A dual-support smoothed particle hydrodynamics for weakly compressible fluid inspired by the dual-horizon peridynamics

Research output: Contribution to journalArticleResearchpeer review

Authors

  • Huilong Ren
  • Xiaoying Zhuang
  • Timon Rabczuk

External Research Organisations

  • Bauhaus-Universität Weimar
  • Ton Duc Thang University
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Details

Original languageEnglish
Pages (from-to)353-383
Number of pages31
JournalCMES - Computer Modeling in Engineering and Sciences
Volume121
Issue number2
Publication statusPublished - 2019
Externally publishedYes

Abstract

A dual-support smoothed particle hydrodynamics (DS-SPH) that allows variable smoothing lengths while satisfying the conservations of linear momentum, angular momentum and energy is developed. The present DS-SPH is inspired by the dual-support, a concept introduced from dual-horizon peridynamics from the authors and applied here to SPH so that the unbalanced interactions between the particles with different smoothing lengths can be correctly considered and computed. Conventionally, the SPH formulation employs either the influence domain or the support domain. The concept of dual-support identifies that the influence domain and the support domain involves the duality and should be simultaneously in the SPH formulation when variable smoothing lengths are used. The DS-SPH formulation can be implemented into conventional SPH codes with minimal changes and also without compromising the computational efficiency. A number of numerical examples involving weakly compressible. fluid are presented to demonstrate the capability of the method.

Keywords

    Conservation law, Dual-horizon peridynamics, Dual-support, Duality, SPH, Variable smoothing length

ASJC Scopus subject areas

Cite this

A dual-support smoothed particle hydrodynamics for weakly compressible fluid inspired by the dual-horizon peridynamics. / Ren, Huilong; Zhuang, Xiaoying; Rabczuk, Timon.
In: CMES - Computer Modeling in Engineering and Sciences, Vol. 121, No. 2, 2019, p. 353-383.

Research output: Contribution to journalArticleResearchpeer review

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abstract = "A dual-support smoothed particle hydrodynamics (DS-SPH) that allows variable smoothing lengths while satisfying the conservations of linear momentum, angular momentum and energy is developed. The present DS-SPH is inspired by the dual-support, a concept introduced from dual-horizon peridynamics from the authors and applied here to SPH so that the unbalanced interactions between the particles with different smoothing lengths can be correctly considered and computed. Conventionally, the SPH formulation employs either the influence domain or the support domain. The concept of dual-support identifies that the influence domain and the support domain involves the duality and should be simultaneously in the SPH formulation when variable smoothing lengths are used. The DS-SPH formulation can be implemented into conventional SPH codes with minimal changes and also without compromising the computational efficiency. A number of numerical examples involving weakly compressible. fluid are presented to demonstrate the capability of the method.",
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AU - Ren, Huilong

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AU - Rabczuk, Timon

N1 - Funding information: The authors acknowledge the supports from the ERC-CoG (Computational Modeling and Design of Lithium-ion Batteries (COMBAT)), RISE-BESTOFRAC and National Science Foundation of China (51474157). Acknowledgement: The authors acknowledge the supports from the ERC-CoG (Computational Modeling and Design of Lithium-ion Batteries (COMBAT)), RISE-BESTOFRAC and National Science Foundation of China (51474157).

PY - 2019

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N2 - A dual-support smoothed particle hydrodynamics (DS-SPH) that allows variable smoothing lengths while satisfying the conservations of linear momentum, angular momentum and energy is developed. The present DS-SPH is inspired by the dual-support, a concept introduced from dual-horizon peridynamics from the authors and applied here to SPH so that the unbalanced interactions between the particles with different smoothing lengths can be correctly considered and computed. Conventionally, the SPH formulation employs either the influence domain or the support domain. The concept of dual-support identifies that the influence domain and the support domain involves the duality and should be simultaneously in the SPH formulation when variable smoothing lengths are used. The DS-SPH formulation can be implemented into conventional SPH codes with minimal changes and also without compromising the computational efficiency. A number of numerical examples involving weakly compressible. fluid are presented to demonstrate the capability of the method.

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