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  4. Numerical analysis of the advection-diffusion problems in thin curvilinear channel based on multiscale finite element method

Numerical analysis of the advection-diffusion problems in thin curvilinear channel based on multiscale finite element method

MMC.
2017;
Volume 4, Number 1
: pp. 59-68
https://doi.org/10.23939/mmc2017.01.059
Received: June 17, 2017

Math. Model. Comput. Vol.4, No.1, pp.59-68 (2017)

Authors:
  1. N. Mazuriak
  2. Ya. Savula
1
Ivan Franko National University of Lviv
2
Ivan Franko National University of Lviv

The advection-diffusion problem in a thin curvilinear channel is considered. The multiscale finite element method is applied to solving the formulated model problem. It is shown that this method is efficient in the case of sufficiently large Peclet numbers. Numerical examples are presented and analysed.

multiscale finite element method
advection-diffusion
thin curvilinear channel
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