

Keywords:

Explicit,Finite Difference,One Dimensional Advection Diffusion Equation,Uniform Flow,

Abstract

This research paper presents a novel and efficient explicit numerical technique for modeling advection diffusion reactions in an opened uniform flow from a one-dimensional perspective. The proposed hybrid scheme combines the benefits of explicit finite difference schemes, resulting in an accurate and fast solution for the advection-diffusion equation in water stream problems. The effectiveness of the scheme is demonstrated through its successful implementation in the solution of the water quality problems, where the advection-diffusion equation plays a crucial role. The results obtained using this technique show improved accuracy and computational efficiency. Overall, this research offers a valuable contribution to the field of numerical modeling in water quality and provides a useful tool for researchers and practitioners working in the area of approximating the one-dimensional diffusion equation for the measurement of pollutant concentration.

Refference:

I. Febi Sanjaya and Sudi Mungkasi, : “A simple but accurate explicit finite difference method for the advection-diffusion equation” International Conference on Science and Applied Science 2017 IOP Publishing, IOP Conf. Series: Journal of Physics: Conf. Series 909 (2017) 012038. 10.1088/1742-6596/909/1/012038.
II. Halil Karahan, : “Solution of Weighted Finite Difference Techniques with the Advection_Diffusion Equation Using Spreadsheets”. 2008 Wiley Periodicals, Inc. Comput Appl Eng Educ 16: 147_156, 2008; Published online in Wiley Inter Science (www.interscience.wiley.com). 10.1002/cae.20140.
III. Inasse EL Arabi, Anas Chafi and Salaheddine Kammouri Alami, : “ Numerical simulation of the advection-diffusion-reaction equation using finite difference and operator splitting methods Application on the 1D transport problem of contaminant in saturated porous media”. E3S Web of Conferences 351, 01003 (2022). 10.1051/e3sconf/202235101003ICIES’22
IV. Mehdi Dehghan, : “Weighted Finite Difference Techniques For The One-dimensional Advection-Diffusion Equation”, ELSEVIER Applied Mathematics and computation 147 (2004) 307-319.
V. Pawarisa, Samalerk and Nopparat Pochai, : “A Saulyev Explicit Scheme for an One-Dimensional Advection-Diffusion-Reaction Equation in an Opened Uniform Flow Stream”. Thai Journal of Mathematics Volume 18 Number 2 (2020) Pages 677-683.
VI. Piyada, Phosri, NopparatPochai, : “Explicit Finite Difference Techniques for a One-Dimensional Water Pollutant Dispersion Model in a Stream”. PIYADA PHOSRI et al. 10.5013/IJSSST.a.21.03.01 1.1 ISSN: 1473-804x online, 1473-8031 print.
VII. Samalerk, Pawarisa and NopparatPochai, : “Numerical Simulation Of A One-Dimensional water Quality Model In A Stream Using A Saulyev Technique With Quadatic Interpolated Initial Boundary Conditions”. Hindawi Abstract and Applied Analysis Volume 2018, Article ID 1926519, 7 pages. 10.1155/2018/1926519.

View Download