Optimal boundary control of glass cooling processes |
| |
Authors: | Ren Pinnau,Guido Th mmes |
| |
Affiliation: | René Pinnau,Guido Thömmes |
| |
Abstract: | In this paper, an optimal control problem for glass cooling processes is studied. We model glass cooling using the SP1 approximations to the radiative heat transfer equations. The control variable is the temperature at the boundary of the domain. This results in a boundary control problem for a parabolic/elliptic system which is treated by a constrained optimization approach. We consider several cost functionals of tracking‐type and formally derive the first‐order optimality system. Several numerical methods based on the adjoint variables are investigated. We present results of numerical simulations illustrating the feasibility and performance of the different approaches. Copyright © 2004 John Wiley & Sons, Ltd. |
| |
Keywords: | radiative heat transfer glass manufacturing thermal stresses SPN approximation optimal control first‐order optimality system Lagrange multipliers descent algorithm numerics |
|
|