Improved Implicit Monte Carlo Schemes Based on the Difference Formulation
نویسنده
چکیده
This paper describes slab geometry studies of the difference formulation based on the original P0 formulation and a new P1 formulation. Hybrid schemes are presented, which combine the best features of the intensity and difference formulations. The aim is to design an optimal algorithm for general Monte Carlo radiation transport problems, suitable for use with both IMC and SIMC temporal discretizations. The pseudo-scattering term in the IMC temporal discretisation is identified as a major source of inefficiency in the difference formulation, making it less efficient than the original intensity formulation. By contrast, the SIMC hybrid P1 difference formulation offers a performance improvement of 3−4 orders of magnitude over the original SIMC method for an example of a deep penetration problem.
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