On adjoint-based optimization of a free surface Stokes flow
- This work deals with the optimal control of a free surface Stokes flow which responds to an applied outer pressure. Typical applications are fiber spinning or thin film manufacturing. We present and discuss two adjoint-based optimization approaches that differ in the treatment of the free boundary as either state or control variable. In both cases the free boundary is modeled as the graph of a function. The PDE-constrained optimization problems are numerically solved by the BFGS method, where the gradient of the reduced cost function is expressed in terms of adjoint variables. Numerical results for both strategies are finally compared with respect to accuracy and efficiency.
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| Author: | S. Repke, N. Marheineke, R. Pinnau |
|---|---|
| URN: | urn:nbn:de:hbz:386-kluedo-16519 |
| Series (Serial Number): | Berichte des Fraunhofer-Instituts für Techno- und Wirtschaftsmathematik (ITWM Report) (186) |
| Document Type: | Report |
| Language of publication: | English |
| Year of Completion: | 2010 |
| Year of first Publication: | 2010 |
| Publishing Institution: | Fraunhofer-Institut für Techno- und Wirtschaftsmathematik |
| Date of the Publication (Server): | 2010/07/21 |
| Tag: | Lagrange formalism; film casting process; free surface Stokes flow; optimal control; thin films |
| Faculties / Organisational entities: | Fraunhofer (ITWM) |
| DDC-Cassification: | 5 Naturwissenschaften und Mathematik / 510 Mathematik |
| Licence (German): |  Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011 |