My research is focused on the development, implementation, and analysis of advanced methods and solution techniques for particle transport problems. This defines an area within the broader field of nuclear computational science whose ultimate purpose is to provide the community of nuclear scientists and engineers with advanced computational codes that comprise an enabling technology for addressing a multitude of problems involving particle and radiation transport phenomena. In this regard I have contributed to Oak Ridge National Laboratory’s DOORS code package that includes, among others, the renowned DORT and TORT codes, serving as lead developer of the latter in the late nineties. My contributions to nuclear computational science include:
- development of the class of Arbitrarily High Order Transport (AHOT) methods in Cartesian geometry with two flavors—nodal and characteristic;
- Adjacent-cell Preconditioner (AP) acceleration of iterative solution algorithms for the transport equation;
- error analysis of the Nodal Integral Method for solving the neutron diffusion equation;
- error estimation and adaptive methods for transport methods;
- algorithm design, analysis, and parallel performance modeling for multiprocessing schemes for the transport equation;
- detailed modeling of nuclear systems via deterministic transport models and optimal shape design for nuclear components using search techniques.