Computational study of fluid forces over a cylinder attached with elastic beam: A finite element-based simulations

In this paper, we describe numerical algorithms that can be used to solve the coupled fluid–structure interaction with incompressible viscous fluid. We characterized the fluid force effects over a circular cylinder attached to an elastic rod. To resolve the coupled governing equations, the velocity...

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Main Authors: Yasir Arif, Rashid Mahmood, Mehdi Tlija, Afraz Hussain Majeed, Kamran Usman, Ehab Seif Ghith
Format: Article
Language:English
Published: AIP Publishing LLC 2025-01-01
Series:AIP Advances
Online Access:http://dx.doi.org/10.1063/5.0244529
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author Yasir Arif
Rashid Mahmood
Mehdi Tlija
Afraz Hussain Majeed
Kamran Usman
Ehab Seif Ghith
author_facet Yasir Arif
Rashid Mahmood
Mehdi Tlija
Afraz Hussain Majeed
Kamran Usman
Ehab Seif Ghith
author_sort Yasir Arif
collection DOAJ
description In this paper, we describe numerical algorithms that can be used to solve the coupled fluid–structure interaction with incompressible viscous fluid. We characterized the fluid force effects over a circular cylinder attached to an elastic rod. To resolve the coupled governing equations, the velocity profiles are approximated with quadratic polynomials (P2), while the pressure is estimated using a different space with linear polynomials (P1) using the finite element method. The discrete systems are solved using a Newton method that employs split differences to explicitly generate the Jacobian matrices. This approach enables us to address the nonlinearities at each time step and apply direct, steady techniques. The inquiry’s findings reveal a significant relationship between the behaviors related to steady streaming and the flow regimes associated with vortex shedding. In addition, at Re = 100, steady flow is characterized by minimal displacement and negligible oscillations. In contrast, the occurrence of larger oscillations at Reynolds numbers exceeding 140 suggests an increase in flow instability.
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institution Kabale University
issn 2158-3226
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publishDate 2025-01-01
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series AIP Advances
spelling doaj-art-4319c4d4c8544829a3bcf30e28c971472025-02-03T16:40:42ZengAIP Publishing LLCAIP Advances2158-32262025-01-01151015027015027-910.1063/5.0244529Computational study of fluid forces over a cylinder attached with elastic beam: A finite element-based simulationsYasir Arif0Rashid Mahmood1Mehdi Tlija2Afraz Hussain Majeed3Kamran Usman4Ehab Seif Ghith5Department of Mathematics, Air University, PAF Complex E-9, Islamabad 44000, PakistanDepartment of Mathematics, Air University, PAF Complex E-9, Islamabad 44000, PakistanDepartment of Industrial Engineering, College of Engineering, King Saud University, P.O. Box 800, Riyadh 11421, Saudi ArabiaSchool of Energy and Power Engineering, Jiangsu University, Zhenjiang 212013, ChinaDepartment of Mathematics, Air University, PAF Complex E-9, Islamabad 44000, PakistanDepartment of Mechatronics, Faculty of Engineering, Ain Shams University, Cairo 11566, EgyptIn this paper, we describe numerical algorithms that can be used to solve the coupled fluid–structure interaction with incompressible viscous fluid. We characterized the fluid force effects over a circular cylinder attached to an elastic rod. To resolve the coupled governing equations, the velocity profiles are approximated with quadratic polynomials (P2), while the pressure is estimated using a different space with linear polynomials (P1) using the finite element method. The discrete systems are solved using a Newton method that employs split differences to explicitly generate the Jacobian matrices. This approach enables us to address the nonlinearities at each time step and apply direct, steady techniques. The inquiry’s findings reveal a significant relationship between the behaviors related to steady streaming and the flow regimes associated with vortex shedding. In addition, at Re = 100, steady flow is characterized by minimal displacement and negligible oscillations. In contrast, the occurrence of larger oscillations at Reynolds numbers exceeding 140 suggests an increase in flow instability.http://dx.doi.org/10.1063/5.0244529
spellingShingle Yasir Arif
Rashid Mahmood
Mehdi Tlija
Afraz Hussain Majeed
Kamran Usman
Ehab Seif Ghith
Computational study of fluid forces over a cylinder attached with elastic beam: A finite element-based simulations
AIP Advances
title Computational study of fluid forces over a cylinder attached with elastic beam: A finite element-based simulations
title_full Computational study of fluid forces over a cylinder attached with elastic beam: A finite element-based simulations
title_fullStr Computational study of fluid forces over a cylinder attached with elastic beam: A finite element-based simulations
title_full_unstemmed Computational study of fluid forces over a cylinder attached with elastic beam: A finite element-based simulations
title_short Computational study of fluid forces over a cylinder attached with elastic beam: A finite element-based simulations
title_sort computational study of fluid forces over a cylinder attached with elastic beam a finite element based simulations
url http://dx.doi.org/10.1063/5.0244529
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