Laboratoire de Mécanique des Fluides et d'Acoustique - UMR 5509

LMFA - UMR 5509
Laboratoire de Mécanique des Fluides et d’Acoustique
Lyon
France


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Accueil > Équipes > Turbulence & Instabilités > Publications T&I > Publications T&I 2016

Article dans Europhys. Lett. (2016)

Non-orthogonal central moments relaxing to a discrete equilibrium : A D2Q9 lattice Boltzmann model

Alessandro De Rosis

Non-orthogonal central moments relaxing to a discrete equilibrium : A D2Q9 lattice Boltzmann model

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.
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