| Abstract: | The central problem of the lattice Boltzmann method (LBM) is to
construct a discrete equilibrium. In this paper, a multi-speed 1D
cell-model of Boltzmann equation is proposed, in which the
cell-population equilibrium, a direct non-negative approximation to
the continuous Maxwellian distribution, plays an important part. By
applying the explicit one-order Chapman--Enskog distribution, the
model reduces the transportation and collision, two basic evolution
steps in LBM, to the transportation of the non-equilibrium
distribution. Furthermore, 1D dam-break problem is performed and the
numerical results agree well with the analytic solutions. |
