Fluctuating hydrodynamic methods for fluid-structure interactions in confined channel geometries
- 166 Downloads
We develop 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. 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.
Key wordsfluctuating hydrodynamics immersed boundary method stochastic Eulerian-Lagrangian method (SELM) ellipsoidal colloid mobility nanochannel
Chinese Library ClassificationO2 O4
2010 Mathematics Subject Classification74S10 74S60 70F99 37A99
Unable to display preview. Download preview PDF.
- Landau, L. D. and Lifshitz, E. M. Course of theoretical physics. Statistical Physics (3rd ed.), Pergamon Press, Oxford (1980)Google Scholar
- Düenweg, B. and Ladd, A. J. C. Lattice Boltzmann simulations of soft matter systems. Advances in Polymer Science, 221, 89–166 (2008)Google Scholar
- Gardiner, C. W. Handbook of Stochastic Methods, Springer, Berlin (1985)Google Scholar
- Faucheux, L. P. and Libchaber, A. J. Confined Brownian motion. Physical Review E Statistical Physics Plasmas Fluids and Related Interdisciplinary Topics, 49, 5158–5163 (1994)Google Scholar