# Computational fluctuating fluid dynamics

John B. Bell; Alejandro L. Garcia; Sarah A. Williams

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

- Volume: 44, Issue: 5, page 1085-1105
- ISSN: 0764-583X

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topBell, John B., Garcia, Alejandro L., and Williams, Sarah A.. "Computational fluctuating fluid dynamics." ESAIM: Mathematical Modelling and Numerical Analysis 44.5 (2010): 1085-1105. <http://eudml.org/doc/250763>.

@article{Bell2010,

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.
},

author = {Bell, John B., Garcia, Alejandro L., Williams, Sarah A.},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis},

keywords = {Fluctuating hydrodynamics; Landau-Lifshitz-Navier-Stokes equations; stochastic partial differential equations; finite difference methods; binary gas mixtures; fluctuating hydrodynamics},

language = {eng},

month = {8},

number = {5},

pages = {1085-1105},

publisher = {EDP Sciences},

title = {Computational fluctuating fluid dynamics},

url = {http://eudml.org/doc/250763},

volume = {44},

year = {2010},

}

TY - JOUR

AU - Bell, John B.

AU - Garcia, Alejandro L.

AU - Williams, Sarah A.

TI - Computational fluctuating fluid dynamics

JO - ESAIM: Mathematical Modelling and Numerical Analysis

DA - 2010/8//

PB - EDP Sciences

VL - 44

IS - 5

SP - 1085

EP - 1105

AB -
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.

LA - eng

KW - Fluctuating hydrodynamics; Landau-Lifshitz-Navier-Stokes equations; stochastic partial differential equations; finite difference methods; binary gas mixtures; fluctuating hydrodynamics

UR - http://eudml.org/doc/250763

ER -

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