BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Jianguo Liu (Duke University) DTSTART:20201228T030000Z DTEND:20201228T034500Z DTSTAMP:20260423T024743Z UID:iccm2020/41 DESCRIPTION:Title: Contact line dynamics for merging and splitting of droplets: gradient fl ow formulation and computations\nby Jianguo Liu (Duke University) as p art of ICCM 2020\n\n\nAbstract\nThe capillary effects caused by the interf acial energy dominates the dynamics of small droplets and takes the form o f mean curvature flow of the capillary surface coupled with contact line d ynamics. For the volume preserving motion\, this is modeled by a free boun dary incompressible potential flow. A gradient flow on a Hilbert manifold is used for effective numerical methods. We propose unconditionally stable first/second order numerical schemes based on explicit moving boundary up dates and a semi-Lagrangian method. To enforce impermeable obstacle constr aint\, a projection method for a variational inequality is further adapte d to simulate the unavoidable merging and splitting of droplets. The phase transition for the emerged contact lines are detected and equipped with c ontact line mechanism. We also compare the purely geometric droplet dynami cs with hydrodynamic models.\n LOCATION:https://researchseminars.org/talk/iccm2020/41/ END:VEVENT END:VCALENDAR