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Nonintrusive proper generalised decomposition for parametrised incompressible flow problems in OpenFOAM

Vasileios Tsiolakis, Matteo Giacomini, Rubén Sevilla Orcid Logo, Carsten Othmer, Antonio Huerta

Computer Physics Communications, Volume: 249, Start page: 107013

Swansea University Author: Rubén Sevilla Orcid Logo

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Abstract

The computational cost of parametric studies currently represents the major limitation to the application of simulation-based engineering techniques in a daily industrial environment. This work presents the first nonintrusive implementation of the proper generalised decomposition (PGD) in OpenFOAM,...

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Published in: Computer Physics Communications
ISSN: 0010-4655
Published: Elsevier BV 2020
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URI: https://cronfa.swan.ac.uk/Record/cronfa52617
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spelling 2020-11-06T16:55:37.3394262 v2 52617 2019-10-31 Nonintrusive proper generalised decomposition for parametrised incompressible flow problems in OpenFOAM b542c87f1b891262844e95a682f045b6 0000-0002-0061-6214 Rubén Sevilla Rubén Sevilla true false 2019-10-31 CIVL The computational cost of parametric studies currently represents the major limitation to the application of simulation-based engineering techniques in a daily industrial environment. This work presents the first nonintrusive implementation of the proper generalised decomposition (PGD) in OpenFOAM, for the approximation of parametrised laminar incompressible Navier–Stokes equations. The key feature of this approach is the seamless integration of a reduced order model (ROM) in the framework of an industrially validated computational fluid dynamics software. This is of special importance in an industrial environment because in the online phase of the PGD ROM the description of the flow for a specific set of parameters is obtained simply via interpolation of the generalised solution, without the need of any extra solution step. On the one hand, the spatial problems arising from the PGD separation of the unknowns are treated using the classical solution strategies of OpenFOAM, namely the semi-implicit method for pressure linked equations (SIMPLE) algorithm. On the other hand, the parametric iteration is solved via a collocation approach. The resulting ROM is applied to several benchmark tests of laminar incompressible Navier–Stokes flows, in two and three dimensions, with different parameters affecting the flow features. Eventually, the capability of the proposed strategy to treat industrial problems is verified by applying the methodology to a parametrised flow control in a realistic geometry of interest for the automotive industry. Journal Article Computer Physics Communications 249 107013 Elsevier BV 0010-4655 Reduced order models; Proper generalised decomposition; Finite volume; Incompressible laminar Navier–Stokes; Pressure Poisson equation; Parametrised flows; OpenFOAM; Nonintrusiveness 1 4 2020 2020-04-01 10.1016/j.cpc.2019.107013 COLLEGE NANME Civil Engineering COLLEGE CODE CIVL Swansea University 2020-11-06T16:55:37.3394262 2019-10-31T09:40:47.7613374 Professional Services ISS - Uncategorised Vasileios Tsiolakis 1 Matteo Giacomini 2 Rubén Sevilla 0000-0002-0061-6214 3 Carsten Othmer 4 Antonio Huerta 5 52617__15761__4de23a5b1f454d0b95e9412563bcf5cf.pdf tsiolakis2019.pdf 2019-10-31T12:01:49.2980029 Output 14031053 application/pdf Accepted Manuscript true 2020-11-06T00:00:00.0000000 Released under the terms of a Creative Commons Attribution Non-Commercial No Derivatives License (CC-BY-NC-ND). true eng http://creativecommons.org/licenses/by-nc-nd/4.0/
title Nonintrusive proper generalised decomposition for parametrised incompressible flow problems in OpenFOAM
spellingShingle Nonintrusive proper generalised decomposition for parametrised incompressible flow problems in OpenFOAM
Rubén Sevilla
title_short Nonintrusive proper generalised decomposition for parametrised incompressible flow problems in OpenFOAM
title_full Nonintrusive proper generalised decomposition for parametrised incompressible flow problems in OpenFOAM
title_fullStr Nonintrusive proper generalised decomposition for parametrised incompressible flow problems in OpenFOAM
title_full_unstemmed Nonintrusive proper generalised decomposition for parametrised incompressible flow problems in OpenFOAM
title_sort Nonintrusive proper generalised decomposition for parametrised incompressible flow problems in OpenFOAM
author_id_str_mv b542c87f1b891262844e95a682f045b6
author_id_fullname_str_mv b542c87f1b891262844e95a682f045b6_***_Rubén Sevilla
author Rubén Sevilla
author2 Vasileios Tsiolakis
Matteo Giacomini
Rubén Sevilla
Carsten Othmer
Antonio Huerta
format Journal article
container_title Computer Physics Communications
container_volume 249
container_start_page 107013
publishDate 2020
institution Swansea University
issn 0010-4655
doi_str_mv 10.1016/j.cpc.2019.107013
publisher Elsevier BV
college_str Professional Services
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hierarchy_top_title Professional Services
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hierarchy_parent_title Professional Services
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description The computational cost of parametric studies currently represents the major limitation to the application of simulation-based engineering techniques in a daily industrial environment. This work presents the first nonintrusive implementation of the proper generalised decomposition (PGD) in OpenFOAM, for the approximation of parametrised laminar incompressible Navier–Stokes equations. The key feature of this approach is the seamless integration of a reduced order model (ROM) in the framework of an industrially validated computational fluid dynamics software. This is of special importance in an industrial environment because in the online phase of the PGD ROM the description of the flow for a specific set of parameters is obtained simply via interpolation of the generalised solution, without the need of any extra solution step. On the one hand, the spatial problems arising from the PGD separation of the unknowns are treated using the classical solution strategies of OpenFOAM, namely the semi-implicit method for pressure linked equations (SIMPLE) algorithm. On the other hand, the parametric iteration is solved via a collocation approach. The resulting ROM is applied to several benchmark tests of laminar incompressible Navier–Stokes flows, in two and three dimensions, with different parameters affecting the flow features. Eventually, the capability of the proposed strategy to treat industrial problems is verified by applying the methodology to a parametrised flow control in a realistic geometry of interest for the automotive industry.
published_date 2020-04-01T03:58:49Z
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