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Bhatnagar–Gross–Krook operator

Index 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. [1]

9 relations: Boltzmann equation, Computational fluid dynamics, Eugene P. Gross, Lattice Boltzmann methods, Max Krook, Operator (mathematics), Oxford University Press, Physical Review, Prabhu Lal Bhatnagar.

Boltzmann equation

The Boltzmann equation or Boltzmann transport equation (BTE) describes the statistical behaviour of a thermodynamic system not in a state of equilibrium, devised by Ludwig Boltzmann in 1872.

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Computational fluid dynamics

Computational fluid dynamics (CFD) is a branch of fluid mechanics that uses numerical analysis and data structures to solve and analyze problems that involve fluid flows.

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Eugene P. Gross

Eugene P. Gross (27 June 1926 – 19 January 1991) was a theoretical physicist and Edward and Gertrude Swartz professor at Brandeis University, known for his contribution to the Bhatnagar-Gross-Krook (BGK) collision model used in the Boltzmann equation and in Lattice Boltzmann methods and to the Gross–Pitaevskii equation which describes the ground state of a quantum system of identical bosons.

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Lattice Boltzmann methods

Lattice Boltzmann methods (LBM) (or thermal Lattice Boltzmann methods (TLBM)) is a class of computational fluid dynamics (CFD) methods for fluid simulation.

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Max Krook

Max Krook (1913 – 4 August 1985) was an American mathematician and astrophysicst.

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Operator (mathematics)

In mathematics, an operator is generally a mapping that acts on the elements of a space to produce other elements of the same space.

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Oxford University Press

Oxford University Press (OUP) is the largest university press in the world, and the second oldest after Cambridge University Press.

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Physical Review

Physical Review is an American peer-reviewed scientific journal established in 1893 by Edward Nichols.

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Prabhu Lal Bhatnagar

Prabhu Lal Bhatnagar (8 August 1912 – 5 October 1976), commonly addressed as P. L. Bhatnagar, was an Indian mathematician known for his contribution to the Bhatnagar–Gross–Krook operator used in Lattice Boltzmann methods (LBM).

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Redirects here:

Bhatnagar-Gross-Krook, Bhatnagar-Gross-Krook operator, Bhatnagar–Gross–Krook.

References

[1] https://en.wikipedia.org/wiki/Bhatnagar–Gross–Krook_operator

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