On the Smoothness of the Neutron Transport Solution and Its Implication on Numerical Convergence

with Dean Wang,
Associate Professor of Nuclear Engineering,
The Ohio State University

April 05, 2020, 10:10 am, 6-051,
VTRC, Arlington
440 Goodwin Hall, Blacksburg

For remote access, register here.

Is neutron transport smooth? In this talk, we deal with the differential properties of the scalar flux defined over a two-dimensional bounded convex domain, as a solution to the integral neutron transport equation. Estimates for the derivatives of near the boundary of the domain are given based on Vainikko’s regularity theorem. The optimal pointwise error estimates in terms of the scalar flux are presented for the two classic finite difference methods: diamond difference (DD) and step difference (SD). Numerical results indicate the implication of the underlying solution smoothness on the numerical convergence behavior.

Dean Wang is an Associate Professor of Nuclear Engineering Program at The Ohio State University. His research group focuses on development and application of advanced computational methods and algorithms for neutron transport, thermal hydraulics, and multi-physics coupling. Dr. Wang is currently leading a multi-year NASA project on Centrifugal Nuclear Thermal Rocket (CNTR) neutronics research. Dr. Wang received the 2011 ORNL Significant Event Award in recognition of his significant contribution to the support to DOE in response to the Fukushima Daiichi accident. Dr. Wang got his PhD in Reactor Physics and Fuel Management from MIT in 2003.