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Least-squares finite element method for solving stokes flow under point source magnetic field

The least-squares finite element method (LSFEM) is successfully employed for the discretiza-tion of the Stokes equations and the numerical computation of the behaviour of two-dimensional Stokes flow in a straight rectangular channel under the effect of a point-source magnetic field. LSFEM has severa...

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主要な著者: Che Ayob, Alia Rafiza, Ismail, Zuhaila, Kasiman, Erwan Hafizi
フォーマット: 論文
言語:English
出版事項: MDPI 2022
主題:
QA Mathematics
オンライン･アクセス:http://eprints.utm.my/104547/1/ZuhailaIsmail2022_LeastSquaresFiniteElementMethod.pdf
http://eprints.utm.my/104547/
http://dx.doi.org/10.3390/sym14030514
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spelling my.utm.1045472024-02-14T05:53:21Z http://eprints.utm.my/104547/ Least-squares finite element method for solving stokes flow under point source magnetic field Che Ayob, Alia Rafiza Ismail, Zuhaila Kasiman, Erwan Hafizi QA Mathematics The least-squares finite element method (LSFEM) is successfully employed for the discretiza-tion of the Stokes equations and the numerical computation of the behaviour of two-dimensional Stokes flow in a straight rectangular channel under the effect of a point-source magnetic field. LSFEM has several advantages in terms of theory and computing, where it can always create a symmetric, positive-definite algebraic system of equations. It also allows for using an equal order shape function for both velocity and pressure, and it is not required to satisfy the Ladyzhenskaya–Babuška–Brezzi (LBB) condition. Despite this, LSFEM has an issue where low-order nodal expansions tend to lock. Thus, the present study proposes the discretization of the problem domain using higher-order nodes elements with full numerical integration. Results concerning velocity contour and streamlines pattern are shown. On the basis of current findings, it can be concluded that the LSFEM can be used to solve Stokes flow problem under the point source magnetic field. MDPI 2022-03 Article PeerReviewed application/pdf en http://eprints.utm.my/104547/1/ZuhailaIsmail2022_LeastSquaresFiniteElementMethod.pdf Che Ayob, Alia Rafiza and Ismail, Zuhaila and Kasiman, Erwan Hafizi (2022) Least-squares finite element method for solving stokes flow under point source magnetic field. Symmetry, 14 (3). pp. 1-15. ISSN 2073-8994 http://dx.doi.org/10.3390/sym14030514 DOI:10.3390/sym14030514
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
language English
topic QA Mathematics
spellingShingle QA Mathematics
Che Ayob, Alia Rafiza
Ismail, Zuhaila
Kasiman, Erwan Hafizi
Least-squares finite element method for solving stokes flow under point source magnetic field
description The least-squares finite element method (LSFEM) is successfully employed for the discretiza-tion of the Stokes equations and the numerical computation of the behaviour of two-dimensional Stokes flow in a straight rectangular channel under the effect of a point-source magnetic field. LSFEM has several advantages in terms of theory and computing, where it can always create a symmetric, positive-definite algebraic system of equations. It also allows for using an equal order shape function for both velocity and pressure, and it is not required to satisfy the Ladyzhenskaya–Babuška–Brezzi (LBB) condition. Despite this, LSFEM has an issue where low-order nodal expansions tend to lock. Thus, the present study proposes the discretization of the problem domain using higher-order nodes elements with full numerical integration. Results concerning velocity contour and streamlines pattern are shown. On the basis of current findings, it can be concluded that the LSFEM can be used to solve Stokes flow problem under the point source magnetic field.
format Article
author Che Ayob, Alia Rafiza
Ismail, Zuhaila
Kasiman, Erwan Hafizi
author_facet Che Ayob, Alia Rafiza
Ismail, Zuhaila
Kasiman, Erwan Hafizi
author_sort Che Ayob, Alia Rafiza
title Least-squares finite element method for solving stokes flow under point source magnetic field
title_short Least-squares finite element method for solving stokes flow under point source magnetic field
title_full Least-squares finite element method for solving stokes flow under point source magnetic field
title_fullStr Least-squares finite element method for solving stokes flow under point source magnetic field
title_full_unstemmed Least-squares finite element method for solving stokes flow under point source magnetic field
title_sort least-squares finite element method for solving stokes flow under point source magnetic field
publisher MDPI
publishDate 2022
url http://eprints.utm.my/104547/1/ZuhailaIsmail2022_LeastSquaresFiniteElementMethod.pdf
http://eprints.utm.my/104547/
http://dx.doi.org/10.3390/sym14030514
_version_ 1792147814425296896
score 13.251813

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