Effectiveness of pentran™'s unique numerics for simulation of the Kobayashi benchmarks

Advanced Algorithms and Automation Tools for Discrete Ordinates Methods in Parallel Environments

“…In this report, we only discuss the results obtained for D gj I the pure absorber cases. Sjoden, 1999c, andHaghighat et al, 2001 provide detailed discussions on both pure absorber and 50% scattering problems, and demonstrate the impact of the TPMC and ADS formulations on the solution accuracy. The reminder of this Chapter is allocated to discussions on the three Kobayashi benchmark problems and the comparison of PENTRAN solutions to the reference solutions provided in Kobayashi et al, 1999.…”

MRT methodologies for real-time simulation of nonproliferation and safeguards problems

“…For the deterministic transport equation, parallel and vector formulations, adaptive differencing formulations, acceleration techniques, automated techniques for multigroup cross-section generation, and pre-and post-processing software have been developed and used for various benchmarking and real-world problems encountered in nuclear power, nuclear nonproliferation and safeguards, and radiation therapy and diagnostics. These activities have resulted in the development of the PENTRAN code system [6], PENMSH and PENMSHXP [7], TITAN hybrid code system [5], Adaptive differencing Strategy (ADS) [8], spatial and angular multigrid and synthetic acceleration schemes [9]. In Monte Carlo particle transport, their efforts have resulted in the development of the automated variance reduction technique, i.e., CADIS (Consistent Adjoint Driven Importance Sampling) [10], and its implementation in the MCNP code system, i.e., A 3 MCNP code [11].…”