A fluid flow is described by fictitious particles hopping on homogeneously distributed nodes with a given finite set of discrete velocities. We emphasize that the existence of a fictitious particle having a discrete velocity among the set in a node is given by a probability. We describe a compressible thermal flow of the level of accuracy of the Navier–Stokes equation by 25 or 33 discrete velocities for two-dimensional space and perform simulations for investigating internal structural evolution of a shock wave.

中文翻译：

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最小数量的离散速度用于冲击波的流量描述和内部结构演化

流体的流动是通过虚拟粒子在给定的有限速度集合中以均匀分布的节点跳变来描述的。我们强调，节点中集合中具有离散速度的虚拟粒子的存在是由概率给出的。我们用二维空间的25或33个离散速度描述了Navier–Stokes方程的精度水平的可压缩热流，并进行了模拟以研究冲击波的内部结构演化。