| Summary: | A recently introduced family of lattice Boltzmann (LB) models (Karlin, Bösch,
Chikatamarla, Phys. Rev. E, 2014; Ref [22]) is studied in detail for
incompressible two-dimensional flows. A framework for developing LB models based on
entropy considerations is laid out extensively. Second order rate of convergence is
numerically confirmed and it is demonstrated that these entropy based models recover the
Navier-Stokes solution in the hydrodynamic limit. Comparison with the standard
Bhatnagar-Gross-Krook (LBGK) and the entropic lattice Boltzmann method (ELBM) demonstrates
the superior stability and accuracy for several benchmark flows and a range of grid
resolutions and Reynolds numbers. High Reynolds number regimes are investigated through
the simulation of two-dimensional turbulence, particularly for under-resolved cases.
Compared to resolved LBGK simulations, the presented class of LB models demonstrate
excellent performance and capture the turbulence statistics with good accuracy.
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