2022 Finite Volume Method for a Time-Dependent Convection-Diffusion-Reaction Equation with Small Parameters
Uzair Ahmed, Daoud Suleiman Mashat, Dalal Adnan Maturi
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Int. J. Differ. Equ. 2022: 1-15 (2022). DOI: 10.1155/2022/3476309


Convection, diffusion, and reaction mechanisms are characteristics of transient mass-transfer phenomena that occur in natural and industrial systems. In this article, we contemplate a passive scalar transport governed by the convection-diffusion-reaction (CDR) equation in 2D flow. The efficiency of solving computationally partial differential equations can be illustrated by using a precise numerical method that yields remarkable precision at a low cost. The accuracy and computational efficiency of two second-order finite difference methods were investigated. The results were compared to a finite volume technique, which has a memory advantage and conserves mass, momentum, and energy even on coarse grids. For various diffusion coefficient values, numerical simulation of unsteady CDR equation are also performed. The techniques were examined for consistency and convergence. The effectiveness and accuracy of these approaches for solving CDR equations are demonstrated by simulation results. Efficiency is measured using L2 and L, and the estimated results are compared to the corresponding analytical solution.


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Uzair Ahmed. Daoud Suleiman Mashat. Dalal Adnan Maturi. "Finite Volume Method for a Time-Dependent Convection-Diffusion-Reaction Equation with Small Parameters." Int. J. Differ. Equ. 2022 1 - 15, 2022. https://doi.org/10.1155/2022/3476309


Received: 24 January 2022; Accepted: 2 April 2022; Published: 2022
First available in Project Euclid: 28 July 2022

MathSciNet: MR4429880
Digital Object Identifier: 10.1155/2022/3476309

Rights: Copyright © 2022 Hindawi


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