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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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Published: Swansea 2025
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
first_indexed 2025-12-04T15:12:56Z
last_indexed 2025-12-05T18:13:31Z
id cronfa71088
recordtype RisThesis
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spelling 2025-12-04T15:17:07.9438813 v2 71088 2025-12-04 New Time Integration Schemes for Computational Fluid and Structural Dynamics and Their Application in Staggered Fluid–Structure Interaction Solvers d936eebc2545faa38a1bde8030eda1ac EMAN ALHAYKI EMAN ALHAYKI true false 2025-12-04 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. E-Thesis Swansea Implicit numerical time integration, fluid–structure interaction; staggered solution procedure; partitioned solution procedure 10 11 2025 2025-11-10 10.23889/SUThesis.71088 COLLEGE NANME COLLEGE CODE Swansea University Dettmer, W. G., and Peric, D. Doctoral Ph.D 2025-12-04T15:17:07.9438813 2025-12-04T15:09:37.2342700 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering EMAN ALHAYKI 1 71088__35768__b2969773c46c4fd987d93dcb096d2fd7.pdf 2025_Alhayki_E.final.71088.pdf 2025-12-04T15:12:27.2909084 Output 11467302 application/pdf E-Thesis – open access true Copyright: the author, Eman Alhayki, 2025 true eng
title New Time Integration Schemes for Computational Fluid and Structural Dynamics and Their Application in Staggered Fluid–Structure Interaction Solvers
spellingShingle New Time Integration Schemes for Computational Fluid and Structural Dynamics and Their Application in Staggered Fluid–Structure Interaction Solvers
EMAN ALHAYKI
title_short New Time Integration Schemes for Computational Fluid and Structural Dynamics and Their Application in Staggered Fluid–Structure Interaction Solvers
title_full New Time Integration Schemes for Computational Fluid and Structural Dynamics and Their Application in Staggered Fluid–Structure Interaction Solvers
title_fullStr New Time Integration Schemes for Computational Fluid and Structural Dynamics and Their Application in Staggered Fluid–Structure Interaction Solvers
title_full_unstemmed New Time Integration Schemes for Computational Fluid and Structural Dynamics and Their Application in Staggered Fluid–Structure Interaction Solvers
title_sort New Time Integration Schemes for Computational Fluid and Structural Dynamics and Their Application in Staggered Fluid–Structure Interaction Solvers
author_id_str_mv d936eebc2545faa38a1bde8030eda1ac
author_id_fullname_str_mv d936eebc2545faa38a1bde8030eda1ac_***_EMAN ALHAYKI
author EMAN ALHAYKI
author2 EMAN ALHAYKI
format E-Thesis
publishDate 2025
institution Swansea University
doi_str_mv 10.23889/SUThesis.71088
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 - Civil Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering
document_store_str 1
active_str 0
description 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.
published_date 2025-11-10T05:32:16Z
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score 11.089386

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