On the suppression and distortion of non-equilibrium fluctuations by transpiration
Abstract
A fluid in a nonequilibrium state exhibits long-ranged correlations of its hydrodynamic fluctuations. In this article, we examine the effect of a transpiration interface on these correlations - specifically, we consider a dilute gas in a domain bisected by the interface. The system is held in a nonequilibrium steady state by using isothermal walls to impose a temperature gradient. The gas is simulated using both direct simulation Monte Carlo (DSMC) and fluctuating hydrodynamics (FHD). For the FHD simulations, two models are developed for the interface based on master equation and Langevin approaches. For appropriate simulation parameters, good agreement is observed between DSMC and FHD results with the latter showing a significant advantage in computational speed. For each approach, we quantify the effects of transpiration on long-ranged correlations in the hydrodynamic variables. The principal effect of transpiration is a suppression of the correlations, an outcome largely explained by a reduction in the temperature gradient due to the interface. We also observe a distortion of the temperature correlations, specifically the appearance of a new peak located near the interface.
- Authors:
-
[1];
[1];
[1];
[2]
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Center for Computational Sciences and Engineering
- Department of Physics and Astronomy, San Jose State University, San Jose, California 95192, USA; San Jose State Univ., CA (United States). Dept. of Physics and Astronomy
- Publication Date:
- Research Org.:
- Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)
- Sponsoring Org.:
- USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)
- OSTI Identifier:
- 1526600
- Alternate Identifier(s):
- OSTI ID: 1511897
- Grant/Contract Number:
- AC02-05CH11231
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physics of Fluids
- Additional Journal Information:
- Journal Volume: 31; Journal Issue: 5; Journal ID: ISSN 1070-6631
- Publisher:
- American Institute of Physics (AIP)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
Citation Formats
Ladiges, Daniel R., Nonaka, Andrew J., Bell, John B., and Garcia, Alejandro L. On the suppression and distortion of non-equilibrium fluctuations by transpiration. United States: N. p., 2019.
Web. doi:10.1063/1.5093922.
Ladiges, Daniel R., Nonaka, Andrew J., Bell, John B., & Garcia, Alejandro L. On the suppression and distortion of non-equilibrium fluctuations by transpiration. United States. https://doi.org/10.1063/1.5093922
Ladiges, Daniel R., Nonaka, Andrew J., Bell, John B., and Garcia, Alejandro L. Wed .
"On the suppression and distortion of non-equilibrium fluctuations by transpiration". United States. https://doi.org/10.1063/1.5093922. https://www.osti.gov/servlets/purl/1526600.
@article{osti_1526600,
title = {On the suppression and distortion of non-equilibrium fluctuations by transpiration},
author = {Ladiges, Daniel R. and Nonaka, Andrew J. and Bell, John B. and Garcia, Alejandro L.},
abstractNote = {A fluid in a nonequilibrium state exhibits long-ranged correlations of its hydrodynamic fluctuations. In this article, we examine the effect of a transpiration interface on these correlations - specifically, we consider a dilute gas in a domain bisected by the interface. The system is held in a nonequilibrium steady state by using isothermal walls to impose a temperature gradient. The gas is simulated using both direct simulation Monte Carlo (DSMC) and fluctuating hydrodynamics (FHD). For the FHD simulations, two models are developed for the interface based on master equation and Langevin approaches. For appropriate simulation parameters, good agreement is observed between DSMC and FHD results with the latter showing a significant advantage in computational speed. For each approach, we quantify the effects of transpiration on long-ranged correlations in the hydrodynamic variables. The principal effect of transpiration is a suppression of the correlations, an outcome largely explained by a reduction in the temperature gradient due to the interface. We also observe a distortion of the temperature correlations, specifically the appearance of a new peak located near the interface.},
doi = {10.1063/1.5093922},
journal = {Physics of Fluids},
number = 5,
volume = 31,
place = {United States},
year = {Wed May 01 00:00:00 EDT 2019},
month = {Wed May 01 00:00:00 EDT 2019}
}
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Works referenced in this record:
Hydrodynamic collective effects of active protein machines in solution and lipid bilayers
journal, June 2015
- Mikhailov, Alexander S.; Kapral, Raymond
- Proceedings of the National Academy of Sciences, Vol. 112, Issue 28
Algorithm Refinement for Fluctuating Hydrodynamics
journal, January 2008
- Williams, Sarah A.; Bell, John B.; Garcia, Alejandro L.
