Fluctuating hydrodynamic methods for fluid-structure interactions in confined channel geometries

Wang, Y.; Lei, H.; Atzberger, P. J.

doi:10.1007/s10483-018-2253-8

Title: Fluctuating hydrodynamic methods for fluid-structure interactions in confined channel geometries

Journal Article · 29 December 2017 · Applied Mathematics and Mechanics

DOI: https://doi.org/10.1007/s10483-018-2253-8 · OSTI ID:1633905

Wang, Y. ^[1]; Lei, H. ^[2]; Atzberger, P. J. ^[3]

Univ. of California, Santa Barbara, CA (United States); US Department of Energy
Pacific Northwest National Lab. (PNNL), Richland, WA (United States)
Univ. of California, Santa Barbara, CA (United States)

We develop here computational methods for the study of fluid-structure interactions subject to thermal fluctuations when confined within channels with slit-like geometry. The methods take into account the hydrodynamic coupling and diffusivity of microstructures when influenced by their proximity to no-slip walls. We develop stochastic numerical methods subject to no-slip boundary conditions using a staggered finite volume discretization. We introduce techniques for discretizing stochastic systems in a manner that ensures results consistent with statistical mechanics. We show how an exact fluctuation-dissipation condition can be used for this purpose to discretize the stochastic driving fields and combined with an exact projection method to enforce incompressibility. We demonstrate our computational methods by investigating how the proximity of ellipsoidal colloids to the channel wall affects their active hydrodynamic responses and passive diffusivity. We also study for a large number of interacting particles collective drift-diffusion dynamics and associated correlation functions. Furthermore, we expect the introduced stochastic computational methods to be broadly applicable to applications in which confinement effects play an important role in the dynamics of microstructures subject to hydrodynamic coupling and thermal fluctuations.

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Research Organization:: Univ. of California, Santa Barbara, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR) (SC-21); National Science Foundation (NSF)

Grant/Contract Number:: SC0009254

OSTI ID:: 1633905

Alternate ID(s):: OSTI ID: 1557152; OSTI ID: 22793377

Journal Information:: Applied Mathematics and Mechanics, Journal Name: Applied Mathematics and Mechanics Journal Issue: 1 Vol. 39; ISSN 0253-4827

Publisher:: SpringerCopyright Statement

Country of Publication:: United States

Language:: English

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