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physics.comp-ph2007★ 56 cited
Fundamental Conditions for N-th Order Accurate Lattice Boltzmann Models
Hudong Chen, Xiaowen Shan
In this paper, we theoretically prove a set of fundamental conditions pertaining discrete velocity sets and corresponding weights. These conditions provide sufficient conditions fo…
physics.comp-ph2006★ 263 cited
Efficient kinetic method for fluid simulation beyond the Navier-Stokes equation
Raoyang Zhang, Xiaowen Shan, Hudong Chen
We present a further theoretical extension to the kinetic theory based formulation of the lattice Boltzmann method of Shan et al (2006). In addition to the higher order projection…