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A domain decomposition method for the non-intrusive reduced order modelling of fluid flow

D. Xiao, F. Fang, C.E. Heaney, I.M. Navon, C.C. Pain, Dunhui Xiao Orcid Logo

Computer Methods in Applied Mechanics and Engineering, Volume: 354, Pages: 307 - 330

Swansea University Author: Dunhui Xiao Orcid Logo

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DOI (Published version): 10.1016/j.cma.2019.05.039

Abstract

In this paper we present a new domain decomposition non-intrusive reduced order model (DDNIROM) for the Navier–Stokes equations. The computational domain is partitioned into subdomains and a set of local basis functions is constructed in each subdomain using Proper Orthogonal Decomposition (POD). A...

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Published in: Computer Methods in Applied Mechanics and Engineering
ISSN: 0045-7825
Published: 2019
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URI: https://cronfa.swan.ac.uk/Record/cronfa51800
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spelling 2019-10-11T09:57:58.5742291 v2 51800 2019-09-11 A domain decomposition method for the non-intrusive reduced order modelling of fluid flow 62c69b98cbcdc9142622d4f398fdab97 0000-0003-2461-523X Dunhui Xiao Dunhui Xiao true false 2019-09-11 AERO In this paper we present a new domain decomposition non-intrusive reduced order model (DDNIROM) for the Navier–Stokes equations. The computational domain is partitioned into subdomains and a set of local basis functions is constructed in each subdomain using Proper Orthogonal Decomposition (POD). A radial basis function (RBF) method is then used to generate a set of hypersurfaces for each subdomain. Each local hypersurface represents, not only the fluid dynamics over the subdomain to which it belongs, but also the interactions with the surrounding subdomains. This implicit coupling between the subdomains provides the global coupling necessary to enforce incompressibility and is a means of providing boundary conditions for each subdomain.The performance of this DDNIROM is illustrated numerically by three examples: flow past a cylinder, and air flow over 2D and 3D street canyons. The results show that the DDNIROM exhibits good agreement with the high-fidelity full model while the computational cost is reduced by several orders of magnitude. The domain decomposition (DD) method provides the flexibility to choose different numbers of local basis functions for each subdomain depending on the complexity of the flow therein. The fact that the RBF surface representation takes input only from its current subdomain and the surrounding subdomains, means that, crucially, there is a reduction in the dimensionality of the hypersurface when compared with a more traditional, global NIROM. This comes at the cost of having a larger number of hypersurfaces. Journal Article Computer Methods in Applied Mechanics and Engineering 354 307 330 0045-7825 Domain decomposition, Reduced order modelling, Non-intrusive, Proper orthogonal decomposition 1 9 2019 2019-09-01 10.1016/j.cma.2019.05.039 COLLEGE NANME Aerospace Engineering COLLEGE CODE AERO Swansea University 2019-10-11T09:57:58.5742291 2019-09-11T22:15:09.1791039 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Aerospace Engineering D. Xiao 1 F. Fang 2 C.E. Heaney 3 I.M. Navon 4 C.C. Pain 5 Dunhui Xiao 0000-0003-2461-523X 6
title A domain decomposition method for the non-intrusive reduced order modelling of fluid flow
spellingShingle A domain decomposition method for the non-intrusive reduced order modelling of fluid flow
Dunhui Xiao
title_short A domain decomposition method for the non-intrusive reduced order modelling of fluid flow
title_full A domain decomposition method for the non-intrusive reduced order modelling of fluid flow
title_fullStr A domain decomposition method for the non-intrusive reduced order modelling of fluid flow
title_full_unstemmed A domain decomposition method for the non-intrusive reduced order modelling of fluid flow
title_sort A domain decomposition method for the non-intrusive reduced order modelling of fluid flow
author_id_str_mv 62c69b98cbcdc9142622d4f398fdab97
author_id_fullname_str_mv 62c69b98cbcdc9142622d4f398fdab97_***_Dunhui Xiao
author Dunhui Xiao
author2 D. Xiao
F. Fang
C.E. Heaney
I.M. Navon
C.C. Pain
Dunhui Xiao
format Journal article
container_title Computer Methods in Applied Mechanics and Engineering
container_volume 354
container_start_page 307
publishDate 2019
institution Swansea University
issn 0045-7825
doi_str_mv 10.1016/j.cma.2019.05.039
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 0
active_str 0
description In this paper we present a new domain decomposition non-intrusive reduced order model (DDNIROM) for the Navier–Stokes equations. The computational domain is partitioned into subdomains and a set of local basis functions is constructed in each subdomain using Proper Orthogonal Decomposition (POD). A radial basis function (RBF) method is then used to generate a set of hypersurfaces for each subdomain. Each local hypersurface represents, not only the fluid dynamics over the subdomain to which it belongs, but also the interactions with the surrounding subdomains. This implicit coupling between the subdomains provides the global coupling necessary to enforce incompressibility and is a means of providing boundary conditions for each subdomain.The performance of this DDNIROM is illustrated numerically by three examples: flow past a cylinder, and air flow over 2D and 3D street canyons. The results show that the DDNIROM exhibits good agreement with the high-fidelity full model while the computational cost is reduced by several orders of magnitude. The domain decomposition (DD) method provides the flexibility to choose different numbers of local basis functions for each subdomain depending on the complexity of the flow therein. The fact that the RBF surface representation takes input only from its current subdomain and the surrounding subdomains, means that, crucially, there is a reduction in the dimensionality of the hypersurface when compared with a more traditional, global NIROM. This comes at the cost of having a larger number of hypersurfaces.
published_date 2019-09-01T04:03:48Z
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score 11.013082

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