Core Numerical Methodologies
Low Mach and Compressible Fluctuating Hydrodynamics Solvers
Immersed Boundaries
Direct Simulation Monte Carlo
We use our algorithms and codes to study the following applications:
Complex Fluids
Room Temperature Ionic Liquids
Electrolytes
Stochastic Chemistry
Low Mach Number Multispecies Mixtures
Membranes and Complex Interfaces
Transpiration
Active Matter
Active Particles
Miscellaneous Projects
Graphene Squeeze Film Resonators
Publications
D. R. Ladiges, S. P. Carney, A. Nonaka, K. Kymko, G. C. Moore, A. L. Garcia, S. R. Natesh, A. Donev and J. B. Bell,
A Discrete Ion Stochastic Continuum Overdamped Solvent Algorithm for Modeling Electrolytes,
submitted for publication, 2020.
[arxiv]
K. Klymko, S. P. Carney, A. Nonaka, A. L. Garcia, and J. B. Bell,
A Low Mach Number Fluctuating Hydrodynamics Model For Ionic Liquids,
to appear in Physical Review Fluids, 2020.
[arxiv]
Nicholas Z. Liu, Daniel R. Ladiges, Jason Nassios, and John E. Sader, Acoustic flows in a slightly rarefied gas,
Physical Review Fluids, 5(4), 043401, 2019.
[doi]
Yong Shi, Daniel. R. Ladiges, and John E. Sader,
Origin of spurious oscillations in lattice Boltzmann simulations of oscillatory noncontinuum gas flows,
Physical Review E, 100(5), 053317, 2019.
[doi]
D. R. Ladiges, A. J. Nonaka, J. B. Bell, and A. L. Garcia,
"On the Suppression and Distortion of Non-Equilibrium Fluctuations by Transpiration,"
Phys. Fluids, 149, 052002, 2019.
[doi]
A. Donev, A. J. Nonaka, C. Kim, A. L. Garcia and J. B. Bell,
"Fluctuating hydrodynamics of electrolytes at electroneutral scales,"
Phys. Rev. Fluids. 4, 4, 2019.
[link]
A. Donev, A. L. Garcia, J.-P. Péraud, A. J. Nonaka and J. B. Bell,
"Fluctuating Hydrodynamics and Debye-Hückel-Onsager Theory for Electrolytes,"
submitted for publication
[arxiv]
C. Kim, A. Nonaka, J.B. Bell, A.L. Garcia, and A. Donev,
"Fluctuating hydrodynamics of reactive liquid mixtures,"
J. Chem. Phys. 149, 084113, 2018.
[doi]
[arxiv]
J-P. Péraud, A. Nonaka, J. B. Bell, A. Donev, and A. L. Garcia,
"Fluctuation-Enhanced Electric Conductivity in Electrolyte Solutions,"
P. Natl. Acad. Sci. USA, 114, 41, 2017.
[doi]
[arxiv]
C. Kim, A. Nonaka, J. B. Bell, A. L. Garcia, and A. Donev,
"Stochastic Simulation of Reaction-Diffusion Systems: A Fluctuating-Hydrodynamics Approach,"
J. Chem. Phys. 146, 124110, 2017.
[doi]
[arxiv]
J-P. Péraud, A. Nonaka, A. Chaudhri, J. B. Bell, A. Donev, and A. L. Garcia,
"Low Mach Number Fluctuating Hydrodynamics for Electrolytes,"
Phys. Rev. Fluids 1, 074103, 2016.
[doi]
[arxiv]
A. K. Bhattacharjee, K. Balakrishnan, A. L. Garcia, J. B. Bell, and A. Donev,
"Fluctuating Hydrodynamics of Multispecies Reactive Mixtures,"
J. Chem. Phys. 142, 224107, 2015.
[doi]
[arxiv]
A. Donev, A. Nonaka, A. K. Bhattacharjee, A. L. Garcia, and J. B. Bell,
"Low Mach Number Fluctuating Hydrodynamics of Multispecies Liquid Mixtures,"
Phys. Fluids 27, 037103, 2015.
[doi]
[arxiv]
A. Nonaka, Y. Sun, J. B. Bell, and A. Donev,
"Low Mach Number Fluctuating Hydrodynamics of Binary Liquid Mixtures,"
Comm. App. Math. Comp. Sci. 10, 163-204, 2015.
[doi]
[arxiv]
A. Chaudhri, J. B. Bell, A. L. Garcia, and A. Donev,
"Modeling Multi-Phase Flow Using Fluctuating Hydrodynamics",
Phys. Rev. E 90, 033014, 2014.
