Volume 23, Issue 1
Analytical and Computational Studies of Correlations of Hydrodynamic Fluctuations in Shear Flow

Xin Bian, Mingge Deng & George Em Karniadakis

Commun. Comput. Phys., 23 (2018), pp. 93-117.

Published online: 2018-01

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  • 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.

  • Keywords

Hydrodynamic fluctuations, correlation functions, dissipative particle dynamics, shear flow.

  • AMS Subject Headings

76M28, 82C22, 34F05

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CiCP-23-93, author = {}, 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 = {

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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2017-0051}, url = {http://global-sci.org/intro/article_detail/cicp/10521.html} }
TY - JOUR T1 - Analytical and Computational Studies of Correlations of Hydrodynamic Fluctuations in Shear Flow JO - Communications in Computational Physics VL - 1 SP - 93 EP - 117 PY - 2018 DA - 2018/01 SN - 23 DO - http://doi.org/10.4208/cicp.OA-2017-0051 UR - https://global-sci.org/intro/article_detail/cicp/10521.html KW - Hydrodynamic fluctuations, correlation functions, dissipative particle dynamics, shear flow. AB -

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.

Xin Bian, Mingge Deng & George Em Karniadakis. (2020). Analytical and Computational Studies of Correlations of Hydrodynamic Fluctuations in Shear Flow. Communications in Computational Physics. 23 (1). 93-117. doi:10.4208/cicp.OA-2017-0051
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