@Article{CiCP-23-93,
author = {Xin Bian, Mingge Deng and George Em Karniadakis},
title = {Analytical and Computational Studies of Correlations of Hydrodynamic Fluctuations in Shear Flow},
journal = {Communications in Computational Physics},
year = {2018},
volume = {23},
number = {1},
pages = {93--117},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2017-0051},
url = {http://global-sci.org/intro/article_detail/cicp/10521.html}
}