Article ID Journal Published Year Pages File Type
499770 Computer Methods in Applied Mechanics and Engineering 2007 13 Pages PDF
Abstract

This paper introduces directed graphs on which the evolution of a physical quantity depends only on local neighborhoods. These graphs are then used to model transfer phenomena occurring under a convective mode or a diffusive mode. The conditions under which the state associated to such graphs approaches the solution of a diffusion-convection partial differential model are established. An algorithm permitting to determine consistent neighborhoods is described and recognized as a generalization of the finite difference method. Examples of application are presented in order to illustrate the practical applicability of these concepts.

Related Topics
Physical Sciences and Engineering Computer Science Computer Science Applications
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