Lattice Boltzmann Methods (LBM) -- CFD Online Discussion Forums

October 14, 2022, 00:14	Lattice Boltzmann Methods (LBM)	#1
HTang New Member H Tang Join Date: Oct 2022 Posts: 1 Rep Power: 0	In LBM, the velocity discretized Boltzmann equation uses a set of velocities which all have 1 (or close to 1) (eg. in D2Q9). We know that the particles in a fluid has a spectrum of velocity. Velocity may range from (-infinity, +infinity). How can we justify only using a few velocities to represent the entire velocity spectrum? Does anybody see any mathematical justification for the velocity discretization in LBM.

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