Department of Mathematics
456 McBryde Hall
Blacksburg, VA 24061-0123
Phone: (540) 231-8265
Fax: (540) 231-5960
For the past few years, together with my students and collaborators, I have been trying to bridge two reseach fields: reduced order modeling (ROM) and large eddy simulation (LES).
We are not the first to try this (see, e.g., Lumley's pioneering work).
We are, however, the first (to our knowledge) to use explicit spatial filtering
to de velop ROM closure models
of LES type.
Here are some of our accomplishments:
-       (I) first dynamic subgrid-scale ROM closure model (this is state-of-the-art in LES)
-       (II) first variational multiscale ROM closure model of eddy viscosity type
-       (III) first structural ROM closure model: the approximate deconvolution ROM
-       (IV) first rigorous error estimates for explicit ROM spatial filters
-       (V) first data-driven ROM closure model for the subfilter-scale stress tensor: the calibrated filtered ROM
Xuping has successfully defended his Ph.D. dissertation "Large Eddy Simulation Reduced Order Models."
This summer, he will be a research fellow at the Mitsubishi Electric Research Laboratories in Boston.
Then, in the fall, he will join Clayton Webster's group at Oak Ridge National Laboratory as a postdoctoral fellow.