Journal of Architecture, Planning and Environmental Engineering (Transactions of AIJ)
Online ISSN : 2433-0043
Print ISSN : 0910-8017
ISSN-L : 0910-8017
STABILITY ANALYSIS CONVECTION-DIFFUSION EQUATION WITH CROSS DIFFUSION
Hisashi HIRAOKA
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Keywords: stability analysis, differential stress model, cross diffusion, Hirt's method, Neumann's method
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1993 Volume 443 Pages 7-14

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Abstract
This paper reports a way to compute Differential Stress Model stably. Differential Stress Model belongs a kind of convection-diffusion equation with cross diffusion term. We showed how to determine a stable time step for an equation of this sort, based on the Hirt's heuristic stability analysis, with which a time step is calculated easily. The Hirt's method was supported by the Neumann's Fourier series analysis.
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© 1993 Architectural Institute of Japan
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