Abstract:

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.

Key words: conformal contact, finite cell method (FCM), rough surface, multiscale computing