Abstract
A previously-developed hybrid particle-continuum method [J. B. Bell, A. Garcia and S. A. Williams, SIAM Multiscale Modeling and Simulation, 6:1256-1280, 2008] is generalized to dense fluids and two and three dimensional flows. The scheme couples an explicit fluctuating compressible Navier-Stokes solver with the Isotropic Direct Simulation Monte Carlo (DSMC) particle method [A. Donev and A. L. Garcia and B. J. Alder, J. Stat. Mech., 2009(11):P11008, 2009]. To achieve bidirectional dynamic coupling between the particle (microscale) and continuum (macroscale) regions, the continuum solver provides state-based boundary conditions to the particle subdomain, while the particle solver provides flux-based boundary conditions for the continuum subdomain; see [A. Donev, J.B. Bell, A. Garcia, and B. Alder, SIAM Multiscale Modeling and Simulation, 8:871-911, 2010.] for details. This paper summarizes two important numerical tests: First, the equilibrium diffusive (Brownian) motion of a large spherical bead suspended in a particle fluid is examined, demonstrating that the hybrid method correctly reproduces the velocity autocorrelation function of the bead but only if thermal fluctuations are included in the continuum solver. Second, the new scheme is applied to the well-known adiabatic piston problem and we find that it correctly reproduces the slow non-equilibrium relaxation of the piston toward thermodynamic equilibrium but, again, only if the continuum solver includes stochastic (white-noise) flux terms. These two fundamental examples clearly demonstrate the need to include fluctuations in continuum solvers employed in hybrid multiscale methods.
| Original language | English (US) |
|---|---|
| Title of host publication | 27th International Symposium on Rarefied Gas Dynamics - 2010, RGD27 |
| Pages | 551-556 |
| Number of pages | 6 |
| Volume | 1333 |
| Edition | PART 1 |
| DOIs | |
| State | Published - 2011 |
| Event | 27th International Symposium on Rarefied Gas Dynamics, RGD27 - Pacific Grove, CA, United States Duration: Jul 10 2011 → Jul 15 2011 |
Other
| Other | 27th International Symposium on Rarefied Gas Dynamics, RGD27 |
|---|---|
| Country | United States |
| City | Pacific Grove, CA |
| Period | 7/10/11 → 7/15/11 |
Fingerprint
Keywords
- Brownian dynamics
- Hydrodynamic fluctuations
- Multi-scale methods
- Particle/continuum hybrids
ASJC Scopus subject areas
- Physics and Astronomy(all)
Cite this
Hydrodynamic fluctuations in a particle-continuum hybrid for complex fluids. / Garcia, Alejandro L.; Donev, Aleksandar; Bell, John B.; Alder, Berni J.
27th International Symposium on Rarefied Gas Dynamics - 2010, RGD27. Vol. 1333 PART 1. ed. 2011. p. 551-556.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - Hydrodynamic fluctuations in a particle-continuum hybrid for complex fluids
AU - Garcia, Alejandro L.
AU - Donev, Aleksandar
AU - Bell, John B.
AU - Alder, Berni J.
PY - 2011
Y1 - 2011
N2 - A previously-developed hybrid particle-continuum method [J. B. Bell, A. Garcia and S. A. Williams, SIAM Multiscale Modeling and Simulation, 6:1256-1280, 2008] is generalized to dense fluids and two and three dimensional flows. The scheme couples an explicit fluctuating compressible Navier-Stokes solver with the Isotropic Direct Simulation Monte Carlo (DSMC) particle method [A. Donev and A. L. Garcia and B. J. Alder, J. Stat. Mech., 2009(11):P11008, 2009]. To achieve bidirectional dynamic coupling between the particle (microscale) and continuum (macroscale) regions, the continuum solver provides state-based boundary conditions to the particle subdomain, while the particle solver provides flux-based boundary conditions for the continuum subdomain; see [A. Donev, J.B. Bell, A. Garcia, and B. Alder, SIAM Multiscale Modeling and Simulation, 8:871-911, 2010.] for details. This paper summarizes two important numerical tests: First, the equilibrium diffusive (Brownian) motion of a large spherical bead suspended in a particle fluid is examined, demonstrating that the hybrid method correctly reproduces the velocity autocorrelation function of the bead but only if thermal fluctuations are included in the continuum solver. Second, the new scheme is applied to the well-known adiabatic piston problem and we find that it correctly reproduces the slow non-equilibrium relaxation of the piston toward thermodynamic equilibrium but, again, only if the continuum solver includes stochastic (white-noise) flux terms. These two fundamental examples clearly demonstrate the need to include fluctuations in continuum solvers employed in hybrid multiscale methods.
AB - A previously-developed hybrid particle-continuum method [J. B. Bell, A. Garcia and S. A. Williams, SIAM Multiscale Modeling and Simulation, 6:1256-1280, 2008] is generalized to dense fluids and two and three dimensional flows. The scheme couples an explicit fluctuating compressible Navier-Stokes solver with the Isotropic Direct Simulation Monte Carlo (DSMC) particle method [A. Donev and A. L. Garcia and B. J. Alder, J. Stat. Mech., 2009(11):P11008, 2009]. To achieve bidirectional dynamic coupling between the particle (microscale) and continuum (macroscale) regions, the continuum solver provides state-based boundary conditions to the particle subdomain, while the particle solver provides flux-based boundary conditions for the continuum subdomain; see [A. Donev, J.B. Bell, A. Garcia, and B. Alder, SIAM Multiscale Modeling and Simulation, 8:871-911, 2010.] for details. This paper summarizes two important numerical tests: First, the equilibrium diffusive (Brownian) motion of a large spherical bead suspended in a particle fluid is examined, demonstrating that the hybrid method correctly reproduces the velocity autocorrelation function of the bead but only if thermal fluctuations are included in the continuum solver. Second, the new scheme is applied to the well-known adiabatic piston problem and we find that it correctly reproduces the slow non-equilibrium relaxation of the piston toward thermodynamic equilibrium but, again, only if the continuum solver includes stochastic (white-noise) flux terms. These two fundamental examples clearly demonstrate the need to include fluctuations in continuum solvers employed in hybrid multiscale methods.
KW - Brownian dynamics
KW - Hydrodynamic fluctuations
KW - Multi-scale methods
KW - Particle/continuum hybrids
UR - http://www.scopus.com/inward/record.url?scp=80054048123&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=80054048123&partnerID=8YFLogxK
U2 - 10.1063/1.3562705
DO - 10.1063/1.3562705
M3 - Conference contribution
SN - 9780735408890
VL - 1333
SP - 551
EP - 556
BT - 27th International Symposium on Rarefied Gas Dynamics - 2010, RGD27
ER -