Bhatnagar–Gross–Krook Operator

The Bhatnagar–Gross–Krook operator (abbreviated BGK operator) term refers to a collision operator used in the Boltzmann equation and in the lattice Boltzmann method, a computational fluid dynamics technique. It is given by the following formula:

:$\Omega_i=-\tau^(n_i-n_i^)$

where $n_i^$ is a local equilibrium value for the population of particles in the direction of link $\mathbf_i$ The term $\tau$ is a relaxation time, and related to the viscosity.

The operator is named after Prabhu L. Bhatnagar, Eugene P. Gross, and Max Krook, the three scientists who introduced it in a paper in ''Physical Review'' in 1954.

References

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Statistical mechanics
Computational fluid dynamics

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