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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.

In Gkeyll we currently have two different collision operators for use in kinetic models: the Bhatnagar–Gross–Krook (BGK) and the Dougherty operators. We referred to the latter as the LBO for the legacy of Lenard-Bernstein.

4.12. Bhatnagar-Gross-Krook Collision Operator The implementation of the BGK-based collision operator is based on the publications by [62] and [46]. It allows the simulation of gas flows in the continuum and transitional regimes, where the DSMC method is computationally too expensive.

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Jul 1, 2020 · This system is the Euler system of mono-atomic perfect gas dynamics. In their paper [a1], P.L. Bhatnagar, E.P. Gross, and M. Krook introduced a simplified Boltzmann-like model (called the BGK-model) which satisfies all the properties cited above. It is written in the form (a1) with \begin {equation} \tag {a7} Q ( f ) = M _ { f } - f, \end ...

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Bhatnagar, Gross and Krook (BGK) proposed a relaxation term for the collision integral $ Q$ as follows $$J = \frac {1} {\tau} (f^ {eq} - f)$$ where $f^ {eq}$ is the distribution at equilibrium. $Q$ …

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Bernstein–Greene–Kruskal modes (a.k.a. BGK modes) are nonlinear electrostatic waves that propagate in a collisionless plasma. They are nonlinear solutions to the Vlasov - Poisson system of equations in plasma physics, [1] and are named after physicists Ira B. Bernstein, John M. Greene, and Martin D. Kruskal, who solved and published the ...