为求解共形接触粗糙表面的润滑性能，提出非周期多尺度润滑问题的确定性计算方法——有限细胞法(Finite cell method，FCM)，详细介绍FCM的基本原理和关键实施步骤，通过数个算例，对比验证FCM在求解周期和非周期多尺度润滑问题时的计算速度，求解精度和并行特性。结果表明：以传统FEM作为参照，FCM计算误差不大于0.2%，计算规模可扩大2至3个数量级，并可显著降低计算时间。因此，FCM是求解共形接触粗糙表面润滑问题的一种切实可行的计算方法， 同时FCM与控制方程无关的特性也为求解工程中其他领域的多尺度问题提供了参考。

In order to solve the conformal contacted rough surface lubricating problem,the finite cell method (FCM) is proposed,which is a deterministic multiscale computational method for heterogeneous problems. The basic principles and key implementation steps are introduced in detail. The proposed method is validated by a number of comparative numerical experiments. Parallel implementation and performance of the method are also addressed. The speed,accuracy of FCM have been systematically analyzed,and the results show that: the computational difference of the results between FEM and FCM are less than 0.2% and the computational scale can be expanded up to three orders of magnitude; Moreover,the computing time can be significantly reduced. Therefore,the FCM is a practical numerical method for calculating the rough surface lubrication problems. Furthermore,FCM can also be applicable in other engineering fields,such as porous flow and heat transfer.