Lattice Boltzmann method for compressible Euler equations based on exact kinetic system
Lattice Boltzmann method for compressible Euler equations based on exact kinetic system
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DOI：
10.1002/fld.4987
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发表时间：
2021-04
影响因子：
1.8
通讯作者：
Takaya Hanada;T. Kataoka
中科院分区：
文献类型：
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作者：
Takaya Hanada;T. Kataoka
基于Sone提出的无碰撞动力学方程方法，我们发展了一种新的可压缩欧拉方程的简单格子Boltzmann模型。该模型在流过程中使用无碰撞动力学方程，并在每个时间步长将分布函数修改为Chapman-Enskog类型。与现有的求解BGK型运动方程的LB型模型相比，该模型具有以下两点优势：(1)无粘流计算稳定，而现有的LBM没有这种模型；(2)计算时不需要记忆速度分布函数。我们使用新的一维、二维和三维模型计算了由可压缩欧拉方程描述的各种无粘可压缩流动。数值结果表明，该格式能够模拟高速超音速激波绕流。
We have developed a new type of simple lattice Boltzmann (LB) model for the compressible Euler equations based on the collisionless kinetic‐equation approach proposed by Sone. The model uses the collisionless kinetic equation in the streaming process, and modifies the distribution function to its Chapman–Enskog type at each time step. Compared with the current LB models which solve the kinetic equation of the BGK type, the proposed model is superior in the following two points: (i) Inviscid flows can be computed stably while there is no such model in the current LBM; (ii) The velocity distribution function does not need to be memorized in computation. We calculate various inviscid compressible flows described by the compressible Euler equations using our new one‐, two‐, and three‐dimensional models. Numerical results show the capability of our scheme to simulate high‐speed supersonic flows with shock waves.