DOI: 10.1073/pnas.0401228101. Nanohydrodynamics simulations: An atomistic view of the Rayleigh

Nanohydrodynamics simulations: An atomistic view of the Rayleigh–Taylor instability

10.1073/pnas.0401228101

Crossref journal-article

Proceedings of the National Academy of Sciences

Proceedings of the National Academy of Sciences (341)

Abstract

Nanohydrodynamics simulations, hydrodynamics on the nanometer and nanosecond scale by molecular dynamics simulations for up to 100 million particles, are performed on the latest generation of supercomputers. Such simulations exhibit Rayleigh–Taylor instability, the mixing of a heavy fluid on top of a light in the presence of a gravitational field, initiated by thermal fluctuations at the interface, leading to the chaotic regime in the long-time evolution of the mixing process. The early-time behavior is in general agreement with linear analysis of continuum theory (Navier–Stokes), and the late-time behavior agrees quantitatively with experimental observations. Nanohydrodynamics provides insights into the turbulent mixing process that are inaccessible to either continuum calculations or to experiment.

Bibliography

Kadau, K., Germann, T. C., Hadjiconstantinou, N. G., Lomdahl, P. S., Dimonte, G., Holian, B. L., & Alder, B. J. (2004). Nanohydrodynamics simulations: An atomistic view of the RayleighâTaylor instability. Proceedings of the National Academy of Sciences, 101(16), 5851â5855.

Authors 7

Kai Kadau (first)
Timothy C. Germann (additional)
Nicolas G. Hadjiconstantinou (additional)
Peter S. Lomdahl (additional)
Guy Dimonte (additional)
Brad Lee Holian (additional)
Berni J. Alder (additional)

References 34 Referenced 97

Kadau K. Germann T. C. & Lomdahl P. S. (2004) Int. J. Mod. Phys. C 15 in press. (10.1142/S0129183104005590)
Rayleigh, Lord (1883) Proc. London Math. Soc. 14, 170–177. / Proc. London Math. Soc. (1883)
10.1098/rspa.1950.0052
Di Prima R. C. & Swinney H. L. (1981) Hydrodynamic Instabilities and the Transition to Turbulence eds. Swinney H. L. & Gollup J. P. (Springer Berlin).
10.1063/1.870309
Cook, A. W. & Zhou, Y. (2002) Phys. Rev. E 66, 026312-1-12. / Phys. Rev. E (2002)
10.1016/S0167-2789(99)00177-3
Chandrasekhar S. (1961) Hydrodynamic and Hydromagnetic Stability (Oxford Univ. Press Oxford).
10.1063/1.1761784
10.1063/1.861831
Youngs, D. L. (1990) Phys. Fluids A 3, 1312–1320. / Phys. Fluids A (1990)
10.1017/S0022112001005377
10.1006/jcph.2000.6590
10.1073/pnas.032568799
10.1063/1.873491
10.1063/1.1746292
10.1063/1.1743957
10.1103/PhysRevA.1.18
Hoover, W. G. & Ashurst, W. T. (1975) Adv. Theor. Chem. 1, 1–51. / Adv. Theor. Chem. (1975)
10.1063/1.445384
10.1103/PhysRevA.22.2798
10.1103/PhysRevA.40.1999
10.1103/PhysRevE.61.R21
10.1103/PhysRevB.51.11275
Harrison, W. J. (1908) Proc. London Math. Soc. 6, 396–405. / Proc. London Math. Soc. (1908)
Ashurst W. T. (1974) Ph.D. thesis (Sandia National Laboratories Livermore CA).
10.1163/156856193X00844
Lomdahl P. S. Tamayo P. Gronbech-Jensen N. & Beazley D. M. (1993) in Proceedings of Supercomputing 93 ed. Ansell G. S. (IEEE Computer Society Press Los Alamitos CA) pp. 520–527. (10.1145/169627.169794)
10.1063/1.4822549
10.1063/1.874060
Dimonte G. Youngs D. L. Dimits A. Weber S. Marinak M. Wunsch S. Garasi C. Robinson A. Andrews M. J. Ramaprabhu P. et al. (2004) Phys. Fluids 16 in press. (10.1063/1.1688328)
Dimonte G. (2004) Phys. Rev. E 69 in press. (10.1103/PhysRevE.69.056305)
10.1086/342267
10.1126/science.289.5482.1165

Dates

Type	When
Created	21 years, 4 months ago (April 5, 2004, 8:54 p.m.)
Deposited	8 months, 1 week ago (Dec. 15, 2024, 2:38 p.m.)
Indexed	3 months, 2 weeks ago (May 5, 2025, 2:02 a.m.)
Issued	21 years, 4 months ago (April 5, 2004)
Published	21 years, 4 months ago (April 5, 2004)
Published Online	21 years, 4 months ago (April 5, 2004)
Published Print	21 years, 4 months ago (April 20, 2004)

Funders 0

None

BibTeX

@article{Kadau_2004, title={Nanohydrodynamics simulations: An atomistic view of the Rayleigh–Taylor instability}, volume={101}, ISSN={1091-6490}, url={http://dx.doi.org/10.1073/pnas.0401228101}, DOI={10.1073/pnas.0401228101}, number={16}, journal={Proceedings of the National Academy of Sciences}, publisher={Proceedings of the National Academy of Sciences}, author={Kadau, Kai and Germann, Timothy C. and Hadjiconstantinou, Nicolas G. and Lomdahl, Peter S. and Dimonte, Guy and Holian, Brad Lee and Alder, Berni J.}, year={2004}, month=apr, pages={5851–5855} }

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