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Stable and accurate schemes for smoothed dissipative particle dynamics

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

Received date: 2017-07-14

  Revised date: 2017-10-21

  Online published: 2018-01-01

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)

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.

Cite this article

G. FAURE, G. STOLTZ . Stable and accurate schemes for smoothed dissipative particle dynamics[J]. Applied Mathematics and Mechanics, 2018 , 39(1) : 83 -102 . DOI: 10.1007/s10483-018-2256-8

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