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

DOI: 10.1615/ICHMT.1997.IntSymLiqTwoPhaseFlowTranspPhenCHT.180
8 pages

Juan I. Ramos
Escuela de Ingenierias Industriales, Universidad de Malaga, Dr. Ortiz Ramos, s/n 29071 Malaga, Spain

Abstrakt

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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