https://doi.org/10.1051/epjconf/202124707012
ANALYTIC DISCRETE-ORDINATES SOLUTION FOR TIME-DEPENDENT TRANSPORT IN FINITE MEDIA
Naval Nuclear Laboratory P.O. Box 79, West Mifflin, PA 15122, USA
jeffery.densmore@unnpp.gov
gabriel.kooreman@unnpp.gov
Published online: 22 February 2021
We present an extension of the Analytic Discrete-Ordinates method to time-dependent transport in finite media. The application of this technique to time-dependent transport is primarily accomplished through the use of a Laplace transform. In the case of finite media, a system of equations arises from enforcing boundary conditions. Instead of directly solving this system, we construct a solution in terms of a Neumann series. We then show that terms can be neglected when numerically evaluating the inverse Laplace transform such that the series reduces to a finite sum. With this extension, we use convergence acceleration to generate a high-precision benchmark.
Key words: Analytic Discrete-Ordinates Method / Time-Dependent Transport / Laplace Transform / Neumann Series / Talbot’s Method / Wynn-Epsilon Convergence Acceleration
© The Authors, published by EDP Sciences, 2021
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