- Multiscale Modeling & Simulation, Vol. 6, Issue 4
Low Mach number fluctuating hydrodynamics for electrolytes
journal, November 2016
- Péraud, Jean-Philippe; Nonaka, Andy; Chaudhri, Anuj
- Physical Review Fluids, Vol. 1, Issue 7
The chemical Langevin equation
journal, July 2000
- Gillespie, Daniel T.
- The Journal of Chemical Physics, Vol. 113, Issue 1
Onset of spatial correlations in nonequilibrium systems: A master-equation description
journal, May 1984
- Nicolis, G.; Mansour, M. Malek
- Physical Review A, Vol. 29, Issue 5
Fluctuation-enhanced electric conductivity in electrolyte solutions
journal, September 2017
- Péraud, Jean-Philippe; Nonaka, Andrew J.; Bell, John B.
- Proceedings of the National Academy of Sciences, Vol. 114, Issue 41
Active Particles in Complex and Crowded Environments
journal, November 2016
- Bechinger, Clemens; Di Leonardo, Roberto; Löwen, Hartmut
- Reviews of Modern Physics, Vol. 88, Issue 4
Estimating hydrodynamic quantities in the presence of microscopic fluctuations
journal, January 2006
- Garcia, Alejandro
- Communications in Applied Mathematics and Computational Science, Vol. 1, Issue 1
Fluctuating hydrodynamics of multi-species reactive mixtures
journal, June 2015
- Bhattacharjee, Amit Kumar; Balakrishnan, Kaushik; Garcia, Alejandro L.
- The Journal of Chemical Physics, Vol. 142, Issue 22
Low Mach number fluctuating hydrodynamics of multispecies liquid mixtures
journal, March 2015
- Donev, Aleksandar; Nonaka, Andy; Bhattacharjee, Amit Kumar
- Physics of Fluids, Vol. 27, Issue 3
Fluctuating hydrodynamics and principal oscillation pattern analysis
journal, September 1991
- Garc�a, Alejandro; Penland, C�cile
- Journal of Statistical Physics, Vol. 64, Issue 5-6
Numerical integration of the fluctuating hydrodynamic equations
journal, April 1987
- Garcia, Alejandro L.; Mansour, M. Malek; Lie, George C.
- Journal of Statistical Physics, Vol. 47, Issue 1-2
Scaling of submicrometric Turing patterns in concentrated growing systems
journal, September 2018
- Morgado, Gabriel; Nowakowski, Bogdan; Lemarchand, Annie
- Physical Review E, Vol. 98, Issue 3
Numerical methods for the stochastic Landau-Lifshitz Navier-Stokes equations
journal, July 2007
- Bell, John B.; Garcia, Alejandro L.; Williams, Sarah A.
- Physical Review E, Vol. 76, Issue 1
Thermal fluctuations in a Knudsen flow system
journal, January 1987
- Garcia, Alejandro L.
- Physics Letters A, Vol. 119, Issue 8
Nonequilibrium Casimir-like Forces in Liquid Mixtures
journal, July 2015
- Kirkpatrick, T. R.; Ortiz de Zárate, J. M.; Sengers, J. V.
- Physical Review Letters, Vol. 115, Issue 3
Rayleigh scattering in a liquid far from thermal equilibrium
journal, January 1992
- Segrè, P. N.; Gammon, R. W.; Sengers, J. V.
