Theoretical and Applied Mechanics Japan
Online ISSN : 1349-4244
Print ISSN : 1348-0693
ISSN-L : 1348-0693
I. FLUID MECHANICS
Numerical and Mathematical Approach to Support Splitting and Merging Phenomena in the Behaviour of Non-Stationary Seepage
Kenji TOMOEDA
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2015 Volume 63 Pages 15-23

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Abstract

Numerical experiments suggest interesting properties in the several fields of fluid dynamics, plasma physics and population dynamics. Among such properties, there is a striking manifestation of support splitting and merging phenomena in the behaviour of non-stationary seepage. The model equation in one dimensional space is written in the form of the initial-boundary value problem with the effect of a non-linear filtration. In this paper, such phenomena are realized by use of finite difference schemes, and are justified from numerical and analytical points of view.

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© 2015 by National Committee for IUTAM
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