[doi]
[arxiv]
M. Cai, A. Nonaka, B. E. Griffith, J. B. Bell, and A. Donev,
"Efficient Variable-Coefficient Finite-Volume Stokes Solvers,"
Commun. Comput. Phys. 16, 1263-1297, 2014.
[doi]
[arxiv]
A. Donev, A. Nonaka, Y. Sun, T. Fai, A. Garcia, and J. B. Bell,
"Low Mach Number Fluctuating Hydrodynamics of Diffusively Mixing Fluids,"
Comm. App. Math. Comp. Sci. 9, 47-105, 2014.
[doi]
[arxiv]
K. Balakrishnan, A. Garcia, A. Donev, and J. B. Bell,
"Fluctuating Hydrodynamics of Multispecies Nonreactive Mixtures,"
Phys. Rev. E 89, 013017, 2014.
[doi]
[arxiv]
F. Balboa Usabiaga, J. B. Bell, R. Delgado-Buscalioni, A. Donev, T. Fai, B. Griffith, and C. Peskin,
"Staggered Schemes for Fluctuating Hydrodynamics,"
Multiscale Model. Simul. 10, 1360-1408, 2012.
[doi]
[arxiv]
K. Balakrishnan, J. B. Bell, A. Donev, and A. Garcia,
"Fluctuating Hydrodynamics and Direct Simulation Monte Carlo,"
28th International Symposium on Rarefied Gas Dynamics, AIP Conf. Proc. 1501, 695-704, 2012.
[pdf]
A. Garcia, A. Donev, J. B. Bell, and B. Alder,
"Hydrodynamic Fluctuations in a Particle-Continuum Hybrid for Complex Fluids,"
27th International Symposium on Rarefied Gas Dynamics, AIP Conf. Proc. 1333, 551-556, 2011.
[pdf]
A. Donev, A. de la Fuente, J. B. Bell, and A. L. Garcia,
"Enhancement of Diffusive Transport by Nonequilibrium Thermal Fluctuations,"
JSTAT 2011, P06014, (2011).
[doi]
[arxiv]
A. Donev, A. de la Fuente, J. B. Bell, and A. L. Garcia,
"Diffusive Transport by Thermal Velocity Fluctuations,"
Phys. Rev. Lett. 106, 204501, 2011.
[doi]
[arxiv]
A. Donev, J. B. Bell, A. L. Garcia, and B. J. Alder,
"A Hybrid Particle-Continuum Method for Hydrodynamics of Complex Fluids,"
Multiscale Model. Simul. 8, 871-911, 2010.
[doi
[arxiv]
A. Donev, E. Vanden-Eijnden, A. Garcia, and J. Bell,
"On the Accuracy of Explicit Finite-Volume Schemes for Fluctuating Hydrodynamics,"
Comm. App. Math. Comp. Sci. 5, 149-197, 2010.
[doi]
[arxiv]
J. B. Bell, A. L. Garcia, and S. A. Williams,
"Computational Fluctuating Fluid Dynamics,"
ESAIM: Mathematical Modelling and Numerical Analysis 44, 1085-1105, 2010.
[doi]
[pdf]
A. Donev, A. L. Garcia, and B. J. Alder,
"A Thermodynamically-Consistent Non-Ideal Stochastic Hard Sphere Fluid,"
J. Stat. Mech., P11008, 2009.
[doi]
[arxiv]
S. A. Williams, J. B. Bell, and A. L. Garcia,
"Algorithm Refinement for Fluctuating Hydrodynamics,"
Multiscale Model. Simul. 6, 1256-1280, 2008.
[doi]
[pdf]
J. B. Bell, A. L. Garcia, and S. A. Williams,
"Numerical Methods for the Stochastic Landau-Lifshitz Navier-Stokes Equations,"
Phys. Rev. E 76, 016708, 2007.
[doi]
[arxiv]
J. B. Bell, J. Foo, and A. L. Garcia,
"Algorithm Refinement for the Stochastic Burgers' Equation,"
J. Comp. Phys. 223, 451-468, 2007.
[doi]
[pdf]
A. L. Garcia, J. B. Bell, W. Y. Crutchfield, and B. J. Alder,
"Adaptive Mesh and Algorithm Refinement Using Direct Simulation Monte Carlo,"
J. Comp. Phys. 154, 134-155, 1999.
[doi]
[ps.gz]