JSIAM Letters
Online ISSN : 1883-0617
Print ISSN : 1883-0609
ISSN-L : 1883-0617
Articles
Numerical modelling of nonlinear and degenerate diffusion equations on connected graphs: application to moisture dynamics in non-woven fibrous strip networks
Hidekazu YoshiokaIchiro KitaKotaro Fukada
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2016 年 8 巻 p. 45-48

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A numerical model of a nonlinear and degenerate diffusion equation on connected graphs, arising in a diversity of industrial applications, is presented. This paper shows that concurrently using a staggered finite volume spatial discretization with an analytical solution-based flux evaluation method and an operator-splitting technique computes stable and physically-consistent numerical solutions to the equation. A demonstrative application example of the numerical model to moisture dynamics in a hypothetical non-woven fibrous strip network under an evaporative environment is presented in order to show its versatility. Mathematical issues to be addressed in a future for better comprehending the model are finally discussed.

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© 2016, The Japan Society for Industrial and Applied Mathematics
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