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b A typical contact cluster comprising of six independent asperities.

Fig. 2 Contact cluster detecting algorithm: the labeling technique.

Most of the contact cluster locations are coincident with the surface summits/valleys.

The contact cluster merging effect has been observed in both the asperity model and the GFMD model.

It is found that the inter-asperity interaction is essential to the forming of a contact cluster.

Since the asperity tip's slope is smaller, the RMS slope for the contact cluster in the GFMD model is also smaller.

In addition, we use a topology preserving smoothing technique to adjust the morphology of contact clusters obtained with a coarse grid.

However, real contact clusters are much more complicated.

As the contact area increases, both summits and valleys can form as contact clusters.

The displacement fields generated by the contact clusters are continuous all over the surface area.

However, in the GFMD model, the contact clusters influence each other.