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Accelerating incompressible flow calculations using a quasi-implicit scheme: local and dual time stepping approaches

RLT Bevan, Perumal Nithiarasu Orcid Logo

COMPUTATIONAL MECHANICS, Volume: 50, Pages: 687 - 693

Swansea University Author: Perumal Nithiarasu Orcid Logo

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DOI (Published version): 10.1007/s00466-012-0767-x

Abstract

In this paper, a local time stepping approach is proposed for incompressible flow calculations using a quasi-implicit time discretization. Since the non-linear convection term is treated explicitly by this discretization, the convective part of the time step limit still applies. To effectively manag...

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Published in: COMPUTATIONAL MECHANICS
Published: 2012
URI: https://cronfa.swan.ac.uk/Record/cronfa20241
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spelling 2015-03-02T13:26:58.2941051 v2 20241 2015-03-02 Accelerating incompressible flow calculations using a quasi-implicit scheme: local and dual time stepping approaches 3b28bf59358fc2b9bd9a46897dbfc92d 0000-0002-4901-2980 Perumal Nithiarasu Perumal Nithiarasu true false 2015-03-02 CIVL In this paper, a local time stepping approach is proposed for incompressible flow calculations using a quasi-implicit time discretization. Since the non-linear convection term is treated explicitly by this discretization, the convective part of the time step limit still applies. To effectively manage the convection stability limit, the locally calculated time step values are employed. These local time step values are calculated for elements, rather than on nodes to avoid unsymmetric matrices. To avoid any adverse impact of local time stepping on the transient solution, a dual time stepping approach is employed for time dependent problems. The results clearly show that a speed up of more than five times is possible using the local time stepping approach. Although the proposed local time stepping approach is employed for a finite element based spatial discretization, it is applicable to any other form of spatial discretization. Journal Article COMPUTATIONAL MECHANICS 50 687 693 31 12 2012 2012-12-31 10.1007/s00466-012-0767-x COLLEGE NANME Civil Engineering COLLEGE CODE CIVL Swansea University 2015-03-02T13:26:58.2941051 2015-03-02T13:26:28.1237051 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering RLT Bevan 1 Perumal Nithiarasu 0000-0002-4901-2980 2
title Accelerating incompressible flow calculations using a quasi-implicit scheme: local and dual time stepping approaches
spellingShingle Accelerating incompressible flow calculations using a quasi-implicit scheme: local and dual time stepping approaches
Perumal Nithiarasu
title_short Accelerating incompressible flow calculations using a quasi-implicit scheme: local and dual time stepping approaches
title_full Accelerating incompressible flow calculations using a quasi-implicit scheme: local and dual time stepping approaches
title_fullStr Accelerating incompressible flow calculations using a quasi-implicit scheme: local and dual time stepping approaches
title_full_unstemmed Accelerating incompressible flow calculations using a quasi-implicit scheme: local and dual time stepping approaches
title_sort Accelerating incompressible flow calculations using a quasi-implicit scheme: local and dual time stepping approaches
author_id_str_mv 3b28bf59358fc2b9bd9a46897dbfc92d
author_id_fullname_str_mv 3b28bf59358fc2b9bd9a46897dbfc92d_***_Perumal Nithiarasu
author Perumal Nithiarasu
author2 RLT Bevan
Perumal Nithiarasu
format Journal article
container_title COMPUTATIONAL MECHANICS
container_volume 50
container_start_page 687
publishDate 2012
institution Swansea University
doi_str_mv 10.1007/s00466-012-0767-x
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 - Civil Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering
document_store_str 0
active_str 0
description In this paper, a local time stepping approach is proposed for incompressible flow calculations using a quasi-implicit time discretization. Since the non-linear convection term is treated explicitly by this discretization, the convective part of the time step limit still applies. To effectively manage the convection stability limit, the locally calculated time step values are employed. These local time step values are calculated for elements, rather than on nodes to avoid unsymmetric matrices. To avoid any adverse impact of local time stepping on the transient solution, a dual time stepping approach is employed for time dependent problems. The results clearly show that a speed up of more than five times is possible using the local time stepping approach. Although the proposed local time stepping approach is employed for a finite element based spatial discretization, it is applicable to any other form of spatial discretization.
published_date 2012-12-31T03:23:51Z
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score 10.997637

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