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Is it true that in Lattice Boltzmann method particles have only one degree of freedom even in 3D case? Can someone explain that fact or provide a link?

Thanks!

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    $\begingroup$ Maybe you should share your source? $\endgroup$ – Bernhard May 16 '14 at 22:07
  • $\begingroup$ I've seen it somewhere in internet, it was not neither book nor article. So I have some doubts about its correctness. $\endgroup$ – mechanician May 16 '14 at 22:43
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I think that your source is talking about the fact that the lattice Boltzmann methods is numerically solving a scalar equation. And this scalar equation (the Boltzmann equation) implies the mass, momentum and energy conservation of a perfect fluid. (See "The Boltzmann Equation and its applications", Cercignani, 1988)

But particles have many degree of freedom according to the number of dimension you are working on. However, in the lattice Boltzmann method, the particles themselves are not track, only their statistical distribution.

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