## Optimal Control of Film Casting Processes

• We present an optimal control approach for the isothermal film casting process with free surfaces described by averaged Navier-Stokes equations. We control the thickness of the film at the take-up point using the shape of the nozzle. The control goal consists in finding an even thickness profile. To achieve this goal, we minimize an appropriate cost functional. The resulting minimization problem is solved numerically by a steepest descent method. The gradient of the cost functional is approximated using the adjoint variables of the problem with fixed film width. Numerical simulations show the applicability of the proposed method.

### Additional Services

Author: Thomas Götz, K. Selvanayagam urn:nbn:de:hbz:386-kluedo-15151 Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (273) Preprint English 2008 2008 Technische Universität Kaiserslautern 2008/01/20 film casting ; free boundary; optimal control Fachbereich Mathematik 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik 65-XX NUMERICAL ANALYSIS / 65Kxx Mathematical programming, optimization and variational techniques / 65K10 Optimization and variational techniques [See also 49Mxx, 93B40] 76-XX FLUID MECHANICS (For general continuum mechanics, see 74Axx, or other parts of 74-XX) / 76Dxx Incompressible viscous fluids / 76D27 Other free-boundary flows; Hele-Shaw flows Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011

$Rev: 13581$