Garcke, Harald and Hinze, Michael and Kahle, Christian (2019) OPTIMAL CONTROL OF TIME-DISCRETE TWO-PHASE FLOW DRIVEN BY A DIFFUSE-INTERFACE MODEL. ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 25: UNSP 13. ISSN 1292-8119, 1262-3377
Full text not available from this repository. (Request a copy)Abstract
We propose a general control framework for two-phase flows with variable densities in the diffuse interface formulation, where the distribution of the fluid components is described by a phase field. The flow is governed by the diffuse interface model proposed in Abels et al. [M3AS 22 (2012) 1150013]. On the basis of the stable time discretization proposed in Garcke et al. [Appl. Numer. Math. 99 (2016) 151] we derive necessary optimality conditions for the time-discrete and the fully discrete optimal control problem. We present numerical examples with distributed and boundary controls, and also consider the case, where the initial value of the phase field serves as control variable.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | FINITE-ELEMENT APPROXIMATION; NAVIER-STOKES SYSTEM; PHASE FIELD MODEL; INCOMPRESSIBLE FLUIDS; BOUNDARY CONTROL; HILLIARD SYSTEM; WEAK SOLUTIONS; SCHEMES; DISCRETIZATION; CONSISTENT; Optimal control; boundary control; initial value control; two-phase flow; Cahn-Hilliard; Navier-Stokes; diffuse-interface models |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Harald Garcke |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 08 Apr 2020 07:19 |
| Last Modified: | 08 Apr 2020 07:19 |
| URI: | https://pred.uni-regensburg.de/id/eprint/26826 |
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