Formulation of Low Peclet Number Based Grid Expansion Factor for the Solution of the Convection Diffusion Equation

Authors

  • A. Abdullah Department of Aeronautical Engineering, Universiti Tun Hussein Onn Malaysia, Batu Pahat, Malaysia
Volume: 8 | Issue: 2 | Pages: 2680-2684 | April 2018 | https://doi.org/10.48084/etasr.1858

Abstract

Convection-diffusion problems, due to its fundamental nature, are found in various science and engineering applications. In this research, the importance of the relationship between grid structure and flow parameters in such problems is emphasized. In particular, we propose a systematic technique in the selection of the grid expansion factor based on its logarithmic relationship with low Peclet number. Such linear mathematical connection between the two non-dimensional parameters serves as a guideline for more structured decision-making and improves the heuristic process in the determination of the computational domain grid for the numerical solution of convection-diffusion equations especially in the prediction of the concentration of the scalar. Results confirm the effectiveness of the new approach.

Keywords:

convection-diffusion equations, finite difference method, non-uniform grid, grid-expansion factor, Thomas algorithm

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How to Cite

[1]
A. Abdullah, “Formulation of Low Peclet Number Based Grid Expansion Factor for the Solution of the Convection Diffusion Equation”, Eng. Technol. Appl. Sci. Res., vol. 8, no. 2, pp. 2680–2684, Apr. 2018.

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