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Uncertainty benchmarks for time-dependent transport problems
William Bennett, Ryan G. McClarren
Verification solutions for uncertainty quantification are presented for time dependent transport problems where , the scattering ratio, is uncertain. The method of polynomial ch…
Benchmark solutions for radiative transfer with a moving mesh and exact uncollided source treatments
William Bennett, Ryan G. McClarren
The set of benchmark solutions used in the thermal radiative transfer community suffer some coverage gaps, in particular nonlinear, non-equilibrium problems. Also, there are no non…
Benchmarks for infinite medium, time dependent transport problems with isotropic scattering
William Bennett, Ryan G. McClarren
The widely used AZURV1 transport benchmarks package provides a suite of solutions to isotropic scattering transport problems with a variety of initial conditions (Ganapol 2001). Mo…
Accurate solutions to time dependent transport problems with a moving mesh and exact uncollided source treatment
William Bennett, Ryan G. McClarren
For the purpose of finding benchmark quality solutions to time dependent Sn transport problems, we develop a numerical method in a Discontinuous Galerkin (DG) framework that utiliz…