Discretization of three dimensional non-uniform grid: conditional moment closure elliptic equation using finite difference method

Noor, M. M. 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: 3rd Malaysian Postgraduate Conference (MPC 2013), 4-5 Jul 2013, Sydney, Australia.

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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.


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Item Type: Conference or Workshop Item (Commonwealth Reporting Category E) (Paper)
Refereed: Yes
Item Status: Live Archive
Additional Information: This proceedings are open to public.
Faculty / Department / School: Current - Faculty of Health, Engineering and Sciences - School of Mechanical and Electrical Engineering
Date Deposited: 02 Sep 2013 01:53
Last Modified: 12 Jun 2017 23:58
Uncontrolled Keywords: finite difference method; Taylor series; conditional moment closure; non-uniform grid; FORTRAN; MATLAB
Fields of Research : 01 Mathematical Sciences > 0105 Mathematical Physics > 010503 Mathematical Aspects of Classical Mechanics, Quantum Mechanics and Quantum Information Theory
08 Information and Computing Sciences > 0802 Computation Theory and Mathematics > 080202 Applied Discrete Mathematics
08 Information and Computing Sciences > 0805 Distributed Computing > 080501 Distributed and Grid Systems
Socio-Economic Objective: E Expanding Knowledge > 97 Expanding Knowledge > 970101 Expanding Knowledge in the Mathematical Sciences
URI: http://eprints.usq.edu.au/id/eprint/23990

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