Numerical analysis of the advection-diffusion problems in thin curvilinear channel based on multiscale finite element method
Date
2017-06-15
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Lviv Politechnic Publishing House
Abstract
Розглянуто задачу адвекцiї-дифузiї у тонкому криволiнiйному каналi. До розв’язу-
вання цiєї задачi застовано рiзномасштабний метод скiнченних елементiв. Показано,
що цей метод є ефективним для достатньо великих чисел Пекле. Наведено та про-
аналiзовано результати обчислювальних експериментiв.
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.
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.
Description
Keywords
різномасштабний метод скінченних елементів, адвекція-дифузія, тонкий криволінійний канал, multiscale finite element method, advection-diffusion, thin curvilinear channel
Citation
Mazuriak N. Numerical analysis of the advection-diffusion problems in thin curvilinear channel based on multiscale finite element method / N. Mazuriak, Ya. Savula // Mathematical Modeling and Computing. — Lviv : Lviv Politechnic Publishing House, 2017. — Vol 4. — No 1. — P. 59–68.