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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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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 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.
College: Faculty of Science and Engineering
Issue: 6
Start Page: 1
End Page: 15

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