Implementation of conditional moment closure using the Taylor expansion and finite differences

Noor, M. M. and Hairuddin, A. Aziz and Wandel, Andrew P. and Yusaf, T. F. (2011) Implementation of conditional moment closure using the Taylor expansion and finite differences. In: 1st International Conference of Mechanical Engineering Research (ICMER 2011), 5-8 Dec 2011, Kuantan, Malaysia.

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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.

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Item Type: Conference or Workshop Item (Commonwealth Reporting Category E) (Paper)
Refereed: Yes
Item Status: Live Archive
Additional Information: c. Universiti Malaysia Pahang.
Faculty/School / Institute/Centre: Historic - Faculty of Engineering and Surveying - Department of Mechanical and Mechatronic Engineering
Date Deposited: 20 Jan 2012 07:20
Last Modified: 21 Oct 2014 01:11
Uncontrolled Keywords: conditional moment closure; Taylor expansion; finite different method; combustion
Fields of Research : 09 Engineering > 0902 Automotive Engineering > 090201 Automotive Combustion and Fuel Engineering (incl. Alternative/Renewable Fuels)
01 Mathematical Sciences > 0101 Pure Mathematics > 010104 Combinatorics and Discrete Mathematics (excl. Physical Combinatorics)
09 Engineering > 0913 Mechanical Engineering > 091307 Numerical Modelling and Mechanical Characterisation
Socio-Economic Objective: D Environment > 96 Environment > 9601 Air Quality > 960199 Air Quality not elsewhere classified
E Expanding Knowledge > 97 Expanding Knowledge > 970109 Expanding Knowledge in Engineering

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