By introducing an intentional anisotropy into the third-order moment equilibrium of the scalar lattice Boltzmann solver and combining it with the flow solver's non-equilibrium moments, the authors derive local, second-order-accurate expressions for the full velocity gradient tensor and vorticity.
Aref, 150 years of vortex dynamics, Theoretical and Computational Fluid Dynamics 24 (2010) 1–7
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Local Vorticity Computation in Double Distribution Functions based Lattice Boltzmann Methods for Flow and Scalar Transport
By introducing an intentional anisotropy into the third-order moment equilibrium of the scalar lattice Boltzmann solver and combining it with the flow solver's non-equilibrium moments, the authors derive local, second-order-accurate expressions for the full velocity gradient tensor and vorticity.