Fluctuating hydrodynamics of multispecies nonreactive mixtures
In this study we discuss the formulation of the fluctuating NavierStokes equations for multispecies, nonreactive fluids. In particular, we establish a form suitable for numerical solution of the resulting stochastic partial differential equations. An accurate and efficient numerical scheme, based on our previous methods for single species and binary mixtures, is presented and tested at equilibrium as well as for a variety of nonequilibrium problems. These include the study of giant nonequilibrium concentration fluctuations in a ternary mixture in the presence of a diffusion barrier, the triggering of a RayleighTaylor instability by diffusion in a fourspecies mixture, as well as reverse diffusion in a ternary mixture. Finally, good agreement with theory and experiment demonstrates that the formulation is robust and can serve as a useful tool in the study of thermal fluctuations for multispecies fluids.
 Authors:

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 Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Computational Research Division
 San Jose State Univ., CA (United States). Dept. of Physics and Astronomy
 New York Univ. (NYU), NY (United States). Courant Inst. of Mathematical Sciences
 Publication Date:
 Grant/Contract Number:
 AC0205CH11231; SC0008271; DMS1115341
 Type:
 Accepted Manuscript
 Journal Name:
 Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
 Additional Journal Information:
 Journal Volume: 89; Journal Issue: 1; Journal ID: ISSN 15393755
 Publisher:
 American Physical Society (APS)
 Research Org:
 Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States); New York Univ. (NYU), NY (United States)
 Sponsoring Org:
 USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR) (SC21); National Science Foundation (NSF)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; fluctuating hydrodynamics; fluctuating NavierStokes equations; multispecies; thermal fluctuations
 OSTI Identifier:
 1407226
Balakrishnan, Kaushik, Garcia, Alejandro L., Donev, Aleksandar, and Bell, John B.. Fluctuating hydrodynamics of multispecies nonreactive mixtures. United States: N. p.,
Web. doi:10.1103/PhysRevE.89.013017.
Balakrishnan, Kaushik, Garcia, Alejandro L., Donev, Aleksandar, & Bell, John B.. Fluctuating hydrodynamics of multispecies nonreactive mixtures. United States. doi:10.1103/PhysRevE.89.013017.
Balakrishnan, Kaushik, Garcia, Alejandro L., Donev, Aleksandar, and Bell, John B.. 2014.
"Fluctuating hydrodynamics of multispecies nonreactive mixtures". United States.
doi:10.1103/PhysRevE.89.013017. https://www.osti.gov/servlets/purl/1407226.
@article{osti_1407226,
title = {Fluctuating hydrodynamics of multispecies nonreactive mixtures},
author = {Balakrishnan, Kaushik and Garcia, Alejandro L. and Donev, Aleksandar and Bell, John B.},
abstractNote = {In this study we discuss the formulation of the fluctuating NavierStokes equations for multispecies, nonreactive fluids. In particular, we establish a form suitable for numerical solution of the resulting stochastic partial differential equations. An accurate and efficient numerical scheme, based on our previous methods for single species and binary mixtures, is presented and tested at equilibrium as well as for a variety of nonequilibrium problems. These include the study of giant nonequilibrium concentration fluctuations in a ternary mixture in the presence of a diffusion barrier, the triggering of a RayleighTaylor instability by diffusion in a fourspecies mixture, as well as reverse diffusion in a ternary mixture. Finally, good agreement with theory and experiment demonstrates that the formulation is robust and can serve as a useful tool in the study of thermal fluctuations for multispecies fluids.},
doi = {10.1103/PhysRevE.89.013017},
journal = {Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics},
number = 1,
volume = 89,
place = {United States},
year = {2014},
month = {1}
}