Implementation of Conditional Moment Closure using the Taylor Expansion and Finite Differences

Current stringent rules for pollution release to the atmosphere have led to researchers worldwide developing methods to increase the efficiency of combustion. In order to reduce experimental cost, accurate modelling and simulation is a very critical step. One combustion model is Conditional...

Full description

Bibliographic Details
Main Authors: M. M., Noor, T. F., Yusaf
Format: Conference or Workshop Item
Language:English
Published: 2011
Subjects:
Online Access:http://umpir.ump.edu.my/id/eprint/2111/
http://umpir.ump.edu.my/id/eprint/2111/1/ICMER2011_-_Paper_151_Implement_CMC_Taylor_FDM_Final.pdf
_version_ 1848816987841495040
author M. M., Noor
T. F., Yusaf
author_facet M. M., Noor
T. F., Yusaf
author_sort M. M., Noor
building UMP Institutional Repository
collection Online Access
description Current stringent rules for pollution release to the atmosphere have led to researchers worldwide developing methods to increase the efficiency of combustion. In order to reduce experimental cost, accurate modelling and simulation is a very critical step. One combustion model is Conditional Moment Closure (CMC). This paper reports a preliminary result implementing the CMC model using a finite difference method. The Taylor series expansion was utilised to determine the error term for the discretization. FORTRAN code was used to simulate the discretized partial differential equation. From the simulation result, it is found that the explicit method is simple but less accurate than the implicit method.
first_indexed 2025-11-15T01:14:36Z
format Conference or Workshop Item
id ump-2111
institution Universiti Malaysia Pahang
institution_category Local University
language English
last_indexed 2025-11-15T01:14:36Z
publishDate 2011
recordtype eprints
repository_type Digital Repository
spelling ump-21112015-03-03T07:54:46Z http://umpir.ump.edu.my/id/eprint/2111/ Implementation of Conditional Moment Closure using the Taylor Expansion and Finite Differences M. M., Noor T. F., Yusaf TJ Mechanical engineering and machinery Current stringent rules for pollution release to the atmosphere have led to researchers worldwide developing methods to increase the efficiency of combustion. In order to reduce experimental cost, accurate modelling and simulation is a very critical step. One combustion model is Conditional Moment Closure (CMC). This paper reports a preliminary result implementing the CMC model using a finite difference method. The Taylor series expansion was utilised to determine the error term for the discretization. FORTRAN code was used to simulate the discretized partial differential equation. From the simulation result, it is found that the explicit method is simple but less accurate than the implicit method. 2011 Conference or Workshop Item PeerReviewed application/pdf en http://umpir.ump.edu.my/id/eprint/2111/1/ICMER2011_-_Paper_151_Implement_CMC_Taylor_FDM_Final.pdf M. M., Noor and T. F., Yusaf (2011) Implementation of Conditional Moment Closure using the Taylor Expansion and Finite Differences. In: International Conference of Mechanical Engineering Research (ICMER) 2011 , 5-7 Dec, 2011 , Malaysia. . (Unpublished) (Unpublished)
spellingShingle TJ Mechanical engineering and machinery
M. M., Noor
T. F., Yusaf
Implementation of Conditional Moment Closure using the Taylor Expansion and Finite Differences
title Implementation of Conditional Moment Closure using the Taylor Expansion and Finite Differences
title_full Implementation of Conditional Moment Closure using the Taylor Expansion and Finite Differences
title_fullStr Implementation of Conditional Moment Closure using the Taylor Expansion and Finite Differences
title_full_unstemmed Implementation of Conditional Moment Closure using the Taylor Expansion and Finite Differences
title_short Implementation of Conditional Moment Closure using the Taylor Expansion and Finite Differences
title_sort implementation of conditional moment closure using the taylor expansion and finite differences
topic TJ Mechanical engineering and machinery
url http://umpir.ump.edu.my/id/eprint/2111/
http://umpir.ump.edu.my/id/eprint/2111/1/ICMER2011_-_Paper_151_Implement_CMC_Taylor_FDM_Final.pdf