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A benchmark study of numerical schemes for one-dimensional arterial blood flow modelling

Etienne Boileau, Perumal Nithiarasu Orcid Logo, Pablo J Blanco, Lucas O. Müller, Fredrik Eikeland Fossan, Leif Rune Hellevik, Wouter P. Donders, Wouter Huberts, Marie Willemet, Jordi Alastruey

International Journal for Numerical Methods in Biomedical Engineering

Swansea University Author: Perumal Nithiarasu Orcid Logo

DOI (Published version): 10.1002/cnm.2732

Abstract

Hæmodynamical simulations using one-dimensional (1-D) computational models exhibit many of the features of the systemic circulation under normal and diseased conditions. Recent interest in verifying 1-D numerical schemes has led to the development of alternative experimental setups and the use of 3-...

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Published in: International Journal for Numerical Methods in Biomedical Engineering
Published: 2015
URI: https://cronfa.swan.ac.uk/Record/cronfa22154
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spelling 2019-05-31T11:06:09.8998643 v2 22154 2015-06-24 A benchmark study of numerical schemes for one-dimensional arterial blood flow modelling 3b28bf59358fc2b9bd9a46897dbfc92d 0000-0002-4901-2980 Perumal Nithiarasu Perumal Nithiarasu true false 2015-06-24 CIVL Hæmodynamical simulations using one-dimensional (1-D) computational models exhibit many of the features of the systemic circulation under normal and diseased conditions. Recent interest in verifying 1-D numerical schemes has led to the development of alternative experimental setups and the use of 3-D numerical models to acquire data not easily measured in vivo. In most studies to date, only one particular 1-D scheme is tested. In this paper we present a systematic comparison of six commonly used numerical schemes for 1-D blood flow modelling: discontinuous Galerkin (DCG), locally conservative Galerkin (LCG), Galerkin least-squares finite element method (FEM), finite volume method (FVM), finite difference MacCormack method (McC), and a simplified trapezium rule method (STM). Comparisons are made in a series of six benchmark test cases with an increasing degree of complexity. The accuracy of the numerical schemes is assessed by comparison against theoretical results, 3-D numerical data in compatible domains with distensible walls, or experimental data in a network of silicone tubes. Results show a good agreement among all numerical schemes and their ability to capture the main features of pressure, flow and area waveforms in large arteries. All the information used in this study, including the input data for all benchmark cases, experimental data where available, and numerical solutions for each scheme, is made publicly available online, providing a comprehensive reference data set to support the development of 1-D models and numerical schemes. This article is protected by copyright. All rights reserved. Journal Article International Journal for Numerical Methods in Biomedical Engineering 23 6 2015 2015-06-23 10.1002/cnm.2732 COLLEGE NANME Civil Engineering COLLEGE CODE CIVL Swansea University 2019-05-31T11:06:09.8998643 2015-06-24T18:39:51.8562388 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering Etienne Boileau 1 Perumal Nithiarasu 0000-0002-4901-2980 2 Pablo J Blanco 3 Lucas O. Müller 4 Fredrik Eikeland Fossan 5 Leif Rune Hellevik 6 Wouter P. Donders 7 Wouter Huberts 8 Marie Willemet 9 Jordi Alastruey 10 0022154-24062016154300.pdf s1-ln20692478-1839261096-1939656818Hwf121909388IdV81519889720692478PDF_HI0001.pdf 2015-06-24T18:51:20.9230000 Output 2777678 application/pdf Accepted Manuscript true 2016-06-24T00:00:00.0000000 true
title A benchmark study of numerical schemes for one-dimensional arterial blood flow modelling
spellingShingle A benchmark study of numerical schemes for one-dimensional arterial blood flow modelling
Perumal Nithiarasu
title_short A benchmark study of numerical schemes for one-dimensional arterial blood flow modelling
title_full A benchmark study of numerical schemes for one-dimensional arterial blood flow modelling
title_fullStr A benchmark study of numerical schemes for one-dimensional arterial blood flow modelling
title_full_unstemmed A benchmark study of numerical schemes for one-dimensional arterial blood flow modelling
title_sort A benchmark study of numerical schemes for one-dimensional arterial blood flow modelling
author_id_str_mv 3b28bf59358fc2b9bd9a46897dbfc92d
author_id_fullname_str_mv 3b28bf59358fc2b9bd9a46897dbfc92d_***_Perumal Nithiarasu
author Perumal Nithiarasu
author2 Etienne Boileau
Perumal Nithiarasu
Pablo J Blanco
Lucas O. Müller
Fredrik Eikeland Fossan
Leif Rune Hellevik
Wouter P. Donders
Wouter Huberts
Marie Willemet
Jordi Alastruey
format Journal article
container_title International Journal for Numerical Methods in Biomedical Engineering
publishDate 2015
institution Swansea University
doi_str_mv 10.1002/cnm.2732
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 Hæmodynamical simulations using one-dimensional (1-D) computational models exhibit many of the features of the systemic circulation under normal and diseased conditions. Recent interest in verifying 1-D numerical schemes has led to the development of alternative experimental setups and the use of 3-D numerical models to acquire data not easily measured in vivo. In most studies to date, only one particular 1-D scheme is tested. In this paper we present a systematic comparison of six commonly used numerical schemes for 1-D blood flow modelling: discontinuous Galerkin (DCG), locally conservative Galerkin (LCG), Galerkin least-squares finite element method (FEM), finite volume method (FVM), finite difference MacCormack method (McC), and a simplified trapezium rule method (STM). Comparisons are made in a series of six benchmark test cases with an increasing degree of complexity. The accuracy of the numerical schemes is assessed by comparison against theoretical results, 3-D numerical data in compatible domains with distensible walls, or experimental data in a network of silicone tubes. Results show a good agreement among all numerical schemes and their ability to capture the main features of pressure, flow and area waveforms in large arteries. All the information used in this study, including the input data for all benchmark cases, experimental data where available, and numerical solutions for each scheme, is made publicly available online, providing a comprehensive reference data set to support the development of 1-D models and numerical schemes. This article is protected by copyright. All rights reserved.
published_date 2015-06-23T03:26:22Z
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score 11.013082

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