A stable moving particle semi-implicit method with renormalized Laplacian model improved for incompressible free-surface flows

Xiaoxing Liu, Koji Morita, Shuai Zhang

研究成果: ジャーナルへの寄稿記事

抄録

We present a stable and accurate moving particle semi-implicit (MPS) for free-surface flows. For simulating free-surface flows, previous formulations using renormalized procedure is only applicable to interior particles. Poor accuracy of the free-surface particle in turn contaminate the overall solution accuracy. In this study, dummy particle is introduced to stabilize the renormalized Laplacian model on free surface and to enforce the free-surface condition. The proposed renormalized Laplacian model enables accurate pressure calculation for both internal and free-surface particles. Modification also includes a modified gradient model in which linear consistency is guaranteed and stability is enhanced by introducing dummy particle. The proposed MPS scheme provides a more accurate and stable simulation of incompressible free surface flows. Several two-dimensional numerical simulations are presented to demonstrate the enhanced performance of the proposed MPS method.

元の言語英語
ページ(範囲)199-219
ページ数21
ジャーナルComputer Methods in Applied Mechanics and Engineering
356
DOI
出版物ステータス出版済み - 11 1 2019

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All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Computer Science Applications

これを引用

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abstract = "We present a stable and accurate moving particle semi-implicit (MPS) for free-surface flows. For simulating free-surface flows, previous formulations using renormalized procedure is only applicable to interior particles. Poor accuracy of the free-surface particle in turn contaminate the overall solution accuracy. In this study, dummy particle is introduced to stabilize the renormalized Laplacian model on free surface and to enforce the free-surface condition. The proposed renormalized Laplacian model enables accurate pressure calculation for both internal and free-surface particles. Modification also includes a modified gradient model in which linear consistency is guaranteed and stability is enhanced by introducing dummy particle. The proposed MPS scheme provides a more accurate and stable simulation of incompressible free surface flows. Several two-dimensional numerical simulations are presented to demonstrate the enhanced performance of the proposed MPS method.",
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AU - Zhang, Shuai

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AB - We present a stable and accurate moving particle semi-implicit (MPS) for free-surface flows. For simulating free-surface flows, previous formulations using renormalized procedure is only applicable to interior particles. Poor accuracy of the free-surface particle in turn contaminate the overall solution accuracy. In this study, dummy particle is introduced to stabilize the renormalized Laplacian model on free surface and to enforce the free-surface condition. The proposed renormalized Laplacian model enables accurate pressure calculation for both internal and free-surface particles. Modification also includes a modified gradient model in which linear consistency is guaranteed and stability is enhanced by introducing dummy particle. The proposed MPS scheme provides a more accurate and stable simulation of incompressible free surface flows. Several two-dimensional numerical simulations are presented to demonstrate the enhanced performance of the proposed MPS method.

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