I only give here some high-level overview of my research. Many additional details can be found in the News Posts where many of my students’ research is highlighted. A list of sponsors can be found here.
Radiation Transport:
- Efficient diffusion preconditioners for neutral- and charged-particle transport
- Unstructured mesh generation compatible with massively parallel Sn sweeps
- Optimization of massively parallel Sn transport sweeps; see our PDT code page
- Spatial mesh adaptivity for diffusion, SPn, and Sn transport
- Uncollided-flux treatment in polyhedral meshes
- High-order finite elements for transport on unstructured meshes
- Positivity-preserving schemes (in collaboration with MATH colleagues)
- Inverse problems in transport
Multiphysics:
- Tight multiphysics coupling paradigms (JFNK, accelerated Picard)
- Coupled radiation-hydrodynamics (‘rad-hydro’)
- Single and two-phase flow simulations
- Artificial entropy viscosity methods for fluid flow numerics
- Tensor Mechanics for nuclear fuel modeling
Predictive Science:
- Model order reduction in multiphysics applications
- Uncertainty Quantification (polynomial chaos expansions, proper orthogonal decompositions -POD-, proper generalized decompositions -PGD-, Gaussian processes, …)
- Model-order reduction for Sn transport
- Adjoint-based sensitivity
- Machine learning
Reactor Physics:
- Fuel assembly design for Minor-Actinides disposition
- Molten salt reactor technology
- Impact of high-thermal conductivity fuels on neutronic design
- Applied reactor physics for non-proliferation