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A Numerically Stable Method for Integration of the Multicomponent Species Diffusion Equations

โœ Scribed by William Wangard III; David S. Dandy; Brian J. Miller

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
79 KB
Volume
174
Category
Article
ISSN
0021-9991

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โœฆ Synopsis

A diagonally implicit method is shown to be an effective method for integrating the multicomponent species conservation equations. The constitutive equation for multicomponent diffusion is recast into a form analogous to that for binary diffusion, except that the diffusion coefficient is replaced with a matrix of effective multicomponent diffusion coefficients. The resulting matrix has properties that allow the diagonal terms to be integrated implicitly and the off-diagonal terms to be integrated explicitly. Numerical experiments show the integration procedure is stable for time steps much larger than the diffusion equation time step condition.

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