- Physical Review A, Vol. 45, Issue 2
Rayleigh–Brillouin scattering in molecular Oxygen by CT-DSMC simulations
journal, July 2017
- Bruno, Domenico; Frezzotti, Aldo; Ghiroldi, Gian Pietro
- European Journal of Mechanics - B/Fluids, Vol. 64
Fractal fronts of diffusion in microgravity
journal, April 2011
- Vailati, Alberto; Cerbino, Roberto; Mazzoni, Stefano
- Nature Communications, Vol. 2, Issue 1
Direct simulation Monte Carlo investigation of the Richtmyer-Meshkov instability
journal, August 2015
- Gallis, M. A.; Koehler, T. P.; Torczynski, J. R.
- Physics of Fluids, Vol. 27, Issue 8
Fluctuating hydrodynamics in a dilute gas
journal, March 1987
- Mansour, M. Malek; Garcia, Alejandro L.; Lie, George C.
- Physical Review Letters, Vol. 58, Issue 9
A convergence proof for Bird's direct simulation Monte Carlo method for the Boltzmann equation
journal, February 1992
- Wagner, Wolfgang
- Journal of Statistical Physics, Vol. 66, Issue 3-4
Diffusive Transport by Thermal Velocity Fluctuations
journal, May 2011
- Donev, Aleksandar; Bell, John B.; de la Fuente, Anton
- Physical Review Letters, Vol. 106, Issue 20
Monte Carlo simulation of light scattering spectra in atomic gases
journal, May 2006
- Bruno, D.; Capitelli, M.; Longo, S.
- Chemical Physics Letters, Vol. 422, Issue 4-6
Modeling multiphase flow using fluctuating hydrodynamics
journal, September 2014
- Chaudhri, Anuj; Bell, John B.; Garcia, Alejandro L.
- Physical Review E, Vol. 90, Issue 3
Stochastic Simulation of Chemical Kinetics
journal, May 2007
- Gillespie, Daniel T.
- Annual Review of Physical Chemistry, Vol. 58, Issue 1
Fluctuating hydrodynamics of multispecies nonreactive mixtures
journal, January 2014
- Balakrishnan, Kaushik; Garcia, Alejandro L.; Donev, Aleksandar
- Physical Review E, Vol. 89, Issue 1
Low Mach number fluctuating hydrodynamics of diffusively mixing fluids
journal, January 2014
- Donev, Aleksandar; Nonaka, Andy; Sun, Yifei
- Communications in Applied Mathematics and Computational Science, Vol. 9, Issue 1
A theory of spontaneous fluctuations in viscous fluids far from equilibrium
journal, January 1978
- Keizer, Joel
- Physics of Fluids, Vol. 21, Issue 2
Stochastic theory of adiabatic explosion
journal, July 1983
- Baras, F.; Nicolis, G.; Mansour, M. Malek
- Journal of Statistical Physics, Vol. 32, Issue 1
Onset of homogeneous oscillations in reactive systems
journal, June 2001
- Mansour, M. Malek; Dethier, J.; Baras, F.
- The Journal of Chemical Physics, Vol. 114, Issue 21
Fluctuation-induced and Nonequilibrium-induced Bifurcations in a Thermochemical System
journal, September 2004
- Lemarchand, A.; Nowakowski, B.
- Molecular Simulation, Vol. 30, Issue 11-12
Fluctuation theorem for the effusion of an ideal gas
journal, August 2006
- Cleuren, B.; Van den Broeck, C.; Kawai, R.
- Physical Review E, Vol. 74, Issue 2
On the accuracy of finite-volume schemes for fluctuating hydrodynamics
journal, January 2010
- Donev, Aleksandar; Vanden-Eijnden, Eric; Garcia, Alejandro
- Communications in Applied Mathematics and Computational Science, Vol. 5, Issue 2
Enhancement of diffusive transport by non-equilibrium thermal fluctuations
journal, June 2011
- Donev, Aleksandar; Bell, John B.; de la Fuente, Anton
- Journal of Statistical Mechanics: Theory and Experiment, Vol. 2011, Issue 06
A Hybrid Particle-Continuum Method for Hydrodynamics of Complex Fluids
journal, January 2010
- Donev, Aleksandar; Bell, John B.; Garcia, Alejandro L.
