# The Method of Manufactured Solutions for RattleSnake A SN Radiation Transport Solver Inside the MOOSE Framework

## Abstract

The Method of Manufactured Solutions (MMS) is an accepted technique to verify that a numerical discretization for the radiation transport equation has been implemented correctly. This technique offers a few advantages over other methods such as benchmark problems or analytical solutions. The solution can be manufactured such that properties for the angular flux are either stressed or preserved. For radiation transport, these properties can include desired smoothness, positiveness and arbitrary order of anisotropy in angle. Another advantage is that the angular flux solution can be manufactured for multidimensional problems where analytical solutions are difficult to obtain in general.

- Authors:

- Publication Date:

- Research Org.:
- Idaho National Laboratory (INL)

- Sponsoring Org.:
- DOE - NE

- OSTI Identifier:
- 1047190

- Report Number(s):
- INL/CON-12-24712

TRN: US1203872

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

- Resource Type:
- Conference

- Resource Relation:
- Conference: American Nuclear Society,Chicago, IL,06/24/2012,06/28/2012

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 11 NUCLEAR FUEL CYCLE AND FUEL MATERIALS; ANALYTICAL SOLUTION; ANISOTROPY; BENCHMARKS; RADIATION TRANSPORT; ROUGHNESS; RattleSnake, MOOSE

### Citation Formats

```
Wang, Yaqi.
```*The Method of Manufactured Solutions for RattleSnake A SN Radiation Transport Solver Inside the MOOSE Framework*. United States: N. p., 2012.
Web.

```
Wang, Yaqi.
```*The Method of Manufactured Solutions for RattleSnake A SN Radiation Transport Solver Inside the MOOSE Framework*. United States.

```
Wang, Yaqi. Fri .
"The Method of Manufactured Solutions for RattleSnake A SN Radiation Transport Solver Inside the MOOSE Framework". United States. https://www.osti.gov/servlets/purl/1047190.
```

```
@article{osti_1047190,
```

title = {The Method of Manufactured Solutions for RattleSnake A SN Radiation Transport Solver Inside the MOOSE Framework},

author = {Wang, Yaqi},

abstractNote = {The Method of Manufactured Solutions (MMS) is an accepted technique to verify that a numerical discretization for the radiation transport equation has been implemented correctly. This technique offers a few advantages over other methods such as benchmark problems or analytical solutions. The solution can be manufactured such that properties for the angular flux are either stressed or preserved. For radiation transport, these properties can include desired smoothness, positiveness and arbitrary order of anisotropy in angle. Another advantage is that the angular flux solution can be manufactured for multidimensional problems where analytical solutions are difficult to obtain in general.},

doi = {},

journal = {},

number = ,

volume = ,

place = {United States},

year = {2012},

month = {6}

}

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