Oberseminar Numerische Mathematik / Scientific Computing
Hans Josef Pesch
Universität Bayreuth
Optimal Control of Fuel Cells and Hypersonic Aircraft
as Challenges for PDE Constrained Optimization
Abstract:
Abstract:
The modeling of multi-physical phenomena leads to large coupled systems of ordinary and partial differential equations as well as algebraic equations. Their optimization resp. optimal control is the subject of this talk.
Two examples from engineering applications are investigated. The first problem describes the trajectory of a hypersonic passenger aircraft which is able to fly within a little more than two hours from Europe to North America. The challenge here is the limitation of the instationary heating of the thermal protection system while the fuel consumption is to be minimized. A mathematical analysis of an abstract version of this problem exhibits new necessary conditions in the optimal control of both ordinary as well as partial differential equations.
The second problems describes the dynamics of the gas flows, the chemical reactions and the potential fields within certain types of fuel cells (molten carbonate fuel cells). The model leads to a 28-dimensional system of integro-partial differential algebraic equations with non-standard boundary conditions. Here, the objective is to perform fast load changes with the least number of controls while large temperature gradients within the cell must be avoided anyway to prevent material corrosion.
| Datum: | 01.12.08 | Zeit: | 16:15 Uhr | Ort: | FU Berlin, Institut für Mathematik, Arnimallee 6, 14195 Berlin. | Raum: | 032 im Erdgeschoss |