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Fluctuating hydrodynamics of multispecies mixtures. I. Non-reacting Flows
Physical Review E. (2014)
  • Kaushik Balakrishnan, Lawrence Berkeley National Laboratory
  • Aleksandar Donev, New York University
  • John B. Bell, Lawrence Berkeley National Laboratory
  • Alejandro Garcia, San Jose State University
In this paper we discuss the formulation of the fluctuating Navier-Stokes 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 Rayleigh-Taylor instability by diffusion in a four-species mixture, as well as reverse diffusion in a ternary mixture. 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
Publication Date
January 22, 2014
Publisher Statement
This article originally appeared in Physical Review E, 89, 1, 2014. ©2014 American Physical Society. This work can also be found online at this link:
Citation Information
Kaushik Balakrishnan, Aleksandar Donev, John B. Bell and Alejandro Garcia. "Fluctuating hydrodynamics of multispecies mixtures. I. Non-reacting Flows" Physical Review E. Vol. 89 Iss. 1 (2014) ISSN: 2470-0045
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