Asymptotic analysis and numerical modeling of mass transport in tubular structures

TL;DR

This paper develops an asymptotic and numerical approach to analyze mass transport in thin tubular structures, reducing computational costs while maintaining accuracy through domain decomposition and comparison with FEM solutions.

Contribution

It introduces an asymptotic expansion and domain decomposition strategy for efficient numerical modeling of flow in thin tubular structures, validated against FEM results.

Findings

The asymptotic expansion accurately approximates the flow in thin structures.

The domain decomposition strategy reduces computational memory and time.

Numerical results agree well with direct FEM solutions.

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.