Please use this identifier to cite or link to this item: http://dx.doi.org/10.14279/depositonce-9643
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Main Title: Controlling sliding droplets with optimal contact angle distributions and a phase field model
Author(s): Bonart, Henning
Kahle, Christian
Repke, Jens-Uwe
Type: Article
Language Code: en
Abstract: We consider the optimal control of a droplet on a solid by means of the static contact angle between the contact line and the solid. The droplet is described by a thermodynamically consistent phase field model from [Abels et al., Math. Mod. Meth. Appl. Sc., 22(3), 2012] together with boundary data for the moving contact line from [Qian et al., J. Fluid Mech., 564, 2006]. We state an energy stable time discrete scheme for the forward problem based on known results, and pose an optimal control problem with tracking type objective.
URI: https://depositonce.tu-berlin.de/handle/11303/10748
http://dx.doi.org/10.14279/depositonce-9643
Issue Date: 18-Nov-2019
Date Available: 13-Feb-2020
DDC Class: 510 Mathematik
Subject(s): thermodynamically consistent phase field
droplet
thermodynamically consistent phase field model
energy stable time discrete scheme
Sponsor/Funder: TU Berlin, Open-Access-Mittel - 2019
License: https://creativecommons.org/licenses/by/4.0/
Journal Title: Proceedings in applied mathematics and mechanics : PAMM
Publisher: Wiley
Publisher Place: Weinheim
Volume: 19
Issue: 1
Article Number: e201900223
Publisher DOI: 10.1002/pamm.201900223
EISSN: 1617-7061
Appears in Collections:FG Dynamik und Betrieb technischer Anlagen » Publications

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