Analytical and Computational Studies of Correlations of Hydrodynamic Fluctuations in Shear Flow

Analytical and Computational Studies of Correlations of Hydrodynamic Fluctuations in Shear Flow

Year:    2018

Communications in Computational Physics, Vol. 23 (2018), Iss. 1 : pp. 93–117

Abstract

We study correlations of hydrodynamic fluctuations in shear flow analytically and also by dissipative particle dynamics (DPD) simulations. The hydrodynamic equations are linearized around the macroscopic velocity field and then solved by a perturbation method in Fourier-transformed space. The autocorrelation functions (ACFs) from the analytical method are compared with results obtained from DPD simulations under the same shear-flow conditions. Up to a moderate shear rate, various ACFs from the two approaches agree with each other well. At large shear rates, discrepancies between the two methods are observed, hence revealing strong additional coupling between different fluctuating variables, which is not considered in the analytical approach. In addition, the results at low and moderate shear rates can serve as benchmarks for developing multiscale algorithms for coupling of heterogeneous solvers, such as a hybrid simulation of molecular dynamics and fluctuating hydrodynamics solver, where thermal fluctuations are indispensable.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.OA-2017-0051

Communications in Computational Physics, Vol. 23 (2018), Iss. 1 : pp. 93–117

Published online:    2018-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    25

Keywords:    Hydrodynamic fluctuations correlation functions dissipative particle dynamics shear flow.

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