Stable and accurate schemes for smoothed dissipative particle dynamics

doi:10.1007/s10483-018-2256-8

Applied Mathematics and Mechanics (English Edition) ›› 2018, Vol. 39 ›› Issue (1): 83-102.doi: https://doi.org/10.1007/s10483-018-2256-8

Stable and accurate schemes for smoothed dissipative particle dynamics

G. FAURE¹, G. STOLTZ²

1. CEA, DAM, DIF, Arpajon F-91297, France;
2. Université Paris-Est, CERMICS(ENPC), INRIA, Marne-la-Vallée F-77455, France

收稿日期:2017-07-14 修回日期:2017-10-21 出版日期:2018-01-01 发布日期:2018-01-01
通讯作者: G. FAURE E-mail:gerome.faure@enpc.fr
基金资助:
Project supported by the Agence Nationale de la Recherche (No. ANR-14-CE23-0012 (COSMOS)) and the European Research Council under the European Union's Seventh Framework Programme (FP/2007-2013)/ERC (No. 614492)

Stable and accurate schemes for smoothed dissipative particle dynamics

G. FAURE¹, G. STOLTZ²

1. CEA, DAM, DIF, Arpajon F-91297, France;
2. Université Paris-Est, CERMICS(ENPC), INRIA, Marne-la-Vallée F-77455, France

Received:2017-07-14 Revised:2017-10-21 Online:2018-01-01 Published:2018-01-01
Contact: G. FAURE E-mail:gerome.faure@enpc.fr
Supported by:
Project supported by the Agence Nationale de la Recherche (No. ANR-14-CE23-0012 (COSMOS)) and the European Research Council under the European Union's Seventh Framework Programme (FP/2007-2013)/ERC (No. 614492)

摘要/Abstract

摘要： Smoothed dissipative particle dynamics (SDPD) is a mesoscopic particle method that allows to select the level of resolution at which a fluid is simulated. The numerical integration of its equations of motion still suffers from the lack of numerical schemes satisfying all the desired properties such as energy conservation and stability. Similarities between SDPD and dissipative particle dynamics with energy (DPDE) conservation, which is another coarse-grained model, enable adaptation of recent numerical schemes developed for DPDE to the SDPD setting. In this article, a Metropolis step in the integration of the fluctuation/dissipation part of SDPD is introduced to improve its stability.

关键词: quasi-flow corner theory, modulus reduced function, shear band, Anisotropy, numerical integration, Metropolis algorithm, smoothed dissipative particle dynamics (SDPD)

Abstract: Smoothed dissipative particle dynamics (SDPD) is a mesoscopic particle method that allows to select the level of resolution at which a fluid is simulated. The numerical integration of its equations of motion still suffers from the lack of numerical schemes satisfying all the desired properties such as energy conservation and stability. Similarities between SDPD and dissipative particle dynamics with energy (DPDE) conservation, which is another coarse-grained model, enable adaptation of recent numerical schemes developed for DPDE to the SDPD setting. In this article, a Metropolis step in the integration of the fluctuation/dissipation part of SDPD is introduced to improve its stability.

Key words: quasi-flow corner theory, modulus reduced function, shear band, Anisotropy, Metropolis algorithm, numerical integration, smoothed dissipative particle dynamics (SDPD)

中图分类号:

G. FAURE, G. STOLTZ. Stable and accurate schemes for smoothed dissipative particle dynamics[J]. Applied Mathematics and Mechanics (English Edition), 2018, 39(1): 83-102.

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Stable and accurate schemes for smoothed dissipative particle dynamics

Stable and accurate schemes for smoothed dissipative particle dynamics

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