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Elastic Mesh Deformation for Internal Flows with Moving Boundaries

This project aims to study elastic-based mesh deformation for internal flow problems with obstructions. As such a tank with a flexible internal beam serves as the tested case employed in this work. As such a computer code was developed and the elastic deformation was implemented via the Finite Eleme...

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Main Author: Mohammed, Ali Alaa Abdelkareem Awad
Other Authors: Malan, Arnaud
Format: Thesis
Language:Eng
Published: Department of Mechanical Engineering 2024
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access_status_str Open Access
author Mohammed, Ali Alaa Abdelkareem Awad
author2 Malan, Arnaud
author_browse Malan, Arnaud
Mohammed, Ali Alaa Abdelkareem Awad
author_facet Malan, Arnaud
Mohammed, Ali Alaa Abdelkareem Awad
author_sort Mohammed, Ali Alaa Abdelkareem Awad
collection Thesis
description This project aims to study elastic-based mesh deformation for internal flow problems with obstructions. As such a tank with a flexible internal beam serves as the tested case employed in this work. As such a computer code was developed and the elastic deformation was implemented via the Finite Element Galerkin method with two methods to control the element's distortion near the moving boundaries, Jacobian-based stiffening modification and the distance criterion method. Verification of the scheme was performed by conducting the same test as described in a journal and comparing the obtained results. The project focused on mesh deformation resulting from prescribing the displacements to the inner boundaries of the beam. The results were validated by assessing mesh quality using aspect ratio as a metric, for the 2D unstructured triangular mesh, the element mesh quality showed improvement when the Jacobian-based stiffening method was applied, which involved excluding the determinant of the Jacobian from the stiffness matrix formulation. Similarly, for the 3D unstructured mesh, the aspect ratio improved from elements collapsing to a value close to 1. In both cases, optimal mesh quality was achieved using the distance criterion method for 2D and 3D structured meshes. Specifically, for the 2D structured mesh, the aspect ratio demonstrated improvement, while for the 3D structured mesh, a further enhancement was also observed.
format Thesis
id oai:open.uct.ac.za:11427/39657
institution University of Cape Town (South Africa)
language Eng
last_indexed 2026-06-10T12:32:45.765Z
license_str Not specified — see source repository
provenance_str_mv Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository
publishDate 2024
publishDateRange 2024
publishDateSort 2024
publisher Department of Mechanical Engineering
publisherStr Department of Mechanical Engineering
record_format dspace
source_str UCTD — University of Cape Town Open Access Repository
spelling oai:open.uct.ac.za:11427/39657 Elastic Mesh Deformation for Internal Flows with Moving Boundaries Mohammed, Ali Alaa Abdelkareem Awad Malan, Arnaud Engineering This project aims to study elastic-based mesh deformation for internal flow problems with obstructions. As such a tank with a flexible internal beam serves as the tested case employed in this work. As such a computer code was developed and the elastic deformation was implemented via the Finite Element Galerkin method with two methods to control the element's distortion near the moving boundaries, Jacobian-based stiffening modification and the distance criterion method. Verification of the scheme was performed by conducting the same test as described in a journal and comparing the obtained results. The project focused on mesh deformation resulting from prescribing the displacements to the inner boundaries of the beam. The results were validated by assessing mesh quality using aspect ratio as a metric, for the 2D unstructured triangular mesh, the element mesh quality showed improvement when the Jacobian-based stiffening method was applied, which involved excluding the determinant of the Jacobian from the stiffness matrix formulation. Similarly, for the 3D unstructured mesh, the aspect ratio improved from elements collapsing to a value close to 1. In both cases, optimal mesh quality was achieved using the distance criterion method for 2D and 3D structured meshes. Specifically, for the 2D structured mesh, the aspect ratio demonstrated improvement, while for the 3D structured mesh, a further enhancement was also observed. 2024-05-20T11:43:46Z 2024-05-20T11:43:46Z 2023 2024-05-17T12:40:08Z Thesis / Dissertation Masters MSc http://hdl.handle.net/11427/39657 Eng application/pdf Department of Mechanical Engineering Faculty of Engineering and the Built Environment
spellingShingle Engineering
Mohammed, Ali Alaa Abdelkareem Awad
Elastic Mesh Deformation for Internal Flows with Moving Boundaries
thesis_degree_str Master's
title Elastic Mesh Deformation for Internal Flows with Moving Boundaries
title_full Elastic Mesh Deformation for Internal Flows with Moving Boundaries
title_fullStr Elastic Mesh Deformation for Internal Flows with Moving Boundaries
title_full_unstemmed Elastic Mesh Deformation for Internal Flows with Moving Boundaries
title_short Elastic Mesh Deformation for Internal Flows with Moving Boundaries
title_sort elastic mesh deformation for internal flows with moving boundaries
topic Engineering
url http://hdl.handle.net/11427/39657
work_keys_str_mv AT mohammedalialaaabdelkareemawad elasticmeshdeformationforinternalflowswithmovingboundaries