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Asymptotic analysis and numerical modeling of mass transport in tubular structures

Authors
  • Cardone, G.
  • Panasenko, G. P.
  • Sirakov, Y.
Type
Published Article
Publication Date
Oct 30, 2009
Submission Date
Oct 29, 2009
Identifiers
DOI: 10.1142/S0218202510004283
Source
arXiv
License
Yellow
External links

Abstract

In the paper the flow in a thin tubular structure is considered. The velocity of the flow stands for a coefficient in the diffusion-convection equation set in the thin structure. An asymptotic expansion of solution is constructed. This expansion is used further for justification of an asymptotic domain decomposition strategy essentially reducing the memory and the time of the code. A numerical solution obtained by this strategy is compared to the numerical solution obtained by a direct FEM computation.

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