E-Thesis 36 views
Development of an improved element-free Galerkin framework for immersed fluid-structure interaction problems / MOHAMMAD ABUGHABUSH
Swansea University Author: MOHAMMAD ABUGHABUSH
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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Swansea University, Wales, UK
2025
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| Institution: | Swansea University |
| Degree level: | Doctoral |
| Degree name: | Ph.D |
| Supervisor: | Ademiloye, A, and Nithiarasu, P. |
| URI: | https://cronfa.swan.ac.uk/Record/cronfa69266 |
| 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 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. |
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| Item Description: |
A selection of content is redacted or is partially redacted from this thesis to protect sensitive and personal information. |
| Keywords: |
Meshfree, Improved Moving Least-Squares, Transformation Method, Immersed Fluid-Structure Interaction, Characteristic-Based Split, Alpha method |
| College: |
Faculty of Science and Engineering |