# Bhatnagar–Gross–Krook operator

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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:

where is a local equilibrium value for the population of particles in the direction of link The term 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.^{[1]}

## References

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