E-Thesis 45 views 44 downloads
New Time Integration Schemes for Computational Fluid and Structural Dynamics and Their Application in Staggered Fluid–Structure Interaction Solvers / EMAN ALHAYKI
Swansea University Author: EMAN ALHAYKI
DOI (Published version): 10.23889/SUThesis.71088
Abstract
Implicit time integration schemes are widely used in computational science and engineering, yet improving their accuracy and high-frequency damping characteristics remains an active area of research. This thesis introduces a novel family of implicit time integration schemes suitable for both first or...
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Swansea
2025
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| Institution: | Swansea University |
| Degree level: | Doctoral |
| Degree name: | Ph.D |
| Supervisor: | Dettmer, W. G., and Peric, D. |
| URI: | https://cronfa.swan.ac.uk/Record/cronfa71088 |
| Abstract: |
Implicit time integration schemes are widely used in computational science and engineering, yet improving their accuracy and high-frequency damping characteristics remains an active area of research. This thesis introduces a novel family of implicit time integration schemes suitable for both first order and second order systems. The schemes are constructed as linear combinations of the well-known generalised- method and its higher order extensions. The weighting of each component is determined using the Jury stability criterion, ensuring that the resulting methods are unconditionally stable. In addition to stability, the proposed methods offer improved second order accuracy and enhanced control over high-frequency numerical dissipation. Subsequently, the newly formulated implicit schemes are applied in the context of computational fluid structure interaction and a family of staggered Dirichlet-Neumann coupling schemes is presented. The methods incorporate an enhanced second order predictor, developed using a strategy analogous to that employed in the formulation of the implicit schemes, and include a relaxation step to improve stability. Furthermore, a non-iterative -cycle version of the staggered scheme is introduced, in which a predefined number of computational cycles is performed at each time step. The stability and accuracy of the proposed methods are analysed using a linear model problem involving a thin-walled elastic tube conveying fluid. Further validation is provided through a number of benchmark examples, demonstrating that the schemes are suitable for a wide range of added-mass cases. |
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| Keywords: |
Implicit numerical time integration, fluid–structure interaction; staggered solution procedure; partitioned solution procedure |
| College: |
Faculty of Science and Engineering |