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New implicit time integration schemes combining high frequency damping with high second order accuracy

Wulf Dettmer Orcid Logo, Eman Alhayki

Journal of Computational Physics, Volume: 514, Start page: 113260

Swansea University Authors: Wulf Dettmer Orcid Logo, Eman Alhayki

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DOI (Published version): 10.1016/j.jcp.2024.113260

Abstract

It is shown that weighted linear combinations of the generalised-α method and certain related higher order schemes allow for the formulation of unconditionally stable single step time integration methods with improved second order accuracy and more targeted high-frequency damping. It is also shown t...

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Published in: Journal of Computational Physics
ISSN: 0021-9991
Published: Elsevier BV 2024
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URI: https://cronfa.swan.ac.uk/Record/cronfa67063
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first_indexed 2024-07-10T14:52:32Z
last_indexed 2024-07-10T14:52:32Z
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spelling v2 67063 2024-07-10 New implicit time integration schemes combining high frequency damping with high second order accuracy 30bb53ad906e7160e947fa01c16abf55 0000-0003-0799-4645 Wulf Dettmer Wulf Dettmer true false db757f30fedab6cac23906a0eabf3a52 Eman Alhayki Eman Alhayki true false 2024-07-10 ACEM It is shown that weighted linear combinations of the generalised-α method and certain related higher order schemes allow for the formulation of unconditionally stable single step time integration methods with improved second order accuracy and more targeted high-frequency damping. It is also shown that, if the user controlled high frequency damping parameter is set to zero, the new schemes can be expressed as linear multistep backward difference formulae and, in a particular case, recover Park's method. The performance of the proposed methods is illustrated in terms of mathematical analysis and a number of linear and nonlinear numerical examples including finite element based solutions of the incompressible Navier-Stokes equations. Journal Article Journal of Computational Physics 514 113260 Elsevier BV 0021-9991 Implicit numerical time integration; Generalised-α method; Backward difference formulae; Unconditional stability; Accuracy 1 10 2024 2024-10-01 10.1016/j.jcp.2024.113260 COLLEGE NANME Aerospace, Civil, Electrical, and Mechanical Engineering COLLEGE CODE ACEM Swansea University SU Library paid the OA fee (TA Institutional Deal) Swansea University 2024-08-01T15:30:07.4420609 2024-07-10T15:49:50.0520696 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Aerospace Engineering Wulf Dettmer 0000-0003-0799-4645 1 Eman Alhayki 2 67063__31029__7971c8479e1b4c5e904c2daa19db0d05.pdf 67063.VoR.pdf 2024-08-01T15:28:32.1050676 Output 1702111 application/pdf Version of Record true © 2024 The Author(s). This is an open access article under the CC BY license. true eng http://creativecommons.org/licenses/by/4.0/).
title New implicit time integration schemes combining high frequency damping with high second order accuracy
spellingShingle New implicit time integration schemes combining high frequency damping with high second order accuracy
Wulf Dettmer
Eman Alhayki
title_short New implicit time integration schemes combining high frequency damping with high second order accuracy
title_full New implicit time integration schemes combining high frequency damping with high second order accuracy
title_fullStr New implicit time integration schemes combining high frequency damping with high second order accuracy
title_full_unstemmed New implicit time integration schemes combining high frequency damping with high second order accuracy
title_sort New implicit time integration schemes combining high frequency damping with high second order accuracy
author_id_str_mv 30bb53ad906e7160e947fa01c16abf55
db757f30fedab6cac23906a0eabf3a52
author_id_fullname_str_mv 30bb53ad906e7160e947fa01c16abf55_***_Wulf Dettmer
db757f30fedab6cac23906a0eabf3a52_***_Eman Alhayki
author Wulf Dettmer
Eman Alhayki
author2 Wulf Dettmer
Eman Alhayki
format Journal article
container_title Journal of Computational Physics
container_volume 514
container_start_page 113260
publishDate 2024
institution Swansea University
issn 0021-9991
doi_str_mv 10.1016/j.jcp.2024.113260
publisher Elsevier BV
college_str Faculty of Science and Engineering
hierarchytype
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
document_store_str 1
active_str 0
description It is shown that weighted linear combinations of the generalised-α method and certain related higher order schemes allow for the formulation of unconditionally stable single step time integration methods with improved second order accuracy and more targeted high-frequency damping. It is also shown that, if the user controlled high frequency damping parameter is set to zero, the new schemes can be expressed as linear multistep backward difference formulae and, in a particular case, recover Park's method. The performance of the proposed methods is illustrated in terms of mathematical analysis and a number of linear and nonlinear numerical examples including finite element based solutions of the incompressible Navier-Stokes equations.
published_date 2024-10-01T15:30:07Z
_version_ 1806195865449136128
score 11.035349

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