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Flight path optimization subject to instationary heat constraints

Abstract : During ascent and reentry of a hypersonic airplane into the atmosphere of the Earth extreme thermal loads appear. Therefore an efficient lightweight thermal protection system is mandatory for the feasibility of the entire mission. We consider a trajectory optimization problem coupled with a modelling of the heat load at the stagnation point. From a mathematical view point, we a have a coupled PDE-ODE optimal control problem with state constraints. The presentation focuses on the mathematical modelling of the thermal protection system. By applying a finite volume discretization onto the layers in the thermal protection system a ODE constrained optimal control problem results, which still mimics the solution properties of the PDE. Finally numerical results are presented.
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Contributor : Estelle Bouzat <>
Submitted on : Wednesday, December 11, 2013 - 4:14:31 PM
Last modification on : Friday, October 13, 2017 - 5:08:16 PM




Matthias Witzgall, Kurt Chudej. Flight path optimization subject to instationary heat constraints. 77th Vienna International Conference on Mathematical Modelling, 2012, Vienna, Austria. pp.1141-1146, ⟨10.3182/20120215-3-AT-3016.00202⟩. ⟨hal-00917304⟩



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