## This content will become publicly available on December 17, 2019

# Weighted delta-tracking in scattering media

## Abstract

In this work, we expand the weighted delta-tracking routine to include a treatment for scattering. The weighted delta-tracking routine adds survival biasing to normal delta-tracking, improving problem figure of merit. In the original formulation of this method, only absorption events were considered. We have expanded the method to include scattering and investigated the method’s effectiveness with two test cases: a pressurized water reactor pin cell and a fast reactor pin cell. We compare the figure of merit for calculating infinite flux and total cross-section while incrementally changing the amount of weighted delta-tracking used. Thus, we find that this new weighted delta-tracking (WDT) routine has strong potential to improve the efficiency of fast reactor calculations, and may be useful for light water reactor calculations.

- Authors:

- Univ. of California, Berkeley, CA (United States)
- Idaho State Univ., Pocatello, ID (United States); Idaho National Lab. (INL), Idaho Falls, ID (United States)
- Idaho National Lab. (INL), Idaho Falls, ID (United States)

- Publication Date:

- Research Org.:
- Idaho National Lab. (INL), Idaho Falls, ID (United States)

- Sponsoring Org.:
- USDOE Office of Nuclear Energy (NE)

- OSTI Identifier:
- 1499638

- Report Number(s):
- INL/JOU-17-43607-Rev000

Journal ID: ISSN 0029-5493

- Grant/Contract Number:
- AC07-05ID14517

- Resource Type:
- Accepted Manuscript

- Journal Name:
- Nuclear Engineering and Design

- Additional Journal Information:
- Journal Volume: 342; Journal Issue: C; Journal ID: ISSN 0029-5493

- Publisher:
- Elsevier

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 97 - MATHEMATICS AND COMPUTING; Monte Carlo; Serpent; Delta-tracking; Weighted

### Citation Formats

```
Rehak, J. S., Kerby, L. M., DeHart, M. D., and Slaybaugh, R. N. Weighted delta-tracking in scattering media. United States: N. p., 2018.
Web. doi:10.1016/j.nucengdes.2018.12.006.
```

```
Rehak, J. S., Kerby, L. M., DeHart, M. D., & Slaybaugh, R. N. Weighted delta-tracking in scattering media. United States. doi:10.1016/j.nucengdes.2018.12.006.
```

```
Rehak, J. S., Kerby, L. M., DeHart, M. D., and Slaybaugh, R. N. Mon .
"Weighted delta-tracking in scattering media". United States. doi:10.1016/j.nucengdes.2018.12.006.
```

```
@article{osti_1499638,
```

title = {Weighted delta-tracking in scattering media},

author = {Rehak, J. S. and Kerby, L. M. and DeHart, M. D. and Slaybaugh, R. N.},

abstractNote = {In this work, we expand the weighted delta-tracking routine to include a treatment for scattering. The weighted delta-tracking routine adds survival biasing to normal delta-tracking, improving problem figure of merit. In the original formulation of this method, only absorption events were considered. We have expanded the method to include scattering and investigated the method’s effectiveness with two test cases: a pressurized water reactor pin cell and a fast reactor pin cell. We compare the figure of merit for calculating infinite flux and total cross-section while incrementally changing the amount of weighted delta-tracking used. Thus, we find that this new weighted delta-tracking (WDT) routine has strong potential to improve the efficiency of fast reactor calculations, and may be useful for light water reactor calculations.},

doi = {10.1016/j.nucengdes.2018.12.006},

journal = {Nuclear Engineering and Design},

number = C,

volume = 342,

place = {United States},

year = {2018},

month = {12}

}