Simulations of Heated Bluff-Bodies with the Multi-Speed Entropic Lattice Boltzmann Method

Frapolli, Nicolò ; Chikatamarla, Shyam ; Karlin, Ilya

In: Journal of Statistical Physics, 2015, vol. 161, no. 6, p. 1434-1452

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    Summary
    Two-dimensional simulations of heated circular and square cylinders are performed in order to validate a recently introduced entropic thermal lattice Boltzmann model (Frapolli et al. in Phys Rev E 90:043306, 2014), and the new boundary conditions for complex walls and multi-speed lattices. Validation is carried out by comparing simulation results with other reference simulations and experiments. For the hydrodynamic field, the wake structure was analyzed by means of the wake recirculation length for both steady and unsteady two-dimensional regimes, by comparing the Strouhal number of the vortex shedding associated with the first instability of the hydrodynamic field, and qualitatively by showing the streamlines for different Reynolds numbers. For the thermal part of the simulations, isotherms and mean Nusselt number are qualitatively and quantitatively compared with the literature results. All the computed quantities are found to agree excellently with the reference data available in the literature. This opens door for accurate simulations in complex geometries in thermal and compressible flow regimes with multi-speed lattices.