建立了用于计算可压缩流体流动的三速度六角形ＬａｔｔｉｃｅＢｏｌｔｚｍａｎｎ模型，此模型要求粒子碰撞过程不仅满足质量和动量守恒，而且满足能量守恒．确定了此模型平衡态的形式，导出了此模型对应的宏观质量、动量和能量方程．此模型可用于计算具有温度变化的空气动力学问题．给出了一维压力波传播问题的计算结果． A three-speed hexagonal LatticeBoltzmann model for calculating the flow of compressible fluid is established. The model requires that the particle collision process not only satisfies the conservation of mass and momentum, but also satisfies the conservation of energy. The equilibrium form of this model is confirmed and the macroscopic mass, momentum and energy equations corresponding to this model are derived. This model can be used to calculate aerodynamic problems with temperature changes. The result of one-dimensional pressure wave propagation is given.