Author： De Rosis Alessandro
Publisher： Edp Sciences
E-ISSN： 1286-4854|116|4|44003-44003
ISSN： 0295-5075
Source： EPL (EUROPHYSICS LETTERS), Vol.116, Iss.4, 2017-01, pp. : 44003-44003
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Abstract
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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