Semilagrangian schemes applied to moving boundary problems for the BGK model of rarefied gas dynamics
Semilagrangian schemes applied to moving boundary problems for the BGK model of rarefied gas dynamics
复制标题
半拉格朗日格式应用于稀薄气体动力学 BGK 模型的移动边界问题
DOI：
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发表时间：
2009
期刊：
影响因子：
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通讯作者：
F. Filbet
中科院分区：
文献类型：
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作者：
G. Russo;F. Filbet
在本文中，我们提出了一种新的数值解的半拉格朗日格式
稀薄气体动力学的 BGK 模型，在具有移动边界的域中，
考虑到微机电系统（MEMS）的应用。来源
项被隐式处理，这使得该方案在
小努森数的极限。由于其拉格朗日性质，不具有稳定性
对 CFL 数量有限制，仅由精度决定
要求。该方法在一维活塞问题上进行了测试。的
将小努森数的解与通过以下方法获得的结果进行比较
气体动力学欧拉方程的数值解。
In this paper we present a new semilagrangian scheme for the numerical solution
of the BGK model of rarefied gas dynamics, in a domain with moving boundaries,
in view of applications to Micro Electro Mechanical Systems (MEMS). The source
term is treated implicitly, which makes the scheme Asymptotic Preserving in the
limit of small Knudsen number. Because of its Lagrangian nature, no stability
restriction is posed on the CFL number, which is determined only by accuracy
requirements. The method is tested on a one dimensional piston problem. The
solution for small Knudsen number is compared with the results obtained by the
numerical solution of the Euler equation of gas dynamics.