Volume 116, Number 4, November 2016
|Number of page(s)||7|
|Section||Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics|
|Published online||03 January 2017|
Non-orthogonal central moments relaxing to a discrete equilibrium: A D2Q9 lattice Boltzmann model
Department of Biomedical Engineering, Technion - Israel Institute of Technology, 32000 Haifa, Israel and Univ Lyon, CNRS, Laboratoire de Mécanique des Fluides et d'Acoustique, Ecole Centrale de Lyon F-69134 Ecully cedex, France
Received: 21 October 2016
Accepted: 19 December 2016
A novel D2Q9 lattice Boltzmann scheme based on the relaxation of central moments is presented. Differently from previous efforts, here we introduce a non-orthogonal basis of moments which relax to a discrete local equilibrium. Under these choices, our proposed model recovers exactly the BGK collision kernel if a unique relaxation rate is adopted. Numerical tests involving well-consolidated canonical problems highlight the excellent properties of the algorithm in terms of accuracy, convergence and stability. Moreover, our formulation shows an intelligible derivation and a simple practical implementation.
PACS: 47.11.Qr – Lattice gas / 47.11.-j – Computational methods in fluid dynamics / 05.20.Dd – Kinetic theory
© EPLA, 2016
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