My research focuses on methods to enable engineering design and analysis with large-scale computational models. These methods include:
- Sensitivity analysis of chaotic dynamical systems. The goal of this research is to enable efficient design optimization, error estimation, and uncertainty quantification of large scale chaotic systems like scale-resolving turbulent flow simulations.
- Reduced order modelling. The goal of this research is to exploit any underlying structure present in data generated by a "full order" large-scale computation model to construct a "reduced order" model that is accurate, robust, and significantly less costly.
Although the above methods are generally applicable, my main focus is on the following application spaces:
- Unsteady Aerodynamics and Turbulence
- Hypersonics and Aerothermodynamics