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A moving least square reproducing kernel particle method for unified multiphase continuum simulation

Xiao-Song Chen, Chenfeng Li Orcid Logo, Geng-Chen Cao, Yun-Tao Jiang, Shi-Min Hu

ACM Transactions on Graphics, Volume: 39, Issue: 6, Pages: 1 - 15

Swansea University Author: Chenfeng Li Orcid Logo

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DOI (Published version): 10.1145/3414685.3417809

Abstract

In physically based-based animation, pure particle methods are popular due to their simple data structure, easy implementation, and convenient parallelization. As a pure particle-based method and using Galerkin discretization, the Moving Least Square Reproducing Kernel Method (MLSRK) was developed i...

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Published in: ACM Transactions on Graphics
ISSN: 0730-0301 1557-7368
Published: Association for Computing Machinery (ACM) 2021
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URI: https://cronfa.swan.ac.uk/Record/cronfa55722
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first_indexed 2020-11-23T10:01:49Z
last_indexed 2021-01-14T04:20:53Z
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spelling 2021-01-13T10:27:54.9457566 v2 55722 2020-11-23 A moving least square reproducing kernel particle method for unified multiphase continuum simulation 82fe170d5ae2c840e538a36209e5a3ac 0000-0003-0441-211X Chenfeng Li Chenfeng Li true false 2020-11-23 CIVL In physically based-based animation, pure particle methods are popular due to their simple data structure, easy implementation, and convenient parallelization. As a pure particle-based method and using Galerkin discretization, the Moving Least Square Reproducing Kernel Method (MLSRK) was developed in engineering computation as a general numerical tool for solving PDEs. The basic idea of Moving Least Square (MLS) has also been used in computer graphics to estimate deformation gradient for deformable solids. Based on these previous studies, we propose a multiphase MLSRK framework that animates complex and coupled fluids and solids in a unified manner. Specifically, we use the Cauchy momentum equation and phase field model to uniformly capture the momentum balance and phase evolution/interaction in a multiphase system, and systematically formulate the MLSRK discretization to support general multiphase constitutive models. A series of animation examples are presented to demonstrate the performance of our new multiphase MLSRK framework, including hyperelastic, elastoplastic, viscous, fracturing and multiphase coupling behaviours etc. Journal Article ACM Transactions on Graphics 39 6 1 15 Association for Computing Machinery (ACM) 0730-0301 1557-7368 1 1 2021 2021-01-01 10.1145/3414685.3417809 COLLEGE NANME Civil Engineering COLLEGE CODE CIVL Swansea University 2021-01-13T10:27:54.9457566 2020-11-23T10:00:15.6159586 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering Xiao-Song Chen 1 Chenfeng Li 0000-0003-0441-211X 2 Geng-Chen Cao 3 Yun-Tao Jiang 4 Shi-Min Hu 5 55722__19016__91048171294f486e8e482c44025422de.pdf 55722 (2).pdf 2021-01-11T11:56:33.8442436 Output 19904729 application/pdf Accepted Manuscript true true eng
title A moving least square reproducing kernel particle method for unified multiphase continuum simulation
spellingShingle A moving least square reproducing kernel particle method for unified multiphase continuum simulation
Chenfeng Li
title_short A moving least square reproducing kernel particle method for unified multiphase continuum simulation
title_full A moving least square reproducing kernel particle method for unified multiphase continuum simulation
title_fullStr A moving least square reproducing kernel particle method for unified multiphase continuum simulation
title_full_unstemmed A moving least square reproducing kernel particle method for unified multiphase continuum simulation
title_sort A moving least square reproducing kernel particle method for unified multiphase continuum simulation
author_id_str_mv 82fe170d5ae2c840e538a36209e5a3ac
author_id_fullname_str_mv 82fe170d5ae2c840e538a36209e5a3ac_***_Chenfeng Li
author Chenfeng Li
author2 Xiao-Song Chen
Chenfeng Li
Geng-Chen Cao
Yun-Tao Jiang
Shi-Min Hu
format Journal article
container_title ACM Transactions on Graphics
container_volume 39
container_issue 6
container_start_page 1
publishDate 2021
institution Swansea University
issn 0730-0301
1557-7368
doi_str_mv 10.1145/3414685.3417809
publisher Association for Computing Machinery (ACM)
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 In physically based-based animation, pure particle methods are popular due to their simple data structure, easy implementation, and convenient parallelization. As a pure particle-based method and using Galerkin discretization, the Moving Least Square Reproducing Kernel Method (MLSRK) was developed in engineering computation as a general numerical tool for solving PDEs. The basic idea of Moving Least Square (MLS) has also been used in computer graphics to estimate deformation gradient for deformable solids. Based on these previous studies, we propose a multiphase MLSRK framework that animates complex and coupled fluids and solids in a unified manner. Specifically, we use the Cauchy momentum equation and phase field model to uniformly capture the momentum balance and phase evolution/interaction in a multiphase system, and systematically formulate the MLSRK discretization to support general multiphase constitutive models. A series of animation examples are presented to demonstrate the performance of our new multiphase MLSRK framework, including hyperelastic, elastoplastic, viscous, fracturing and multiphase coupling behaviours etc.
published_date 2021-01-01T04:10:09Z
_version_ 1763753705741484032
score 10.997843

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