English

FW/CADIS-$\Omega$: An angle-informed hybrid method for deep-penetration radiation transport

Numerical Analysis 2016-12-05 v1 Computational Physics

Abstract

A new method for generating variance reduction parameters for strongly anisotropic, deep-penetration radiation shielding studies is presented. This method generates an alternate form of the adjoint scalar flux quantity, ϕΩ\phi^{\dagger}_{\Omega}, which is used by both CADIS and FW-CADIS to generate variance reduction parameters for local and global response functions, respectively. The new method, called CADIS-Ω\Omega, was implemented in the Denovo/ADVANTG software suite, and results are presented for a concrete labyrinth test problem. Results indicate that the flux generated by CADIS-Ω\Omega incorporates localized angular anisotropies in the flux effectively. CADIS-Ω\Omega outperformed CADIS in the test problem while obtaining accurate results. This initial work indicates that CADIS-Ω\Omega may be highly useful for shielding problems with strong angular anisotropies. A future test plan to fully characterize the new method is proposed, which should reveal more about the types of realistic problems for which the CADIS-Ω\Omega will be suited.

Keywords

Cite

@article{arxiv.1612.00793,
  title  = {FW/CADIS-$\Omega$: An angle-informed hybrid method for deep-penetration radiation transport},
  author = {Madicken Munk and R. N. Slaybaugh and Tara M. Pandya and Seth R. Johnson and T. M. Evans},
  journal= {arXiv preprint arXiv:1612.00793},
  year   = {2016}
}