Projects

Numerical Methods for BGK Equations

In this project, our goal is to derive and analyze fast numerical methods for multi-species BGK/ESBGK equations. We are, in particular, interested in designing a new class of fully implicit methods for avoiding restrictive time step conditions. A summary of the project can be found here.

This work is joint with Cory Hauck is funded by the US Department of Energy.

Analysis and Implementation of Diffuse Domain Methods

Our goal in this project is to design and rigorously analyze diffuse domain methods for interface and moving boundary problems.

This work, a partnership with several co-workers, is funded by the US National Science Foundation through grant NSF-DMS 2607995.

All Projects, Current and Completed

• DOE, ORNL, UT-Battelle, ongoing.
• NSF-DMS 0818030, 9/08 – 9/11.
• NSF-DMS 1115390, 7/11 – 9/14.
• NSF-DMS 1418692, 9/14 – 8/17.
• NSF-DMS 1719854, 8/17 – 7/20.
• NSF-DMS 2012634, 8/20 – 7/24.
• NSF-DMS 2309547, 8/23 – 7/26.
• NSF-DMS 2607995, 8/26 – 7/29.