Calculating the flow of a film of lubricant between rough surfaces by solving the Reynolds equation requires a very fine mesh to capture the details of the topography and is thus very time consuming. In the present paper, a multiscale method is proposed. The domain is divided into an appropriate number of subdomains on which deterministic simulations are performed. The results of this microscale solution are coupled at the macroscale by employing a macromesh on which a mass flow balance is implemented. This method has already been successfully applied to liquid lubrication and is extended to gas lubrication. A significant reduction in computation time is obtained compared to a fully deterministic solution. The calculation of the load is also accurate.

中文翻译：

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粗糙表面之间润滑的多尺度建模：在气体润滑中的应用

通过求解雷诺方程来计算粗糙表面之间润滑剂膜的流动需要非常精细的网格来捕捉地形的细节，因此非常耗时。在本文中，提出了一种多尺度方法。该域被划分为适当数量的子域，在这些子域上执行确定性模拟。通过采用在其上实现质量流量平衡的宏观网格，该微观解决方案的结果在宏观层面上耦合。这种方法已经成功应用于液体润滑，并扩展到气体润滑。与完全确定的解决方案相比，计算时间显着减少。负载的计算也很准确。