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.
Truesdell, Two measures of vorticity, Journal of Rational Mechanics and Analysis 2 (1953) 173–217
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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.