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给出了守恒型模型方程的差分型格子气方法,通过定义广义的分布函数,将原方程的求解问题转化成关于分布函数的差分算法。该方法的意义在于建立格子气方法与差分法之间的联系,进而可以构造真正用于空气动力学的格子气模型,使格子气方法在可压缩流领域成为一种实用方法。分别构造了两步MacCormark格式和WarmingBeam格式的分布函数的差分方程
The differential lattice gas method for conservation-type model equations is given. By defining the generalized distribution function, the problem of solving the original equation is transformed into the difference algorithm about the distribution function. The significance of this method is to establish the connection between the lattice gas method and the difference method, so that the lattice gas model that is really used for aerodynamics can be constructed and the lattice gas method becomes a practical method in the field of compressible flow. Difference equations of two-step MacCormark format and Warming -Beam distribution function are constructed respectively