A multiscale method of modeling surface texture in hydrodynamic regime

Friction control by multi-shape textured surface under pin-on-disc test

“…The simulated results indicate that the values of load carrying capacity, frictional power loss, maximum pressure and fluid film stiffness coefficient are significantly affected by the behavior of lubricant. On the other hand, some encouraging numerical and experimental results have demonstrated that surface texturing by mixed dimple texturing results in a remarkable increase in tribological properties compared to uniform textured and untextured surfaces [3,15,16].…”

A deterministic multiscale computation method for rough surface lubrication

“…The stiffness matrix of each kind of cell only needs to be constructed one time and then adopted repeatedly. Thus, FCM can speed up the computation significantly for the problems with periodic features even on a serial computer, which we have proven in [21]. For the problems without periodic features, every cell stiffness matrix must be computed separately.…”

“…The goal of this paper is to develop the multiscale deterministic approach [21] to solve lubrication problems with multiple scales, which are intractable using traditional numerical methods. The framework of the FCM that formulates a procedure the structure of which follows the classical finite element implementation at the macro level.…”

“…After the macro responses of the domain are got, a straightforward recovery step is performed to get the fine-scale solutions. In general, the FCM consists of the following three phases [21]: construction of the cell stiffness matrix, solution of coarse-scale pressure and recovery of fine-scale pressure. We note that the key difference of present study and our previous work [21] is the construction of the cell stiffness matrix, and the rest, which are still included, are almost the same in order to give the full picture of the developed method.…”

“…In previous work [21], we proposed the finite cell method (FCM) and demonstrated the efficiency of FCM to solve the twoscale surface texture problems, the results showed that both the computing time and storage required by FCM are significantly reduced compared with FEM for the periodic surface texture lubrication problem. In the present study, the FCM is further developed to analyze the non-periodic conformal contacted lubrication problems with multiscale roughness.…”