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

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 discretiza...

Full description

Bibliographic Details
Main Authors: M. M., Noor, Wandel, Andrew P., Yusaf, Talal
Format: Conference or Workshop Item
Language:English
Published: 2013
Subjects:
Online Access:http://umpir.ump.edu.my/id/eprint/3873/
http://umpir.ump.edu.my/id/eprint/3873/1/fkm-2013-mm_noor-discretization_of_three.pdf
id ump-3873
recordtype eprints
spelling ump-38732015-03-03T09:16:39Z http://umpir.ump.edu.my/id/eprint/3873/ Discretization of Three Dimensional Non-Uniform Grid: Conditional Moment Closure Elliptic Equation Using Finite Difference Method M. M., Noor Wandel, Andrew P. Yusaf, Talal TJ Mechanical engineering and machinery QA Mathematics QC Physics 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. 2013-08-22 Conference or Workshop Item PeerReviewed application/pdf en http://umpir.ump.edu.my/id/eprint/3873/1/fkm-2013-mm_noor-discretization_of_three.pdf 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..
repository_type Digital Repository
institution_category Local University
institution Universiti Malaysia Pahang
building UMP Institutional Repository
collection Online Access
language English
topic TJ Mechanical engineering and machinery
QA Mathematics
QC Physics
spellingShingle TJ Mechanical engineering and machinery
QA Mathematics
QC Physics
M. M., Noor
Wandel, Andrew P.
Yusaf, Talal
Discretization of Three Dimensional Non-Uniform Grid: Conditional Moment Closure Elliptic Equation Using Finite Difference Method
description 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.
format Conference or Workshop Item
author M. M., Noor
Wandel, Andrew P.
Yusaf, Talal
author_facet M. M., Noor
Wandel, Andrew P.
Yusaf, Talal
author_sort M. M., Noor
title Discretization of Three Dimensional Non-Uniform Grid: Conditional Moment Closure Elliptic Equation Using Finite Difference Method
title_short Discretization of Three Dimensional Non-Uniform Grid: Conditional Moment Closure Elliptic Equation Using Finite Difference Method
title_full Discretization of Three Dimensional Non-Uniform Grid: Conditional Moment Closure Elliptic Equation Using Finite Difference Method
title_fullStr Discretization of Three Dimensional Non-Uniform Grid: Conditional Moment Closure Elliptic Equation Using Finite Difference Method
title_full_unstemmed Discretization of Three Dimensional Non-Uniform Grid: Conditional Moment Closure Elliptic Equation Using Finite Difference Method
title_sort discretization of three dimensional non-uniform grid: conditional moment closure elliptic equation using finite difference method
publishDate 2013
url http://umpir.ump.edu.my/id/eprint/3873/
http://umpir.ump.edu.my/id/eprint/3873/1/fkm-2013-mm_noor-discretization_of_three.pdf
first_indexed 2023-09-18T21:58:27Z
last_indexed 2023-09-18T21:58:27Z
_version_ 1777414236804218880