格子Boltzmann碰撞中熵平衡的可能性与不可能性
Possibility and Impossibility of the Entropy Balance in Lattice Boltzmann Collisions
摘要：
我们证明了在格子玻尔兹曼方法操作的分布空间中，存在一个平衡附近，在那里熵平衡的碰撞是可能的，同时，存在一个区域的非平衡分布，这种碰撞是不可能的。我们计算和图形表示这些地区的一些简单的熵平衡，使用单弛豫时间模型。因此，它表明，熵LBM的定义是不完整的，没有一个策略来处理某些高度非平衡状态。这种策略应该明确说明，因为它们可能导致产生额外的熵。
英文摘要：
We demonstrate that in the space of distributions operated on by lattice Boltzmann methods that there exists a vicinity of the equilibrium where collisions with entropy balance are possible and, at the same time, there exist an area of nonequilibrium distributions where such collisions are impossible. We calculate and graphically represent these areas for some simple entropic equilibria using single relaxation time models. Therefore it is shown that the definition of an entropic LBM is incomplete without a strategy to deal with certain highly nonequilibrium states. Such strategies should be explicitly stated as they may result in the production of additional entropy.
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