- Multiscale Modeling & Simulation, Vol. 8, Issue 3
Thermal Fluctuations in a Layer of Liquid Subjected to Temperature Gradients with and without the Influence of Gravity
journal, June 2011
- Takacs, Christopher J.; Vailati, Alberto; Cerbino, Roberto
- Physical Review Letters, Vol. 106, Issue 24
Staggered Schemes for Fluctuating Hydrodynamics
journal, January 2012
- Balboa, Florencio; Bell, John B.; Delgado-Buscalioni, Rafael
- Multiscale Modeling & Simulation, Vol. 10, Issue 4
Gaskinetics and gasdynamics of orifice flow
journal, February 1961
- Liepmann, Hans W.
- Journal of Fluid Mechanics, Vol. 10, Issue 1
Low Mach number fluctuating hydrodynamics of binary liquid mixtures
journal, January 2015
- Nonaka, Andrew; Sun, Yifei; Bell, John
- Communications in Applied Mathematics and Computational Science, Vol. 10, Issue 2
Statistical error in particle simulations of hydrodynamic phenomena
journal, May 2003
- Hadjiconstantinou, Nicolas G.; Garcia, Alejandro L.; Bazant, Martin Z.
- Journal of Computational Physics, Vol. 187, Issue 1
Computational fluctuating fluid dynamics
journal, August 2010
- Bell, John B.; Garcia, Alejandro L.; Williams, Sarah A.
- ESAIM: Mathematical Modelling and Numerical Analysis, Vol. 44, Issue 5
The Direct Simulation Monte Carlo Method
journal, January 1997
- Alexander, Francis J.; Garcia, Alejandro L.
- Computers in Physics, Vol. 11, Issue 6
Computational fluctuating fluid dynamics
text, January 2010
- B., Bell, John; A., Williams, Sarah; L., Garcia, Alejandro
- The University of North Carolina at Chapel Hill University Libraries
Algorithm Refinement for Fluctuating Hydrodynamics
text, January 2008
- B., Bell, John; A., Williams, Sarah; L., Garcia, Alejandro
- The University of North Carolina at Chapel Hill University Libraries
On the Accuracy of Finite-Volume Schemes for Fluctuating Hydrodynamics
preprint, January 2009
- Donev, A.; Vanden-Eijnden, E.; Garcia, A. L.
- arXiv
Enhancement of Diffusive Transport by Nonequilibrium Thermal Fluctuations
text, January 2011
- Donev, A.; de la Fuente, A.; Bell, J. B.
- arXiv
Staggered Schemes for Fluctuating Hydrodynamics
preprint, January 2011
- Balboa, F. B.; BelL, J. B.; Delgado-Buscalioni, R.
- arXiv
Low Mach Number Fluctuating Hydrodynamics of Diffusively Mixing Fluids
text, January 2012
- Donev, A.; Nonaka, A. J.; Sun, Y.
- arXiv
Low Mach Number Fluctuating Hydrodynamics of Multispecies Liquid Mixtures
text, January 2014
- Donev, A.; Nonaka, A. J.; Bhattacharjee, A. K.
- arXiv
Hydrodynamic Collective Effects of Active Protein Machines in Solution and Lipid Bilayers
text, January 2015
- Mikhailov, Alexander; Kapral, Raymond
- arXiv
Fluctuation-enhanced electric conductivity in electrolyte solutions
preprint, January 2017
- Péraud, Jean-Philippe; Nonaka, Andy; Bell, John B.
- arXiv
Numerical Methods for the Stochastic Landau-Lifshitz Navier-Stokes Equations
text, January 2006
- Bell, John B.; Garcia, Alejandro L.; Williams, Sarah A.
- arXiv
Rayleigh scattering in a liquid far from thermal equilibrium
journal, January 1992
- Segrè, P. N.; Gammon, R. W.; Sengers, J. V.
- Physical Review A, Vol. 45, Issue 2
Hydrodynamic Collective Effects of Active Protein Machines in Solution and Lipid Bilayers
text, January 2015
- Mikhailov, Alexander; Kapral, Raymond
- arXiv
A coarse-graining perspective on multiscale modeling and simulation
text, January 2017
- Bell, John; Donev, Aleksandar
- figshare
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