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

TL;DR

The paper introduces CADIS-$\Omega$, a novel hybrid variance reduction method that effectively accounts for angular anisotropies in deep-penetration radiation shielding, improving accuracy over existing methods.

Contribution

CADIS-$\Omega$ is a new method that generates an alternate adjoint scalar flux incorporating angular anisotropies, enhancing variance reduction for complex shielding problems.

Findings

CADIS-$\Omega$ outperformed CADIS in a test problem.

The method effectively captures localized angular anisotropies.

Initial results suggest high potential for shielding applications with strong anisotropies.

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, $\phi^{\dagger}_{\Omega}$, 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-$\Omega$, 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-$\Omega$ incorporates localized angular anisotropies in the flux effectively. CADIS-$\Omega$ outperformed CADIS in the test problem while obtaining accurate results. This initial work indicates that CADIS-$\Omega$ 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-$\Omega$ will be suited.