Multiscale modeling of lubrication flows under rarefied gas conditions
Multiscale modeling of lubrication flows under rarefied gas conditions
复制标题
稀薄气体条件下润滑流动的多尺度建模
DOI：
10.1007/s10404-023-02682-z
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发表时间：
2023
影响因子：
2.8
通讯作者：
Tatsios G
中科院分区：
文献类型：
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作者：
Tatsios G
提出了一种模拟非平衡润滑流动的多尺度方法。低压或微小的润滑几何形状会产生稀薄的气体效应，这意味着标准的Navier-Stokes解是无效的，而需要研究的系统的大横向尺寸在计算上是禁止Boltzmann解的，例如直接模拟蒙特卡罗方法（DSMC）。我们提出的多尺度方法适用于准3d几何形状的时变，低速，稀薄气体流动，这些气体流动现在在各种应用中变得越来越重要，例如下一代微处理器芯片制造，航空航天，密封技术和MEMS器件。我们的多尺度模拟方法提供了精确的解决方案，在满足所有建模条件的情况下，与DSMC基准结果相比，误差小于1%。它还显示，当系统的横向尺寸增加时，相对于DSMC的计算增益也会增加，即使对于相对较小的系统，也能达到2-3个数量级，使其成为基于仿真的设计的有效工具。
We present a multiscale method for simulating non-equilibrium lubrication flows. The effect of low pressure or tiny lubricating geometries that gives rise to rarefied gas effects means that standard Navier–Stokes solutions are invalid, while the large lateral size of the systems that need to be investigated is computationally prohibitive for Boltzmann solutions, such as the direct simulation Monte Carlo method (DSMC). The multiscale method we propose is applicable to time-varying, low-speed, rarefied gas flows in quasi-3D geometries that are now becoming important in various applications, such as next-generation microprocessor chip manufacturing, aerospace, sealing technologies and MEMS devices. Our multiscale simulation method provides accurate solutions, with errors of less than 1% compared to the DSMC benchmark results when all modeling conditions are met. It also shows computational gains over DSMC that increase when the lateral size of the systems increases, reaching 2–3 orders of magnitude even for relatively small systems, making it an effective tool for simulation-based design.