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Description of the orthogonal collocation method for modelling flames in furnaces
Author(s) -
Chandrasekharan K.,
Briffa F. E. J.
Publication year - 1984
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620201105
Subject(s) - orthogonal collocation , collocation method , ordinary differential equation , collocation (remote sensing) , partial differential equation , mathematics , set (abstract data type) , mathematical analysis , boundary (topology) , boundary value problem , regularized meshless method , function (biology) , differential equation , singular boundary method , computer science , boundary element method , finite element method , physics , machine learning , evolutionary biology , biology , programming language , thermodynamics
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.