Optimal Control for Two-Phase Flows.

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Braack, Malte, Klein, Markus, Prohl, Andreas and Tews, Benjamin (2014) Optimal Control for Two-Phase Flows. International Series of Numerical Mathematics, 165 . pp. 347-363. DOI 10.1007/978-3-319-05083-6_22.

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Abstract

We consider an optimal control problem with respect to the two-phase Navier–Stokes equations. Different numerical schemes are presented, in particular a level-set method, as well as an approach based an Allen-Cahn phase field model. We also consider a geometrical approach to treat the interface and address the question of convergence of a numerical scheme.

Document Type: Article
Keywords: Two-phase Optimal control Stabilized finite elements Level set Allen-Cahn
Research affiliation: OceanRep > The Future Ocean - Cluster of Excellence > FO-R09
OceanRep > The Future Ocean - Cluster of Excellence
OceanRep > The Future Ocean - Cluster of Excellence > FO-R11
Kiel University
Refereed: Yes
Open Access Journal?: No
Publisher: Springer
Projects: Future Ocean
Date Deposited: 08 Mar 2017 09:12
Last Modified: 23 Sep 2019 18:14
URI: https://oceanrep.geomar.de/id/eprint/36838

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