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Discretization of Three Dimensional Non-Uniform Grid: Conditional Moment Closure Elliptic Equation Using Finite Difference Method

M. M., Noor and Wandel, Andrew P. and Yusaf, Talal (2013) Discretization of Three Dimensional Non-Uniform Grid: Conditional Moment Closure Elliptic Equation Using Finite Difference Method. In: Proceedings of the 3rd Malaysian Postgraduate Conference (MPC) 2013, 4-5 July 2013 , Sydney, Australia. pp. 48-60..

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Abstract

In most engineering problems, the solution of meshing grid is non-uniform where fine grid is identified at the sensitive area of the simulation and coarse grid at the normal area. The purpose of the experiment is to ensure the simulation is accurate and utilizes appropriate resources. The discretization of non-uniform grid was done using Taylor expansion series and Finite Difference Method (FDM). Central difference method was used to minimize the error on the effect of truncation. The purpose of discretization is to transform the calculus problem (as continuous equation) to numerical form (as discrete equation). The steps are discretizing the continuous physical domain to discrete finite different grid and then approximate the individual partial derivative in the partial differential equation. This discretization method was used to discritize the Conditional Moment Closure (CMC) equation. The discrete form of CMC equation can be then coded using FORTRAN or MATLAB software.

Item Type: Conference or Workshop Item (Speech)
Additional Information: Muhamad Mat Noor (M. M. Noor)
Uncontrolled Keywords: Finite difference method, Taylor series, Conditional moment closure, Non-uniform grid, FORTRAN, MATLAB
Subjects: T Technology > TJ Mechanical engineering and machinery
Q Science > QA Mathematics
Q Science > QC Physics
Faculty/Division: Unspecified
Faculty of Mechanical Engineering
Depositing User: Ts. Dr. Muhamad Mat Noor
Date Deposited: 10 Oct 2013 05:20
Last Modified: 03 Mar 2015 09:16
URI: http://umpir.ump.edu.my/id/eprint/3873
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