Particle Transport in Stochastic and Nonclassical Media
Transport in random media via classical stochastic models, and in correlated media via a nonclassical Boltzmann equation for nonexponential attenuation. Applications in reactor physics, atmospheric science, medical imaging, and computer graphics.
High-Fidelity Acceleration Algorithms
Developing acceleration methods for SN transport calculations: the Generalized Quasidiffusion (GQD) method for optically thick problems, and a modified Fokker-Planck technique for highly forward-peaked scattering
Machine Learning in Radiation Detection and Diagnostics
Neutron energy spectrum reconstruction from detector responses using classical and neural network unfolding algorithms. Developed with Lawrence Livermore National Laboratory, with applications in criticality accident response and reactor diagnostics.
Multiphysics Modeling for Radiation Therapy
Coupled simulation framework for combined hyperthermia-radiotherapy, integrating thermal, transport, and biological response models to predict recurrent tumor behavior under simultaneous heating and irradiation.
Neutron Source Optimization in Accelerator-Driven Subcritical Systems
Optimal neutron source configurations for accelerator-driven subcritical systems, formulated as linear programming problems to minimize source intensity under prescribed power density constraints.
Integral Transport Methods for 2-D Neutron Transport Problems
Nyström-based integral transport method for 2-D fixed-source neutron transport in heterogeneous media, eliminating ray effects by removing angular discretization through integration over the solid angle.
Stochastic Modeling of Neutron Point Kinetics
Stochastic differential equation modeling of neutron point kinetics, capturing random fluctuations in neutron density and precursor concentrations with a nonstiff numerical solution approach.
Compact Neutron Imaging System for Nondestructive Nuclear Waste Analysis
The goal of this project - undertaken in cooperation by RWTH Aachen University, Forschungszentrum Jülich, and SIEMENS AG - was to study the feasibility of a compact neutron imaging system for radioactive waste inspection.
Numerical Solvers using Laplace Transforms
This project focused on the implementation and improvement of numerical solvers for the transport equation using Laplace transforms. Approaches included the LTSn and LTAn methods.