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A Simulation Method of 2D Steady Scalar Convection-Diffusion Flow on an Exponentially Graded Mesh

Owing to its fundamental nature, convection-diffusion flows are researched in a number of engineering, scientific, and aeronautical applications. The right meshing approaches are necessary for convection-diffusion simulations. Major meshes in computational fluid dynamics that are used to find the s...

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Main Author: Aslam Abdullah, Aslam Abdullah
Format: Article
Language:English
Published: semarak ilmu 2023
Subjects:
T Technology (General)
Online Access:http://eprints.uthm.edu.my/10716/1/J16151_2dd44395e8d5029bbc132a3f6ce4a852.pdf
http://eprints.uthm.edu.my/10716/
https://doi.org/10.37934/arfmts.105.1.7689
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spelling my.uthm.eprints.107162024-01-15T07:37:26Z http://eprints.uthm.edu.my/10716/ A Simulation Method of 2D Steady Scalar Convection-Diffusion Flow on an Exponentially Graded Mesh Aslam Abdullah, Aslam Abdullah T Technology (General) Owing to its fundamental nature, convection-diffusion flows are researched in a number of engineering, scientific, and aeronautical applications. The right meshing approaches are necessary for convection-diffusion simulations. Major meshes in computational fluid dynamics that are used to find the solutions to discretized governing equations include uniform, piecewise-uniform, graded, and hybrid meshes. Unintentionally applying the meshes might lead to poor solutions including numerical oscillations, over- or underpredictions, and lengthy computing time. Accentuating the effectiveness of exponentially graded mesh finite-difference scheme, this paper takes the simulation of a 2D steady scalar convection-diffusion into account. The problem was solved by assigning certain mesh expansion factor to the mesh according to Peclet number. The factor was determined based on its previously derived logarithmically linear relationship with low Peclet number. Based on the values of Peclet number and the source, eight groups of test cases are presented in this paper. It was found that given a Peclet and a mesh number, simulation error percentage was surprisingly constant regardless the source values. The rates of convergence for the scheme, however, were comparable with respect to source values. Uniform convergence rate was also found to be achievable in all test cases corresponding to Peclet number of interests. This work successfully assessed the validity range of the generalized logarithmically linear model between exponentially graded mesh expansion factor and Peclet number for the simulation. semarak ilmu 2023 Article PeerReviewed text en http://eprints.uthm.edu.my/10716/1/J16151_2dd44395e8d5029bbc132a3f6ce4a852.pdf Aslam Abdullah, Aslam Abdullah (2023) A Simulation Method of 2D Steady Scalar Convection-Diffusion Flow on an Exponentially Graded Mesh. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 105 (1). pp. 76-89. ISSN 2289-7879 https://doi.org/10.37934/arfmts.105.1.7689
institution Universiti Tun Hussein Onn Malaysia
building UTHM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Tun Hussein Onn Malaysia
content_source UTHM Institutional Repository
url_provider http://eprints.uthm.edu.my/
language English
topic T Technology (General)
spellingShingle T Technology (General)
Aslam Abdullah, Aslam Abdullah
A Simulation Method of 2D Steady Scalar Convection-Diffusion Flow on an Exponentially Graded Mesh
description Owing to its fundamental nature, convection-diffusion flows are researched in a number of engineering, scientific, and aeronautical applications. The right meshing approaches are necessary for convection-diffusion simulations. Major meshes in computational fluid dynamics that are used to find the solutions to discretized governing equations include uniform, piecewise-uniform, graded, and hybrid meshes. Unintentionally applying the meshes might lead to poor solutions including numerical oscillations, over- or underpredictions, and lengthy computing time. Accentuating the effectiveness of exponentially graded mesh finite-difference scheme, this paper takes the simulation of a 2D steady scalar convection-diffusion into account. The problem was solved by assigning certain mesh expansion factor to the mesh according to Peclet number. The factor was determined based on its previously derived logarithmically linear relationship with low Peclet number. Based on the values of Peclet number and the source, eight groups of test cases are presented in this paper. It was found that given a Peclet and a mesh number, simulation error percentage was surprisingly constant regardless the source values. The rates of convergence for the scheme, however, were comparable with respect to source values. Uniform convergence rate was also found to be achievable in all test cases corresponding to Peclet number of interests. This work successfully assessed the validity range of the generalized logarithmically linear model between exponentially graded mesh expansion factor and Peclet number for the simulation.
format Article
author Aslam Abdullah, Aslam Abdullah
author_facet Aslam Abdullah, Aslam Abdullah
author_sort Aslam Abdullah, Aslam Abdullah
title A Simulation Method of 2D Steady Scalar Convection-Diffusion Flow on an Exponentially Graded Mesh
title_short A Simulation Method of 2D Steady Scalar Convection-Diffusion Flow on an Exponentially Graded Mesh
title_full A Simulation Method of 2D Steady Scalar Convection-Diffusion Flow on an Exponentially Graded Mesh
title_fullStr A Simulation Method of 2D Steady Scalar Convection-Diffusion Flow on an Exponentially Graded Mesh
title_full_unstemmed A Simulation Method of 2D Steady Scalar Convection-Diffusion Flow on an Exponentially Graded Mesh
title_sort simulation method of 2d steady scalar convection-diffusion flow on an exponentially graded mesh
publisher semarak ilmu
publishDate 2023
url http://eprints.uthm.edu.my/10716/1/J16151_2dd44395e8d5029bbc132a3f6ce4a852.pdf
http://eprints.uthm.edu.my/10716/
https://doi.org/10.37934/arfmts.105.1.7689
_version_ 1789427613020717056
score 13.211869

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