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Implicit atomistic viscosities in smoothed particle hydrodynamics.
Phys Rev E Stat Nonlin Soft Matter Phys. 2010 Oct; 82(4 Pt 2):046702.PR

Abstract

We consider a standard microscopic analysis of the transport coefficients, commonly used in nonequilibrium molecular dynamics techniques, and apply it to the smoothed particle hydrodynamics method in steady-shear flow conditions. As previously suggested by Posch [Phys. Rev. E 52, 1711 (1995)], we observe the presence of nonzero microscopic (kinetic and potential) contributions to the total stress tensor in addition to its dissipative part coming from the discretization of the Navier-Stokes continuum equations. Accordingly, the dissipative part of the shear stress produces an output viscosity equal to the input model parameter. On the other hand, the nonzero atomistic viscosities can contribute significantly to the overall output viscosity of the method. In particular, it is shown that the kinetic part, which acts similarly to an average Reynolds-like stress, becomes dominant at very low viscous flows where large velocity fluctuations occur. Remarkably, in this kinetic regime the probability distribution function of the particle accelerations is in surprisingly good agreement with non-gaussian statistics observed experimentally.

Authors+Show Affiliations

Lehrstuhl für Aerodynamik, Technische Universität München, 85747 Garching, Germany.No affiliation info availableNo affiliation info available

Pub Type(s)

Journal Article

Language

eng

PubMed ID

21230407

Citation

Ellero, Marco, et al. "Implicit Atomistic Viscosities in Smoothed Particle Hydrodynamics." Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, vol. 82, no. 4 Pt 2, 2010, p. 046702.
Ellero M, Español P, Adams NA. Implicit atomistic viscosities in smoothed particle hydrodynamics. Phys Rev E Stat Nonlin Soft Matter Phys. 2010;82(4 Pt 2):046702.
Ellero, M., Español, P., & Adams, N. A. (2010). Implicit atomistic viscosities in smoothed particle hydrodynamics. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, 82(4 Pt 2), 046702.
Ellero M, Español P, Adams NA. Implicit Atomistic Viscosities in Smoothed Particle Hydrodynamics. Phys Rev E Stat Nonlin Soft Matter Phys. 2010;82(4 Pt 2):046702. PubMed PMID: 21230407.
* Article titles in AMA citation format should be in sentence-case
TY - JOUR T1 - Implicit atomistic viscosities in smoothed particle hydrodynamics. AU - Ellero,Marco, AU - Español,Pep, AU - Adams,Nikolaus A, Y1 - 2010/10/05/ PY - 2010/05/18/received PY - 2010/08/06/revised PY - 2011/1/15/entrez PY - 2011/1/15/pubmed PY - 2011/1/15/medline SP - 046702 EP - 046702 JF - Physical review. E, Statistical, nonlinear, and soft matter physics JO - Phys Rev E Stat Nonlin Soft Matter Phys VL - 82 IS - 4 Pt 2 N2 - We consider a standard microscopic analysis of the transport coefficients, commonly used in nonequilibrium molecular dynamics techniques, and apply it to the smoothed particle hydrodynamics method in steady-shear flow conditions. As previously suggested by Posch [Phys. Rev. E 52, 1711 (1995)], we observe the presence of nonzero microscopic (kinetic and potential) contributions to the total stress tensor in addition to its dissipative part coming from the discretization of the Navier-Stokes continuum equations. Accordingly, the dissipative part of the shear stress produces an output viscosity equal to the input model parameter. On the other hand, the nonzero atomistic viscosities can contribute significantly to the overall output viscosity of the method. In particular, it is shown that the kinetic part, which acts similarly to an average Reynolds-like stress, becomes dominant at very low viscous flows where large velocity fluctuations occur. Remarkably, in this kinetic regime the probability distribution function of the particle accelerations is in surprisingly good agreement with non-gaussian statistics observed experimentally. SN - 1550-2376 UR - https://www.unboundmedicine.com/medline/citation/21230407/Implicit_atomistic_viscosities_in_smoothed_particle_hydrodynamics_ DB - PRIME DP - Unbound Medicine ER -
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