Nonorthogonal central-moments-based lattice Boltzmann scheme in three dimensions

Alessandro De Rosis
Phys. Rev. E 95, 013310 – Published 27 January 2017
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Abstract

We present an alternative three-dimensional lattice Boltzmann collision operator consisting of a nonorthogonal basis of central moments. Our formulation is characterized by an intelligible derivation with a relatively simple and quite general implementation. It is successfully validated against several established, well-consolidated, well-defined benchmark problems, showing excellent properties in terms of accuracy and convergence. If compared to the adoption of the classical Bhatnagar-Gross-Krook operator, our model possesses superior stability.

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  • Received 17 October 2016
  • Revised 31 December 2016

DOI:https://doi.org/10.1103/PhysRevE.95.013310

©2017 American Physical Society

Physics Subject Headings (PhySH)

Fluid Dynamics

Authors & Affiliations

Alessandro De Rosis*

  • Department of Biomedical Engineering Technion - Israel Institute of Technology, 32000 Haifa, Israel

  • *alessandro@bm.technion.ac.il; also at Université Lyon, Ecole Centrale de Lyon, CNRS, Laboratoire de Mécanique des Fluides et d'Acoustique, F-69134 Ecully cedex, France.

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Issue

Vol. 95, Iss. 1 — January 2017

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