Bibliographic Details
| Title: |
Reducing Spatial Discretization Error with Linear Discontinuous Source Tilting in Iterative Quasi-Monte Carlo for Neutron Transport |
| Authors: |
Pasmann, Samuel, Variansyah, Ilham, Kelley, C. T., McClarren, Ryan G. |
| Publication Year: |
2023 |
| Collection: |
Physics (Other) |
| Subject Terms: |
Physics - Computational Physics |
| More Details: |
Recently, iterative Quasi-Monte Carlo (iQMC) was introduced as a new method of neutron transport which combines deterministic iterative methods and quasi-Monte Carlo simulation for more efficient solutions to the neutron transport equation. Previous iQMC results utilized a uniform Cartesian grid with a piecewise-constant source. Similar to "teleportation error" in Implicit Monte Carlo (IMC) methods, the spatial discretization and piecewise-constant source can lead to a significant spatial error that limits convergence of the overall method. Taking concepts from IMC, we have developed a history-based discontinuous piecewise-linear source tilting scheme to reduce spatial error in iQMC. The source tilting method is described below and afterward we present results from a fixed-source 2D reactor-like problem adapted from the Takeda-1 Benchmark problem. |
| Document Type: |
Working Paper |
| Access URL: |
http://arxiv.org/abs/2306.14877 |
| Accession Number: |
edsarx.2306.14877 |
| Database: |
arXiv |
