Grid expansion factor for the shooting method solution of convection-diffusion equation

The essential nature of convection-diffusion related problems is the main reason why they are found in various science and engineering applications. This includes the computational fluid dynamics problems of grid structure for the numerical calculations. In this research, the importance of the relat...

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Main Author: Abdullah, Aslam
Format: Article
Language:English
Published: Asian Research Publishing Network (ARPN) 2019
Subjects:
Online Access:http://eprints.uthm.edu.my/4599/1/AJ%202019%20%28286%29.pdf
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author Abdullah, Aslam
author_facet Abdullah, Aslam
author_sort Abdullah, Aslam
collection UTHM
description The essential nature of convection-diffusion related problems is the main reason why they are found in various science and engineering applications. This includes the computational fluid dynamics problems of grid structure for the numerical calculations. In this research, the importance of the relationships between the grid structure and the flow parameters is emphasized. A systematic technique in setting the parameter of interest is applied. In particular, we present the a posteriori formulation of low Peclet number based grid expansion factor for the numerical solution of convectiondiffusion equation. The resulting function which is ‘many-to-one’ serves as a standard for a more efficient decision-making in the determination of the computational domain grid, and in eliminating some heuristic aspects of the scalar concentration prediction. The results confirm the effectiveness of the new approach.
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spelling uthm.eprints-45992021-12-07T08:19:54Z http://eprints.uthm.edu.my/4599/ Grid expansion factor for the shooting method solution of convection-diffusion equation Abdullah, Aslam QA299.6-433 Analysis The essential nature of convection-diffusion related problems is the main reason why they are found in various science and engineering applications. This includes the computational fluid dynamics problems of grid structure for the numerical calculations. In this research, the importance of the relationships between the grid structure and the flow parameters is emphasized. A systematic technique in setting the parameter of interest is applied. In particular, we present the a posteriori formulation of low Peclet number based grid expansion factor for the numerical solution of convectiondiffusion equation. The resulting function which is ‘many-to-one’ serves as a standard for a more efficient decision-making in the determination of the computational domain grid, and in eliminating some heuristic aspects of the scalar concentration prediction. The results confirm the effectiveness of the new approach. Asian Research Publishing Network (ARPN) 2019 Article PeerReviewed text en http://eprints.uthm.edu.my/4599/1/AJ%202019%20%28286%29.pdf Abdullah, Aslam (2019) Grid expansion factor for the shooting method solution of convection-diffusion equation. ARPN Journal of Engineering and Applied Sciences, 14 (7). pp. 1370-1376. ISSN 1819-6608
spellingShingle QA299.6-433 Analysis
Abdullah, Aslam
Grid expansion factor for the shooting method solution of convection-diffusion equation
title Grid expansion factor for the shooting method solution of convection-diffusion equation
title_full Grid expansion factor for the shooting method solution of convection-diffusion equation
title_fullStr Grid expansion factor for the shooting method solution of convection-diffusion equation
title_full_unstemmed Grid expansion factor for the shooting method solution of convection-diffusion equation
title_short Grid expansion factor for the shooting method solution of convection-diffusion equation
title_sort grid expansion factor for the shooting method solution of convection diffusion equation
topic QA299.6-433 Analysis
url http://eprints.uthm.edu.my/4599/1/AJ%202019%20%28286%29.pdf
work_keys_str_mv AT abdullahaslam gridexpansionfactorfortheshootingmethodsolutionofconvectiondiffusionequation