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

Noor, M. M. and Wandel, Andrew P. ORCID: https://orcid.org/0000-0002-7677-7129 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.

Item Type: Conference or Workshop Item (Commonwealth Reporting Category E) (Paper) Yes Live Archive This proceedings are open to public. Historic - Faculty of Health, Engineering and Sciences - School of Mechanical and Electrical Engineering (1 Jul 2013 - 31 Dec 2021) Historic - Faculty of Health, Engineering and Sciences - School of Mechanical and Electrical Engineering (1 Jul 2013 - 31 Dec 2021) 02 Sep 2013 01:53 12 Jun 2017 23:58 finite difference method; Taylor series; conditional moment closure; non-uniform grid; FORTRAN; MATLAB 01 Mathematical Sciences > 0105 Mathematical Physics > 010503 Mathematical Aspects of Classical Mechanics, Quantum Mechanics and Quantum Information Theory08 Information and Computing Sciences > 0802 Computation Theory and Mathematics > 080202 Applied Discrete Mathematics08 Information and Computing Sciences > 0805 Distributed Computing > 080501 Distributed and Grid Systems 49 MATHEMATICAL SCIENCES > 4902 Mathematical physics > 490203 Mathematical aspects of classical mechanics, quantum mechanics and quantum information theory49 MATHEMATICAL SCIENCES > 4901 Applied mathematics > 490199 Applied mathematics not elsewhere classified46 INFORMATION AND COMPUTING SCIENCES > 4606 Distributed computing and systems software > 460605 Distributed systems and algorithms E Expanding Knowledge > 97 Expanding Knowledge > 970101 Expanding Knowledge in the Mathematical Sciences http://eprints.usq.edu.au/id/eprint/23990

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