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Development of an improved element-free Galerkin framework for immersed fluid-structure interaction problems / MOHAMMAD ABUGHABUSH

Swansea University Author: MOHAMMAD ABUGHABUSH

  • E-Thesis under embargo until: 3rd March 2027

DOI (Published version): 10.23889/SUThesis.69266

Abstract

Numerical methods for computational mechanics play a crucial role in understanding complex physical phenomena, particularly in the modelling of Fluid-Structure Interaction (FSI) problems that encompass fluid, solid, and fluid-solid interaction components. As such, there have been continuous efforts to...

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Published: Swansea University, Wales, UK 2025
Institution: Swansea University
Degree level: Doctoral
Degree name: Ph.D
Supervisor: Ademiloye, A, and Nithiarasu, P.
URI: https://cronfa.swan.ac.uk/Record/cronfa69266
first_indexed 2025-04-10T13:32:19Z
last_indexed 2025-04-11T05:22:36Z
id cronfa69266
recordtype RisThesis
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spelling 2025-04-10T14:36:27.0422169 v2 69266 2025-04-10 Development of an improved element-free Galerkin framework for immersed fluid-structure interaction problems a667fc43fa020d8902e69ae71e5ad473 MOHAMMAD ABUGHABUSH MOHAMMAD ABUGHABUSH true false 2025-04-10 Numerical methods for computational mechanics play a crucial role in understanding complex physical phenomena, particularly in the modelling of Fluid-Structure Interaction (FSI) problems that encompass fluid, solid, and fluid-solid interaction components. As such, there have been continuous efforts to develop numerical frameworks that can handle the inherent complexities of these types of problems while still being able to produce accurate results with reasonably efficient resources. This project investigates meshfree numerical techniques for FSI applications by employing the Improved Element-Free Galerkin (IEFG) method to model both the fluid and solid domains. Unlike conventional mesh- based methods that rely on element connectivity, the meshfree approach uses a cloud of nodes, thereby facilitating the simulation of problems with large deformations and motions. Furthermore, the nonlinear solid dynamics are solved using the alpha method to ensure stable temporal integration. When solving the fluid domain governed by the Navier-Stokes equations with a Galerkin method, numerical instabilities typically arise; these are effectively dealt with here through the well-established Characteristic-Based Split (CBS) scheme, which mitigates spurious oscillations. Additionally, the framework incorporates an extended Immersed Domain Method (IDM) that allows the Lagrangian, meshfree nodes of the solid to interact over a fixed Eulerian fluid domain, ensuring proper tracking of fluid-solid interactions during the simulation. Although the method achieves an accuracy that is comparable to that of the Finite Element Method (FEM), it does not provide significant improvements in computational efficiency in its current computational implementation. Nonetheless, this unified meshfree framework offers a viable alternative for FSI simulations, particularly in scenarios where the challenges of mesh generation and large deformations render conventional FEM less practical. E-Thesis Swansea University, Wales, UK Meshfree, Improved Moving Least-Squares, Transformation Method, Immersed Fluid-Structure Interaction, Characteristic-Based Split, Alpha method 3 3 2025 2025-03-03 10.23889/SUThesis.69266 A selection of content is redacted or is partially redacted from this thesis to protect sensitive and personal information. COLLEGE NANME COLLEGE CODE Swansea University Ademiloye, A, and Nithiarasu, P. Doctoral Ph.D 2025-04-10T14:36:27.0422169 2025-04-10T14:26:27.7683765 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Aerospace Engineering MOHAMMAD ABUGHABUSH 1 Under embargo Under embargo 2025-04-10T14:30:06.7838530 Output 11394090 application/pdf E-Thesis true 2027-03-03T00:00:00.0000000 Copyright: The Author, Mohammad Abughabush, 2024 true eng
title Development of an improved element-free Galerkin framework for immersed fluid-structure interaction problems
spellingShingle Development of an improved element-free Galerkin framework for immersed fluid-structure interaction problems
MOHAMMAD ABUGHABUSH
title_short Development of an improved element-free Galerkin framework for immersed fluid-structure interaction problems
title_full Development of an improved element-free Galerkin framework for immersed fluid-structure interaction problems
title_fullStr Development of an improved element-free Galerkin framework for immersed fluid-structure interaction problems
title_full_unstemmed Development of an improved element-free Galerkin framework for immersed fluid-structure interaction problems
title_sort Development of an improved element-free Galerkin framework for immersed fluid-structure interaction problems
author_id_str_mv a667fc43fa020d8902e69ae71e5ad473
author_id_fullname_str_mv a667fc43fa020d8902e69ae71e5ad473_***_MOHAMMAD ABUGHABUSH
author MOHAMMAD ABUGHABUSH
author2 MOHAMMAD ABUGHABUSH
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publishDate 2025
institution Swansea University
doi_str_mv 10.23889/SUThesis.69266
college_str Faculty of Science and Engineering
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hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Aerospace Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Aerospace Engineering
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description Numerical methods for computational mechanics play a crucial role in understanding complex physical phenomena, particularly in the modelling of Fluid-Structure Interaction (FSI) problems that encompass fluid, solid, and fluid-solid interaction components. As such, there have been continuous efforts to develop numerical frameworks that can handle the inherent complexities of these types of problems while still being able to produce accurate results with reasonably efficient resources. This project investigates meshfree numerical techniques for FSI applications by employing the Improved Element-Free Galerkin (IEFG) method to model both the fluid and solid domains. Unlike conventional mesh- based methods that rely on element connectivity, the meshfree approach uses a cloud of nodes, thereby facilitating the simulation of problems with large deformations and motions. Furthermore, the nonlinear solid dynamics are solved using the alpha method to ensure stable temporal integration. When solving the fluid domain governed by the Navier-Stokes equations with a Galerkin method, numerical instabilities typically arise; these are effectively dealt with here through the well-established Characteristic-Based Split (CBS) scheme, which mitigates spurious oscillations. Additionally, the framework incorporates an extended Immersed Domain Method (IDM) that allows the Lagrangian, meshfree nodes of the solid to interact over a fixed Eulerian fluid domain, ensuring proper tracking of fluid-solid interactions during the simulation. Although the method achieves an accuracy that is comparable to that of the Finite Element Method (FEM), it does not provide significant improvements in computational efficiency in its current computational implementation. Nonetheless, this unified meshfree framework offers a viable alternative for FSI simulations, particularly in scenarios where the challenges of mesh generation and large deformations render conventional FEM less practical.
published_date 2025-03-03T05:27:43Z
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score 11.089407