LATTICE–BOLTZMANN SIMULATION OF DENSE NANOFLOWS: A COMPARISON WITH MOLECULAR DYNAMICS AND NAVIER–STOKES SOLUTIONS

S. Succi (), A. A. Mohammad () and J. Horbach ()
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S. Succi: Istituto Applicazioni Calcolo, CNR, V.le del Policlinico 137, 00161, Roma, Italy
A. A. Mohammad: Department of Mechanical and Manufacturing Engineering, University of Calgary, Calgary, Alberta T2N 1N4, Canada
J. Horbach: Insitut für Physik, Johannes Gutenberg–Universität Mainz, Staudinger Weg 7, D–55099 Mainz, Germany

International Journal of Modern Physics C (IJMPC), 2007, vol. 18, issue 04, 667-675

Abstract: In a recent work, a dense fluid flow across a nanoscopic thin plate was simulated by means of Molecular Dynamics (MD) and Lattice Boltzmann (LB) methods. It was found that in order to recover quantitative agreement with MD results, the LB simulation must be pushed down to sub–nanoscopic scales, i.e. fractions of the range of molecular interactions. In this work, we point out that in this sub–nanoscopic regime, the LB method works outside the hydrodynamic limit at the level of a single cell spacing. A quantitative comparison with the Navier–Stokes (NS) solution shows however that LB and NS results are quite similar, thereby indicating that, apart for a small region past the plate, this nanoflow is still well described by hydrodynamic equations.

Keywords: Lattice–Boltzmann; Molecular–Dynamics; Navier–Stokes; nanoflows; 47.15.-x; 67.40.Hf; 82.45.Jn (search for similar items in EconPapers)
Date: 2007
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DOI: 10.1142/S0129183107010929

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