Emily Williams
- Program Year: 2
- Academic Institution: Massachusetts Institute of Technology
- Field of Study: Aeronautics and Astronautics
- Academic Advisor: David Darmofal
- Practicum(s): Practicum Not Yet Completed
- Degree(s):
B.S. Aerospace Engineering, University of Illinois at Urbana-Champaign, 2021 - Personal URL: https://emlyjwllms.github.io/
Summary of Research
My research broadly focuses on the numerical approximation of deterministic and stochastic partial differential equations. I'm also interested in using information theory and machine learning for physics-based and data-driven modeling. My masters work focused on addressing outstanding limitations of wall-modeled large-eddy simulation for high-speed compressible turbulence modeling. My current research is related to exploring the connection between unresolved subgrid dynamics and stochastic modeling and also the potential stabilizing effect that stochastic models could have on linearized sensitivity of chaotic systems. My ultimate goal is to employ novel approaches for function approximation.Publications
Williams, E., Arranz, G., and Lozano-Duran, A., "Wall-Modeled Large-Eddy Simulation of the Lockheed Martin X-59 QueSST," American Physical Society Division of Fluid Dynamics, November 2022.Lozano-Duran, A., Ling, Y., Arranz, G., and Williams, E., "Building-block-flow model for large-eddy simulation," American Physical Society Division of Fluid Dynamics, November 2022.
Arranz, G., Ling, Y., Williams, E., Goc, K., Griffin, K., and Lozano-Duran A., "Building-block-flow model for large-eddy simulation: Applications," American Physical Society Division of Fluid Dynamics, November 2022.
Yuan, Y., Arranz, G., Williams, E., Ling, Y., Ma, R., and Lozano-Duran, A., "Extreme events in the battle of Hoth: massively separated flow in the AT-AT Imperial walker," American Physical Society Division of Fluid Dynamics Gallery of Fluid Motion, November 2022.
Williams, E. and Lozano-Duran, A., "Information-Theoretic Approach for Subgrid-Scale Modeling for High-Speed Compressible Wall Turbulence," AIAA Aviation Forum, June 2022.
Williams, E. and Lozano-Duran, A., "Error Scaling of Wall-Modeled Large-Eddy Simulation of Compressible Wall Turbulence," American Physical Society Division of Fluid Dynamics, November 2021.
Williams, E., Ling, Y., Arranz, G., and Lozano-Duran, A., "Numerical Schlieren of the X-59 QueSST," American Physical Society Division of Fluid Dynamics Gallery of Fluid Motion, November 2021.
Ling, Y., Williams, E., Arranz, G., and Lozano-Duran, A., "Can the X-Wing Survive the Reentry to Dagobah?" American Physical Society Division of Fluid Dynamics Gallery of Fluid Motion, November 2021.
Williams, E., Sharma, M.P., Venturi, S., and Panesi, M., "Relation of Dissociation Rates to the Centrifugal Barrier," University of Illinois Undergraduate Research Symposium, April 2020.
Awards
AIAA New England Community Award (MIT), 2023Vickie Kerrebrock Award (MIT), 2022
AIAA & Aviation Week 20 Twenties (UIUC), 2021
Scott R. White Aerospace Visionary Scholarship (UIUC), 2020
Dale Margerum Memorial Award (UIUC), 2020
Philip Lazzara Memorial Scholarship (UIUC), 2020