000013938 001__ 13938
000013938 005__ 20161115094006.0
000013938 04107 $$aeng
000013938 046__ $$k2016-08-21
000013938 100__ $$aVilledieu, Philippe
000013938 24500 $$aDealing with contact line forces in shallow water models

000013938 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000013938 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000013938 506__ $$arestricted
000013938 520__ $$2eng$$aThe 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.

000013938 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000013938 653__ $$a

000013938 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000013938 720__ $$aVilledieu, Philippe
000013938 8560_ $$ffischerc@itam.cas.cz
000013938 8564_ $$s162995$$uhttps://invenio.itam.cas.cz/record/13938/files/PO.FM08-1.10.45.pdf$$yOriginal version of the author's contribution as presented on CD, XMLout( page 1080, code PO.FM08-1.10.45).
000013938 962__ $$r13812
000013938 980__ $$aPAPER