# Revisit boundary conditions for the self-adjoint angular flux formulation

## Abstract

We revisit the boundary conditions for SAAF. We derived the equivalent parity variational form ready for coding up. The more rigorous approach of evaluating odd parity should be solving the odd parity equation coupled with the even parity. We proposed a symmetric reflecting boundary condition although neither positive definiteness nor even-odd decoupling is achieved. A simple numerical test verifies the validity of these boundary conditions.

- Authors:

- 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

- OSTI Identifier:
- 1177213

- Report Number(s):
- INL/CON-14-31057

TRN: US1500148

- DOE Contract Number:
- DE-AC07-05ID14517

- Resource Type:
- Conference

- Resource Relation:
- Conference: PHYSOR 2014. The Role of Reactor Physics toward a Sustainable Future, Kyoto (Japan), 28 Sep - 3 Oct 2014

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 22 GENERAL STUDIES OF NUCLEAR REACTORS; BOUNDARY CONDITIONS; PARITY; SYMMETRY; REACTOR KINETICS; MULTIGROUP THEORY; FINITE ELEMENT METHOD; CONVERGENCE; Self-adjoint angular flux; Transport

### Citation Formats

```
Wang, Yaqi, and Gleicher, Frederick N.
```*Revisit boundary conditions for the self-adjoint angular flux formulation*. United States: N. p., 2015.
Web.

```
Wang, Yaqi, & Gleicher, Frederick N.
```*Revisit boundary conditions for the self-adjoint angular flux formulation*. United States.

```
Wang, Yaqi, and Gleicher, Frederick N. Sun .
"Revisit boundary conditions for the self-adjoint angular flux formulation". United States.
doi:. https://www.osti.gov/servlets/purl/1177213.
```

```
@article{osti_1177213,
```

title = {Revisit boundary conditions for the self-adjoint angular flux formulation},

author = {Wang, Yaqi and Gleicher, Frederick N.},

abstractNote = {We revisit the boundary conditions for SAAF. We derived the equivalent parity variational form ready for coding up. The more rigorous approach of evaluating odd parity should be solving the odd parity equation coupled with the even parity. We proposed a symmetric reflecting boundary condition although neither positive definiteness nor even-odd decoupling is achieved. A simple numerical test verifies the validity of these boundary conditions.},

doi = {},

journal = {},

number = ,

volume = ,

place = {United States},

year = {Sun Mar 01 00:00:00 EST 2015},

month = {Sun Mar 01 00:00:00 EST 2015}

}

Other availability

Please see Document Availability for additional information on obtaining the full-text document. Library patrons may search WorldCat to identify libraries that hold this conference proceeding.

Save to My Library

You must Sign In or Create an Account in order to save documents to your library.