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Robust Finite Element Approaches to Systemic Circulation Using the Locally Conservative Galerkin (LCG) Method

Hayder M. Hasan, P. Nithiarasu, Perumal Nithiarasu Orcid Logo

Proceedings of the Indian National Science Academy, Volume: 82, Issue: 2

Swansea University Author: Perumal Nithiarasu Orcid Logo

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DOI (Published version): 10.16943/ptinsa/2016/48410

Abstract

In this paper novel finite element algorithms for robustly solving flow equations of asystemic circulation are presented and compared. A novel, Locally Conservative Galerkin (LCG)method is developed by adopting semi- and fully- implicit time discretisations to address the behaviourof blood flow in t...

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Published in: Proceedings of the Indian National Science Academy
ISSN: 0370-0046
Published: 2016
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URI: https://cronfa.swan.ac.uk/Record/cronfa28886
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spelling 2016-10-05T15:58:46.4793268 v2 28886 2016-06-15 Robust Finite Element Approaches to Systemic Circulation Using the Locally Conservative Galerkin (LCG) Method 3b28bf59358fc2b9bd9a46897dbfc92d 0000-0002-4901-2980 Perumal Nithiarasu Perumal Nithiarasu true false 2016-06-15 CIVL In this paper novel finite element algorithms for robustly solving flow equations of asystemic circulation are presented and compared. A novel, Locally Conservative Galerkin (LCG)method is developed by adopting semi- and fully- implicit time discretisations to address the behaviourof blood flow in the human circulatory system. These techniques are efficient for nonlinearsystem of equations used in blood flow models and achieve rapid convergence. Severalcomparisons are made between the methods to demonstrate the validity and stability of the currentnumerical models to solve the blood flow characteristics in a human body. Journal Article Proceedings of the Indian National Science Academy 82 2 0370-0046 finite element, blood flow, systemic circulation 31 12 2016 2016-12-31 10.16943/ptinsa/2016/48410 http://www.insajournals.in/insaj/index.php/proceedings/article/view/89/0 COLLEGE NANME Civil Engineering COLLEGE CODE CIVL Swansea University 2016-10-05T15:58:46.4793268 2016-06-15T11:23:19.7376531 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering Hayder M. Hasan 1 P. Nithiarasu 2 Perumal Nithiarasu 0000-0002-4901-2980 3 0028886-15062016112500.pdf mumbai-final-draft.pdf 2016-06-15T11:25:00.2800000 Output 1566054 application/pdf Accepted Manuscript true 2016-06-15T00:00:00.0000000 false
title Robust Finite Element Approaches to Systemic Circulation Using the Locally Conservative Galerkin (LCG) Method
spellingShingle Robust Finite Element Approaches to Systemic Circulation Using the Locally Conservative Galerkin (LCG) Method
Perumal Nithiarasu
title_short Robust Finite Element Approaches to Systemic Circulation Using the Locally Conservative Galerkin (LCG) Method
title_full Robust Finite Element Approaches to Systemic Circulation Using the Locally Conservative Galerkin (LCG) Method
title_fullStr Robust Finite Element Approaches to Systemic Circulation Using the Locally Conservative Galerkin (LCG) Method
title_full_unstemmed Robust Finite Element Approaches to Systemic Circulation Using the Locally Conservative Galerkin (LCG) Method
title_sort Robust Finite Element Approaches to Systemic Circulation Using the Locally Conservative Galerkin (LCG) Method
author_id_str_mv 3b28bf59358fc2b9bd9a46897dbfc92d
author_id_fullname_str_mv 3b28bf59358fc2b9bd9a46897dbfc92d_***_Perumal Nithiarasu
author Perumal Nithiarasu
author2 Hayder M. Hasan
P. Nithiarasu
Perumal Nithiarasu
format Journal article
container_title Proceedings of the Indian National Science Academy
container_volume 82
container_issue 2
publishDate 2016
institution Swansea University
issn 0370-0046
doi_str_mv 10.16943/ptinsa/2016/48410
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
url http://www.insajournals.in/insaj/index.php/proceedings/article/view/89/0
document_store_str 1
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description In this paper novel finite element algorithms for robustly solving flow equations of asystemic circulation are presented and compared. A novel, Locally Conservative Galerkin (LCG)method is developed by adopting semi- and fully- implicit time discretisations to address the behaviourof blood flow in the human circulatory system. These techniques are efficient for nonlinearsystem of equations used in blood flow models and achieve rapid convergence. Severalcomparisons are made between the methods to demonstrate the validity and stability of the currentnumerical models to solve the blood flow characteristics in a human body.
published_date 2016-12-31T03:35:15Z
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score 11.013082

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