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A parameter-free total Lagrangian smooth particle hydrodynamics algorithm applied to problems with free surfaces

Kenny Low, Chun Hean Lee Orcid Logo, Antonio Gil Orcid Logo, Jibran Haider, Javier Bonet

Computational Particle Mechanics, Volume: 8, Issue: 4, Pages: 859 - 892

Swansea University Authors: Kenny Low, Chun Hean Lee Orcid Logo, Antonio Gil Orcid Logo

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DOI (Published version): 10.1007/s40571-020-00374-x

Abstract

This paper presents a new Smooth Particle Hydrodynamics computational framework for the solution of inviscid free surface flow problems. The formulation is based on the Total Lagrangian description of a system of first-order conservation laws written in terms of the linear momentum and the Jacobian...

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Published in: Computational Particle Mechanics
ISSN: 2196-4378 2196-4386
Published: Springer Science and Business Media LLC 2021
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URI: https://cronfa.swan.ac.uk/Record/cronfa55406
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The formulation is based on the Total Lagrangian description of a system of first-order conservation laws written in terms of the linear momentum and the Jacobian of the deformation. One of the aims of this paper is to explore the use of Total Lagrangian description in the case of large deformations but without topological changes. In this case, the evaluation of spatial integrals is carried out with respect to the initial undeformed configuration, yielding an extremely efficient formulation where the need for continuous particle neighbouring search is completely circumvented. To guarantee stability from the SPH discretisation point of view, consistently derived Riemann-based numerical dissipation is suitably introduced where global numerical entropy production is demonstrated via a novel technique in terms of the time rate of the Hamiltonian of the system. Since the kernel derivatives presented in this work are fixed in the reference configuration, the non-physical clumping mechanism is completely removed. To fulfil conservation of the global angular momentum, a posteriori (least-squares) projection procedure is introduced. Finally, a wide spectrum of dedicated prototype problems is thoroughly examined. Through these tests, the SPH methodology overcomes by construction a number of persistent numerical drawbacks (e.g. hour-glassing, pressure instability, global conservation and/or completeness issues) commonly found in SPH literature, without resorting to the use of any ad-hoc user-defined artificial stabilisation parameters. 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spelling 2021-06-24T15:07:46.7904879 v2 55406 2020-10-12 A parameter-free total Lagrangian smooth particle hydrodynamics algorithm applied to problems with free surfaces 1262a79bdd473e4a8805c6fdefb2c5b1 Kenny Low Kenny Low true false e3024bdeee2dee48376c2a76b7147f2f 0000-0003-1102-3729 Chun Hean Lee Chun Hean Lee true false 1f5666865d1c6de9469f8b7d0d6d30e2 0000-0001-7753-1414 Antonio Gil Antonio Gil true false 2020-10-12 AERO This paper presents a new Smooth Particle Hydrodynamics computational framework for the solution of inviscid free surface flow problems. The formulation is based on the Total Lagrangian description of a system of first-order conservation laws written in terms of the linear momentum and the Jacobian of the deformation. One of the aims of this paper is to explore the use of Total Lagrangian description in the case of large deformations but without topological changes. In this case, the evaluation of spatial integrals is carried out with respect to the initial undeformed configuration, yielding an extremely efficient formulation where the need for continuous particle neighbouring search is completely circumvented. To guarantee stability from the SPH discretisation point of view, consistently derived Riemann-based numerical dissipation is suitably introduced where global numerical entropy production is demonstrated via a novel technique in terms of the time rate of the Hamiltonian of the system. Since the kernel derivatives presented in this work are fixed in the reference configuration, the non-physical clumping mechanism is completely removed. To fulfil conservation of the global angular momentum, a posteriori (least-squares) projection procedure is introduced. Finally, a wide spectrum of dedicated prototype problems is thoroughly examined. Through these tests, the SPH methodology overcomes by construction a number of persistent numerical drawbacks (e.g. hour-glassing, pressure instability, global conservation and/or completeness issues) commonly found in SPH