Compressed sensing and its role in designing aircraft nozles in the presence of uncertainty

This talk will present an overview of the challenges that arise when designing advanced aircraft nozzles in the presence of uncertainty. Specific focus will be given to Uncertainty Quantification (UQ) methods which must be used to ensure the chosen design is robust and reliable. 

Quantifying uncertainty in aircraft nozzles is challenging. The fluid, mechanical, structural and thermal models used to simulate nozzle dynamics are highly non-linear, computationally expensive and have a large number of uncertain parameters.

The first half of this talk will discuss various techniques that we are using to quantify uncertainty in our nozzle application, including dimension reduction, compressed sensing and multi-fidelity methods. In the second half of the talk I will provide greater detail on the numerical and theoretical advantages of using compressed sensing for UQ.