460 McBryde Hall, Virginia Tech
225 Stanger Street
Blacksburg, VA 24061-1026
My research revolves around numerical analysis, primarily in the study of computational fluid dynamics. My work to date has centered largely around the finite element method (FEM). These studies include the derivation of the energy (in) equality, stability of the model's numerical solution, error estimates, and simulations of benchmark fluid flow problems.
My current research focus is on the development of Data-Driven Galerkin (d2G) methods for turbulence. This involves Galerkin reduced-order models (G-ROMs) constructed from FEM full-order models (FOMs). At the core of this research is the idea of using spatial and spectral filtering methods for under-resolved flows, which can dramatically increase the ROM accuracy and stability.