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1984•International Journal for Numerical Methods in EngineeringRequires access

Description of the orthogonal collocation method for modelling flames in furnaces

K. Chandrasekharan, F. E. J. Briffa

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Abstract

Abstract The orthogonal collocation method has been used to solve some of the governing equations encountered in modelling flames with the boundary layer approximation. A split trial function is used to permit greater resolution of the region close to the reactor inlet. The governing equations constituting a set of coupled parabolic partial differential equations are transformed to a set of ordinary differential equations and integrated numerically by an explicit marching method. The details of the numerical scheme are elaborated.

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Abstract The orthogonal collocation method has been used to solve some of the governing equations encountered in modelling flames with the boundary layer approximation. A split trial function is used to permit greater resolution of the region close to the reactor inlet. The governing equations constituting a set of coupled parabolic partial differential equations are transformed to a set of ordinary differential equations and integrated numerically by an explicit marching method. The details of the numerical scheme are elaborated.

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Available abstract

Abstract The orthogonal collocation method has been used to solve some of the governing equations encountered in modelling flames with the boundary layer approximation. A split trial function is used to permit greater resolution of the region close to the reactor inlet. The governing equations constituting a set of coupled parabolic partial differential equations are transformed to a set of ordinary differential equations and integrated numerically by an explicit marching method. The details of the numerical scheme are elaborated.

Key concepts: Orthogonal collocation, Collocation method, Ordinary differential equation, Collocation (remote sensing), Partial differential equation, Mathematics, Set (abstract data type), Mathematical analysis

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