literature, without resorting to the use of any ad-hoc user-defined artificial stabilisation parameters. Crucially, the overall SPH algorithm yields equal second order of convergence for both velocities and pressure. Journal Article Computational Particle Mechanics 8 4 859 892 Springer Science and Business Media LLC 2196-4378 2196-4386 1 7 2021 2021-07-01 10.1007/s40571-020-00374-x COLLEGE NANME Aerospace Engineering COLLEGE CODE AERO Swansea University 2021-06-24T15:07:46.7904879 2020-10-12T16:17:33.3217309 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering Kenny Low 1 Chun Hean Lee 0000-0003-1102-3729 2 Antonio Gil 0000-0001-7753-1414 3 Jibran Haider 4 Javier Bonet 5 55406__19249__932e520789194f29a6f43dc13f62e399.pdf 55406 (2).pdf 2021-02-09T10:52:41.0675533 Output 14932311 application/pdf Version of Record true © The Author(s) 2021. This article is licensed under a Creative Commons Attribution 4.0 International License true eng http://creativecommons.org/licenses/by/4.0/.
title A parameter-free total Lagrangian smooth particle hydrodynamics algorithm applied to problems with free surfaces
spellingShingle A parameter-free total Lagrangian smooth particle hydrodynamics algorithm applied to problems with free surfaces
Kenny Low
Chun Hean Lee
Antonio Gil
title_short A parameter-free total Lagrangian smooth particle hydrodynamics algorithm applied to problems with free surfaces
title_full A parameter-free total Lagrangian smooth particle hydrodynamics algorithm applied to problems with free surfaces
title_fullStr A parameter-free total Lagrangian smooth particle hydrodynamics algorithm applied to problems with free surfaces
title_full_unstemmed A parameter-free total Lagrangian smooth particle hydrodynamics algorithm applied to problems with free surfaces
title_sort A parameter-free total Lagrangian smooth particle hydrodynamics algorithm applied to problems with free surfaces
author_id_str_mv 1262a79bdd473e4a8805c6fdefb2c5b1
e3024bdeee2dee48376c2a76b7147f2f
1f5666865d1c6de9469f8b7d0d6d30e2
author_id_fullname_str_mv 1262a79bdd473e4a8805c6fdefb2c5b1_***_Kenny Low
e3024bdeee2dee48376c2a76b7147f2f_***_Chun Hean Lee
1f5666865d1c6de9469f8b7d0d6d30e2_***_Antonio Gil
author Kenny Low
Chun Hean Lee
Antonio Gil
author2 Kenny Low
Chun Hean Lee
Antonio Gil
Jibran Haider
Javier Bonet
format Journal article
container_title Computational Particle Mechanics
container_volume 8
container_issue 4
container_start_page 859
publishDate 2021
institution Swansea University
issn 2196-4378
2196-4386
doi_str_mv 10.1007/s40571-020-00374-x
publisher Springer Science and Business Media LLC
college_str Faculty of Science and Engineering
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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
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description This paper presents a new Smooth Particle Hydrodynamics computational framework for the solution of inviscid free surface flow problems. The formulation is based on the Total Lagrangian description of a system of first-order conservation laws written in terms of the linear momentum and the Jacobian of the deformation. One of the aims of this paper is to explore the use of Total Lagrangian description in the case of large deformations but without topological changes. In this case, the evaluation of spatial integrals is carried out with respect to the initial undeformed configuration, yielding an extremely efficient formulation where the need for continuous particle neighbouring search is completely circumvented. To guarantee stability from the SPH discretisation point of view, consistently derived Riemann-based numerical dissipation is suitably introduced where global numerical entropy production is demonstrated via a novel technique in terms of the time rate of the Hamiltonian of the system. Since the kernel derivatives presented in this work are fixed in the reference configuration, the non-physical clumping mechanism is completely removed. To fulfil conservation of the global angular momentum, a posteriori (least-squares) projection procedure is introduced. Finally, a wide spectrum of dedicated prototype problems is thoroughly examined. Through these tests, the SPH methodology overcomes by construction a number of persistent numerical drawbacks (e.g. hour-glassing, pressure instability, global conservation and/or completeness issues) commonly found in SPH literature, without resorting to the use of any ad-hoc user-defined artificial stabilisation parameters. Crucially, the overall SPH algorithm yields equal second order of convergence for both velocities and pressure.
published_date 2021-07-01T04:09:35Z
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score 11.012678

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