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• EXACT-FACTORIZATION, COMPACT METHODS FOR MULTIDIMENSIONAL HEAT TRANSFER: APPLICATION TO COMBUSTION  download article

J. I. Ramos
Departamento de Lenguajes y Ciencias de la Computatión, E.T.S. Ingenieros Industriales, Universidad de Málaga, Plaza El Ejido, s/n, 29013-Málaga, Spain

ABSTRACT

An iterative predictor-corrector technique for the elimination of the approximate factorization errors which result from the factorization of implicit, three-point, compact, linearized θ-methods in multidimensional reaction-diffusion equations is proposed, and its convergence and linear stability are analyzed. Compact, approximate factorization techniques which do not account for the approximate factorization errors and which involve three-point stencils for each one-dimensional operator are developed. The techniques are applied to a nonlinear, two-species, two-dimensional system of reaction-diffusion equations in order to determine the approximate factorization errors as functions of the allocation of the reaction terms, space and time.

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