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CHT'97 - Advances in Computational Heat Transfer. Proceedings of the International Symposium
May, 26-30, 1997 , Çesme, Turkey

DOI: 10.1615/ICHMT.1997.IntSymLiqTwoPhaseFlowTranspPhenCHT


ISBN Print: 978-1-56700-115-0

ISSN: 2578-5486

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

page 8
DOI: 10.1615/ICHMT.1997.IntSymLiqTwoPhaseFlowTranspPhenCHT.180
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Краткое описание

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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