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A novel finite-element-based solution and property construction method for thermal problems fromsparse data

Wiera Bielajewa, Michelle Baxter, Perumal Nithiarasu Orcid Logo

International Journal of Numerical Methods for Heat & Fluid Flow, Pages: 1 - 24

Swansea University Authors: Wiera Bielajewa, Perumal Nithiarasu Orcid Logo

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DOI (Published version): 10.1108/hff-03-2025-0209

Abstract

Sparse experimental measurements from diagnostic sensors are often the only source of data available during an experiment. To enable monitoring and control of such experiments (digital twinning) rapidly estimating the full field solution and material properties using sparse data may be useful, espec...

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Published in: International Journal of Numerical Methods for Heat & Fluid Flow
ISSN: 0961-5539 1758-6585
Published: Emerald 2026
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URI: https://cronfa.swan.ac.uk/Record/cronfa70855
first_indexed 2025-11-06T16:59:49Z
last_indexed 2026-01-15T05:28:34Z
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spelling 2026-01-14T14:40:21.4367479 v2 70855 2025-11-06 A novel finite-element-based solution and property construction method for thermal problems fromsparse data aeac9bf0d7f8e1377e32fdf5143713c5 Wiera Bielajewa Wiera Bielajewa true false 3b28bf59358fc2b9bd9a46897dbfc92d 0000-0002-4901-2980 Perumal Nithiarasu Perumal Nithiarasu true false 2025-11-06 Sparse experimental measurements from diagnostic sensors are often the only source of data available during an experiment. To enable monitoring and control of such experiments (digital twinning) rapidly estimating the full field solution and material properties using sparse data may be useful, especiallyunder extreme thermal environments. This paper addresses such a construction procedure using an efficient finite-element-based approach combined with a modified ODIL (Optimizing a DIscrete Loss) concept. A finite element specific regularisation term is added to the loss function to resolve the ill-posedness. The loss function gradients are calculated analytically. The nonlinear material properties are constructed as a piecewise linear function during the temperature change. A sample from fusion energy experimental facility is used as the test case to demonstrate the proposed methodology. The results indicate that near real-time solution construction is possible, which makes this approach suitable for digital twinning. Journal Article International Journal of Numerical Methods for Heat &amp; Fluid Flow 0 1 24 Emerald 0961-5539 1758-6585 1 1 2026 2026-01-01 10.1108/hff-03-2025-0209 COLLEGE NANME COLLEGE CODE Swansea University This work has been part funded by the EPSRC Energy Programme [grant number EP/W006839/1]. The authors acknowledge the support of Supercomputing Wales and AccelerateAI projects, which is part-funded by the European Regional Development Fund (ERDF) via the Welsh Government. Furthermore, the authors gratefully acknowledge NVIDIA Academic Grant Program Award for supporting this research through the NVIDIA RTX 6000 Ada GPU grant. 2026-01-14T14:40:21.4367479 2025-11-06T16:32:32.6974165 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering Wiera Bielajewa 1 Michelle Baxter 2 Perumal Nithiarasu 0000-0002-4901-2980 3 70855__35578__1ebfde450e1f40f4aae467ec5c567a3c.pdf 70855.pdf 2025-11-06T16:58:49.8152949 Output 6944361 application/pdf Accepted Manuscript true Author accepted manuscript document released under the terms of a Creative Commons CC-BY licence using the Swansea University Research Publications Policy (rights retention). true eng https://creativecommons.org/licenses/by/4.0/deed.en
title A novel finite-element-based solution and property construction method for thermal problems fromsparse data
spellingShingle A novel finite-element-based solution and property construction method for thermal problems fromsparse data
Wiera Bielajewa
Perumal Nithiarasu
title_short A novel finite-element-based solution and property construction method for thermal problems fromsparse data
title_full A novel finite-element-based solution and property construction method for thermal problems fromsparse data
title_fullStr A novel finite-element-based solution and property construction method for thermal problems fromsparse data
title_full_unstemmed A novel finite-element-based solution and property construction method for thermal problems fromsparse data
title_sort A novel finite-element-based solution and property construction method for thermal problems fromsparse data
author_id_str_mv aeac9bf0d7f8e1377e32fdf5143713c5
3b28bf59358fc2b9bd9a46897dbfc92d
author_id_fullname_str_mv aeac9bf0d7f8e1377e32fdf5143713c5_***_Wiera Bielajewa
3b28bf59358fc2b9bd9a46897dbfc92d_***_Perumal Nithiarasu
author Wiera Bielajewa
Perumal Nithiarasu
author2 Wiera Bielajewa
Michelle Baxter
Perumal Nithiarasu
format Journal article
container_title International Journal of Numerical Methods for Heat &amp; Fluid Flow
container_volume 0
container_start_page 1
publishDate 2026
institution Swansea University
issn 0961-5539
1758-6585
doi_str_mv 10.1108/hff-03-2025-0209
publisher Emerald
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 1
active_str 0
description Sparse experimental measurements from diagnostic sensors are often the only source of data available during an experiment. To enable monitoring and control of such experiments (digital twinning) rapidly estimating the full field solution and material properties using sparse data may be useful, especiallyunder extreme thermal environments. This paper addresses such a construction procedure using an efficient finite-element-based approach combined with a modified ODIL (Optimizing a DIscrete Loss) concept. A finite element specific regularisation term is added to the loss function to resolve the ill-posedness. The loss function gradients are calculated analytically. The nonlinear material properties are constructed as a piecewise linear function during the temperature change. A sample from fusion energy experimental facility is used as the test case to demonstrate the proposed methodology. The results indicate that near real-time solution construction is possible, which makes this approach suitable for digital twinning.
published_date 2026-01-01T05:33:47Z
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score 11.096172

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