Dealing with contact line forces in shallow water models

Abstract eng:
The objective of this paper is to present a simple approach for taking into account the contact line forces in shallow water models for partially wetting liquid films onto a solid substrate. The method is inspired by the idea proposed by Brackbill et al in [l] to deal with capillary forces in two-phase flows. It consists in reformulating the shallow water equations by introducing a “colour function” 0t which is equal to l where the film is present and 0 elsewhere and which is advected at the film velocity. The introduction of this new variable allows reformulating the shallow water system in a new way which is much more suited to the numerical discretization than the original one. First numerical results, issued from the currently ongoing tests, will be presented during the conference.

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