No Cover Image

Journal article 178 views 10 downloads

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

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

Swansea University Author: Antonio, Gil

  • hassan2019(3).pdf

    PDF | Version of Record

    Distributed under the terms of a Creative Commons Attribution (CC-BY-4.0)

    Download (11.96MB)

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...

Full description

Published in: Journal of Computational Physics: X
ISSN: 2590-0552
Published: 2019
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa49147
Tags: Add Tag
No Tags, Be the first to tag this record!
first_indexed 2019-03-07T20:00:48Z
last_indexed 2019-07-18T21:31:30Z
id cronfa49147
recordtype SURis
fullrecord <?xml version="1.0"?><rfc1807><datestamp>2019-07-18T16:28:30.0600701</datestamp><bib-version>v2</bib-version><id>49147</id><entry>2019-03-07</entry><title>An upwind vertex centred finite volume algorithm for nearly and truly incompressible explicit fast solid dynamic applications: Total and Updated Lagrangian formulations</title><swanseaauthors><author><sid>1f5666865d1c6de9469f8b7d0d6d30e2</sid><ORCID>0000-0001-7753-1414</ORCID><firstname>Antonio</firstname><surname>Gil</surname><name>Antonio Gil</name><active>true</active><ethesisStudent>false</ethesisStudent></author></swanseaauthors><date>2019-03-07</date><deptcode>EEN</deptcode><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 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.</abstract><type>Journal Article</type><journal>Journal of Computational Physics: X</journal><volume>3</volume><paginationStart>100025</paginationStart><publisher/><issnPrint>2590-0552</issnPrint><keywords>Conservation laws, Solid dynamics, Lagrangian, FVM, Upwind, JST</keywords><publishedDay>30</publishedDay><publishedMonth>6</publishedMonth><publishedYear>2019</publishedYear><publishedDate>2019-06-30</publishedDate><doi>10.1016/j.jcpx.2019.100025</doi><url/><notes/><college>COLLEGE NANME</college><department>Engineering</department><CollegeCode>COLLEGE CODE</CollegeCode><DepartmentCode>EEN</DepartmentCode><institution>Swansea University</institution><lastEdited>2019-07-18T16:28:30.0600701</lastEdited><Created>2019-03-07T13:18:04.7239668</Created><path><level id="1">College of Engineering</level><level id="2">Engineering</level></path><authors><author><firstname>Osama I.</firstname><surname>Hassan</surname><order>1</order></author><author><firstname>Ataollah</firstname><surname>Ghavamian</surname><order>2</order></author><author><firstname>Chun Hean</firstname><surname>Lee</surname><order>3</order></author><author><firstname>Antonio</firstname><surname>Gil</surname><orcid>0000-0001-7753-1414</orcid><order>4</order></author><author><firstname>Javier</firstname><surname>Bonet</surname><order>5</order></author><author><firstname>Ferdinando</firstname><surname>Auricchio</surname><order>6</order></author></authors><documents><document><filename>0049147-24062019130043.pdf</filename><originalFilename>hassan2019(3).pdf</originalFilename><uploaded>2019-06-24T13:00:43.5530000</uploaded><type>Output</type><contentLength>12545595</contentLength><contentType>application/pdf</contentType><version>Version of Record</version><cronfaStatus>true</cronfaStatus><action/><embargoDate>2019-06-24T00:00:00.0000000</embargoDate><documentNotes>Distributed under the terms of a Creative Commons Attribution (CC-BY-4.0)</documentNotes><copyrightCorrect>true</copyrightCorrect><language>eng</language></document></documents></rfc1807>
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 EEN 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 Engineering COLLEGE CODE EEN Swansea University 2019-07-18T16:28:30.0600701 2019-03-07T13:18:04.7239668 College of Engineering 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
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 College of Engineering
hierarchytype
hierarchy_top_id collegeofengineering
hierarchy_top_title College of Engineering
hierarchy_parent_id collegeofengineering
hierarchy_parent_title College of Engineering
department_str Engineering{{{_:::_}}}College of Engineering{{{_:::_}}}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 2019-06-30T05:35:01Z
_version_ 1662834024392949760
score 10.89182