本文研究熵格子Boltzmann方法(ELBM)对于高Reynolds数流动问题的适用性.ELBM由于其满足热力学第二定律,使得它比标准的格子Boltzmann方法(LBM)具有更高的数值稳定性.ELBM在计算过程中,通过调节松弛参数来确保系统符合熵H定律.在调节松弛参数时,必须求解一个非线性方程组,这使得计算量加大.本文基于Ehrenfest 理论,根据简单的正性约束来保证H定律的成立.在数值实例部分,对顶盖驱动流进行了研究,给出了此方法与上述方法计算效率和正确性的一个比较,并且研究了全局熵的变化.
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