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
Recent Publication Highlights
- Our AIAA journal paper on model reduction for hypersonic aerodynamics via conservative LSPG projection and hyper-reduction has been accepted for publication, link coming soon! (Joint work with F. Rizzi, K. Carlberg, M. Howard, and J. Fike)
- Our preprint on a compute-bound formulation of Galerkin model reduction for linear time-invariant dynamical systems is available on the arXiv. (Joint work with F. Rizzi, E. Parish, and J. Tencer)
- 12/16/20: Check out this story about our new collaboration with University of Texas at Austin on sensing for hypersonic vehicles.
- 07/10/20: Check out my talk at the 2020 SIAM annual meeting: “Pressio: A computational framework enabling projection-based model reduction for large-scale nonlinear dynamical systems”. My presentation starts at 1:42:48.
- Pressio, a software package we are developing at Sandia to enable projection-based model reduction for nonlinear systems, is now available on github.