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An upwind vertex centred finite volume algorithm for nearly and truly incompressible explicit fast solid dynamic applications: Total and Updated Lagrangian formulations

Osama I. Hassan, Ataollah Ghavamian, Chun Hean Lee, Antonio Gil Orcid Logo, Javier Bonet, Ferdinando Auricchio

Journal of Computational Physics: X, Volume: 3, Start page: 100025

Swansea University Author: Antonio Gil Orcid Logo

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DOI (Published version): 10.1016/j.jcpx.2019.100025

Abstract

This paper presents an explicit vertex centred finite volume method for the solution of fast transient isothermal large strain solid dynamics via a system of first order hyperbolic conservation laws. Building upon previous work developed by the authors, in the context of alternative numerical discre...

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Published in: Journal of Computational Physics: X
ISSN: 2590-0552
Published: 2019
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URI: https://cronfa.swan.ac.uk/Record/cronfa49147
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last_indexed 2019-07-18T21:31:30Z
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spelling 2019-07-18T16:28:30.0600701 v2 49147 2019-03-07 An upwind vertex centred finite volume algorithm for nearly and truly incompressible explicit fast solid dynamic applications: Total and Updated Lagrangian formulations 1f5666865d1c6de9469f8b7d0d6d30e2 0000-0001-7753-1414 Antonio Gil Antonio Gil true false 2019-03-07 CIVL This paper presents an explicit vertex centred finite volume method for the solution of fast transient isothermal large strain solid dynamics via a system of first order hyperbolic conservation laws. Building upon previous work developed by the authors, in the context of alternative numerical discretisations, this paper explores the use of a series of enhancements (both from the formulation and numerical standpoints) in order to explore some limiting scenarios, such as the consideration of near and true incompressibility. Both Total and Updated Lagrangian formulations are presented and compared at the discrete level, where very small differences between both descriptions are observed due to the excellent discrete satisfaction of the involutions. In addition, a matrix-free tailor-made artificial compressibility algorithm is discussed and combined with an angular momentum projection algorithm. A wide spectrum of numerical examples is thoroughly examined. The scheme shows excellent (stable, consistent and accurate) behaviour, in comparison with other methodologies, in compressible, nearly incompressible and truly incompressible bending dominated scenarios, yielding equal second order of convergence for velocities, deviatoric and volumetric components of the stress. Journal Article Journal of Computational Physics: X 3 100025 2590-0552 Conservation laws, Solid dynamics, Lagrangian, FVM, Upwind, JST 30 6 2019 2019-06-30 10.1016/j.jcpx.2019.100025 COLLEGE NANME Civil Engineering COLLEGE CODE CIVL Swansea University 2019-07-18T16:28:30.0600701 2019-03-07T13:18:04.7239668 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering Osama I. Hassan 1 Ataollah Ghavamian 2 Chun Hean Lee 3 Antonio Gil 0000-0001-7753-1414 4 Javier Bonet 5 Ferdinando Auricchio 6 0049147-24062019130043.pdf hassan2019(3).pdf 2019-06-24T13:00:43.5530000 Output 12545595 application/pdf Version of Record true 2019-06-24T00:00:00.0000000 Distributed under the terms of a Creative Commons Attribution (CC-BY-4.0) true eng
title An upwind vertex centred finite volume algorithm for nearly and truly incompressible explicit fast solid dynamic applications: Total and Updated Lagrangian formulations
spellingShingle An upwind vertex centred finite volume algorithm for nearly and truly incompressible explicit fast solid dynamic applications: Total and Updated Lagrangian formulations
Antonio Gil
title_short An upwind vertex centred finite volume algorithm for nearly and truly incompressible explicit fast solid dynamic applications: Total and Updated Lagrangian formulations
title_full An upwind vertex centred finite volume algorithm for nearly and truly incompressible explicit fast solid dynamic applications: Total and Updated Lagrangian formulations
title_fullStr An upwind vertex centred finite volume algorithm for nearly and truly incompressible explicit fast solid dynamic applications: Total and Updated Lagrangian formulations
title_full_unstemmed An upwind vertex centred finite volume algorithm for nearly and truly incompressible explicit fast solid dynamic applications: Total and Updated Lagrangian formulations
title_sort An upwind vertex centred finite volume algorithm for nearly and truly incompressible explicit fast solid dynamic applications: Total and Updated Lagrangian formulations
author_id_str_mv 1f5666865d1c6de9469f8b7d0d6d30e2
author_id_fullname_str_mv 1f5666865d1c6de9469f8b7d0d6d30e2_***_Antonio Gil
author Antonio Gil
author2 Osama I. Hassan
Ataollah Ghavamian
Chun Hean Lee
Antonio Gil
Javier Bonet
Ferdinando Auricchio
format Journal article
container_title Journal of Computational Physics: X
container_volume 3
container_start_page 100025
publishDate 2019
institution Swansea University
issn 2590-0552
doi_str_mv 10.1016/j.jcpx.2019.100025
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 This paper presents an explicit vertex centred finite volume method for the solution of fast transient isothermal large strain solid dynamics via a system of first order hyperbolic conservation laws. Building upon previous work developed by the authors, in the context of alternative numerical discretisations, this paper explores the use of a series of enhancements (both from the formulation and numerical standpoints) in order to explore some limiting scenarios, such as the consideration of near and true incompressibility. Both Total and Updated Lagrangian formulations are presented and compared at the discrete level, where very small differences between both descriptions are observed due to the excellent discrete satisfaction of the involutions. In addition, a matrix-free tailor-made artificial compressibility algorithm is discussed and combined with an angular momentum projection algorithm. A wide spectrum of numerical examples is thoroughly examined. The scheme shows excellent (stable, consistent and accurate) behaviour, in comparison with other methodologies, in compressible, nearly incompressible and truly incompressible bending dominated scenarios, yielding equal second order of convergence for velocities, deviatoric and volumetric components of the stress.
published_date 2019-06-30T03:59:56Z
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score 11.012678

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