2. Towards the Bolzmann network method (LBM)

2.1 Introduction of the linearized collision term

The Boltzmann equation describes the temporal and spatial evolution of the f function, with a highly complex collision term. However, this distribution tends towards a known equilibrium. With this in mind, it's tempting to simplify the collision term. Indeed, for a distribution close to equilibrium, it is possible to linearize the collision, i.e. to consider that the function f evolves linearly towards equilibrium:

\frac{d f}{d t} = \frac{\partial f}{\partial t} +

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Towards the Bolzmann network method (LBM)

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Bibliography

(1) - BRUN (R.) - Transport et relaxation dans les écoulements gazeux, - Transp. Relax. dans les écoulements gazeux. R. Brun. Masson, Paris, Fr. 208 pp. Price FF 180.00 (1986).
(2) - GRAD (H.) - On the kinetic theory of rarefied gases, -...

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