Stable and accurate schemes for smoothed dissipative particle dynamics

doi:10.1007/s10483-018-2256-8

Abstract

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)

2010 MSC Number:

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

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