Document Type
Article
Publication Date
1-1-2010
Publication Title
Mathematical Modelling and Numerical Analysis
Volume
44
First Page
1085
Last Page
1105
DOI
10.1051/m2an/2010053
Keywords
fluid, fluctuating
Disciplines
Other Astrophysics and Astronomy | Other Physics
Abstract
This paper describes the extension of a recently developed numerical solver for the Landau-Lifshitz Navier-Stokes (LLNS) equations to binary mixtures in three dimensions. The LLNS equations incorporate thermal fluctuations into macroscopic hydrodynamics by using white-noise fluxes. These stochastic PDEs are more complicated in three dimensions due to the tensorial form of the correlations for the stochastic fluxes and in mixtures due to couplings of energy and concentration fluxes (e.g., Soret effect). We present various numerical tests of systems in and out of equilibrium, including time-dependent systems, and demonstrate good agreement with theoretical results and molecular simulation
Recommended Citation
Alejandro Garcia, J. B. Bell, and S. Williams. "Computational fluctuating fluid dynamics" Mathematical Modelling and Numerical Analysis (2010): 1085-1105. https://doi.org/10.1051/m2an/2010053
Comments
Copyright © 2010 EDP Sciences.Reprinted from "ESAIM: Mathematical Modelling and Numerical Analysis", 44, 1085-1105 (2010). The published version of the article can be found online at: http://dx.doi.org/10.1051/m2an/2010053.