Angular moments models based on a minimum entropy problem have been largely used to describe the transport of photons [14] or charged particles [18]. In this communication the $ M_1 $ and $ M_2 $ angular moments models are presented for rarefied gas dynamics applications. After introducing the models studied, numerical simulations carried out in various collisional regimes are presented and illustrate the interest in considering angular moments models for rarefied gas dynamics applications. For each numerical test cases, the differences observed between the angular moments models and the well-known Navier-Stokes equations are discussed and compared with reference kinetic solutions.

中文翻译：

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稀有气体动力学的角矩模型。动力学和Navier-Stokes方程的数值比较

基于最小熵问题的角矩模型已被广泛用于描述光子的传输[14]或带电粒子[18岁]。在此通信中，介绍了用于稀有气体动力学应用的$ M_1 $和$ M_2 $角矩模型。在介绍了所研究的模型之后，提出了在各种碰撞状态下进行的数值模拟，并说明了在考虑稀有气体动力学应用的角矩模型时的兴趣。对于每个数值测试案例，都讨论了角矩模型与著名的Navier-Stokes方程之间观察到的差异，并与参考动力学解决方案进行了比较。