Homogeneous Infinite Media Time-Dependent Analytical Benchmarks
B D Ganapol · OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) · 2024
A suite of analytical benchmarks, called AZURV1, has been developed for verification of time-dependent neutral particle transport algorithms in the one group approximation. Only 1-D sources in infinite media are considered. The 1-D sources include infinite plane, point, infinite line, spherical shell and solid spherical pulsed emissions. The analytical solution for each source is based on the solution to the pulsed plane source. Transformations between geometries then give scalar flux expressions to be numerically evaluated to analytical benchmark accuracy for the fundamental pulsed sources considered.