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Non-intrusive reduced-order modeling for multiphase porous media flows using Smolyak sparse grids

Dunhui Xiao Orcid Logo, Zhi Lin, Fangxin Fang, Christopher C. Pain, Ionel M. Navon, Pablo Salinas, Ann Muggeridge

International Journal for Numerical Methods in Fluids, Volume: 83, Issue: 2, Pages: 205 - 219

Swansea University Author: Dunhui Xiao Orcid Logo

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DOI (Published version): 10.1002/fld.4263

Abstract

In this article, we describe a non‐intrusive reduction method for porous media multiphase flows using Smolyak sparse grids. This is the first attempt at applying such an non‐intrusive reduced‐order modelling (NIROM) based on Smolyak sparse grids to porous media multiphase flows. The advantage of thi...

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Published in: International Journal for Numerical Methods in Fluids
ISSN: 0271-2091
Published: 2017
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URI: https://cronfa.swan.ac.uk/Record/cronfa46454
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first_indexed 2018-12-06T20:27:45Z
last_indexed 2023-01-11T14:23:17Z
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spelling 2022-09-27T17:05:30.2939815 v2 46454 2018-12-06 Non-intrusive reduced-order modeling for multiphase porous media flows using Smolyak sparse grids 62c69b98cbcdc9142622d4f398fdab97 0000-0003-2461-523X Dunhui Xiao Dunhui Xiao true false 2018-12-06 AERO In this article, we describe a non‐intrusive reduction method for porous media multiphase flows using Smolyak sparse grids. This is the first attempt at applying such an non‐intrusive reduced‐order modelling (NIROM) based on Smolyak sparse grids to porous media multiphase flows. The advantage of this NIROM for porous media multiphase flows resides in that its non‐intrusiveness, which means it does not require modifications to the source code of full model. Another novelty is that it uses Smolyak sparse grids to construct a set of hypersurfaces representing the reduced‐porous media multiphase problem. This NIROM is implemented under the framework of an unstructured mesh control volume finite element multiphase model. Numerical examples show that the NIROM accuracy relative to the high‐fidelity model is maintained, whilst the computational cost is reduced by several orders of magnitude. Journal Article International Journal for Numerical Methods in Fluids 83 2 205 219 0271-2091 20 1 2017 2017-01-20 10.1002/fld.4263 COLLEGE NANME Aerospace Engineering COLLEGE CODE AERO Swansea University 2022-09-27T17:05:30.2939815 2018-12-06T14:52:13.1476535 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Aerospace Engineering Dunhui Xiao 0000-0003-2461-523X 1 Zhi Lin 2 Fangxin Fang 3 Christopher C. Pain 4 Ionel M. Navon 5 Pablo Salinas 6 Ann Muggeridge 7
title Non-intrusive reduced-order modeling for multiphase porous media flows using Smolyak sparse grids
spellingShingle Non-intrusive reduced-order modeling for multiphase porous media flows using Smolyak sparse grids
Dunhui Xiao
title_short Non-intrusive reduced-order modeling for multiphase porous media flows using Smolyak sparse grids
title_full Non-intrusive reduced-order modeling for multiphase porous media flows using Smolyak sparse grids
title_fullStr Non-intrusive reduced-order modeling for multiphase porous media flows using Smolyak sparse grids
title_full_unstemmed Non-intrusive reduced-order modeling for multiphase porous media flows using Smolyak sparse grids
title_sort Non-intrusive reduced-order modeling for multiphase porous media flows using Smolyak sparse grids
author_id_str_mv 62c69b98cbcdc9142622d4f398fdab97
author_id_fullname_str_mv 62c69b98cbcdc9142622d4f398fdab97_***_Dunhui Xiao
author Dunhui Xiao
author2 Dunhui Xiao
Zhi Lin
Fangxin Fang
Christopher C. Pain
Ionel M. Navon
Pablo Salinas
Ann Muggeridge
format Journal article
container_title International Journal for Numerical Methods in Fluids
container_volume 83
container_issue 2
container_start_page 205
publishDate 2017
institution Swansea University
issn 0271-2091
doi_str_mv 10.1002/fld.4263
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 article, we describe a non‐intrusive reduction method for porous media multiphase flows using Smolyak sparse grids. This is the first attempt at applying such an non‐intrusive reduced‐order modelling (NIROM) based on Smolyak sparse grids to porous media multiphase flows. The advantage of this NIROM for porous media multiphase flows resides in that its non‐intrusiveness, which means it does not require modifications to the source code of full model. Another novelty is that it uses Smolyak sparse grids to construct a set of hypersurfaces representing the reduced‐porous media multiphase problem. This NIROM is implemented under the framework of an unstructured mesh control volume finite element multiphase model. Numerical examples show that the NIROM accuracy relative to the high‐fidelity model is maintained, whilst the computational cost is reduced by several orders of magnitude.
published_date 2017-01-20T03:58:02Z
_version_ 1763752943258959872
score 11.013417

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