Journal
ENTROPY
Volume 23, Issue 4, Pages -Publisher
MDPI
DOI: 10.3390/e23040475
Keywords
lattice Boltzmann method; Galilean invariance; extended equilibrium
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Funding
- European Research Council (ERC) [834763-PonD]
- ETH Research Grant [ETH-13 17-1]
- Swiss National Super Computing Center CSCS [s897]
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The translation describes a method of modifying conventional lattice Boltzmann models to remain effective at higher flow velocities and temperatures, and validates this approach through simulations of benchmark problems in two and three dimensions.
Conventional lattice Boltzmann models for the simulation of fluid dynamics are restricted by an error in the stress tensor that is negligible only for small flow velocity and at a singular value of the temperature. To that end, we propose a unified formulation that restores Galilean invariance and the isotropy of the stress tensor by introducing an extended equilibrium. This modification extends lattice Boltzmann models to simulations with higher values of the flow velocity and can be used at temperatures that are higher than the lattice reference temperature, which enhances computational efficiency by decreasing the number of required time steps. Furthermore, the extended model also remains valid for stretched lattices, which are useful when flow gradients are predominant in one direction. The model is validated by simulations of two- and three-dimensional benchmark problems, including the double shear layer flow, the decay of homogeneous isotropic turbulence, the laminar boundary layer over a flat plate and the turbulent channel flow.
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