# Application of the discrete generalized multigroup method to ultra-fine energy mesh in infinite medium calculations

## Abstract

The Discrete Generalized Multigroup (DGM) method uses discrete Legendre orthogonal polynomials to expand the energy dependence of the multigroup neutron transport equation. This allows a solution on a fine energy mesh to be approximated for a cost comparable to a solution on a coarse energy mesh. The DGM method is applied to an ultra-fine energy mesh (14,767 groups) to avoid using self-shielding methodologies without introducing the cost usually associated with such energy discretization. Results show DGM to converge to the reference ultra-fine solution after a small number of recondensation steps for multiple infinite medium compositions. (authors)

- Authors:

- Dept. of Nuclear Science and Engineering, Massachusetts Inst. of Technology, 77 Massachusetts Avenue, Cambridge, MA 02139-4307 (United States)

- Publication Date:

- Research Org.:
- American Nuclear Society, Inc., 555 N. Kensington Avenue, La Grange Park, Illinois 60526 (United States)

- OSTI Identifier:
- 22105607

- Resource Type:
- Conference

- Resource Relation:
- Conference: PHYSOR 2012: Conference on Advances in Reactor Physics - Linking Research, Industry, and Education, Knoxville, TN (United States), 15-20 Apr 2012; Other Information: Country of input: France; 11 refs.

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 97 MATHEMATICAL METHODS AND COMPUTING; 22 GENERAL STUDIES OF NUCLEAR REACTORS; ENERGY DEPENDENCE; MATHEMATICAL SOLUTIONS; MESH GENERATION; NEUTRON TRANSPORT THEORY; POLYNOMIALS; SELF-SHIELDING

### Citation Formats

```
Gibson, N. A., and Forget, B.
```*Application of the discrete generalized multigroup method to ultra-fine energy mesh in infinite medium calculations*. United States: N. p., 2012.
Web.

```
Gibson, N. A., & Forget, B.
```*Application of the discrete generalized multigroup method to ultra-fine energy mesh in infinite medium calculations*. United States.

```
Gibson, N. A., and Forget, B. Sun .
"Application of the discrete generalized multigroup method to ultra-fine energy mesh in infinite medium calculations". United States.
```

```
@article{osti_22105607,
```

title = {Application of the discrete generalized multigroup method to ultra-fine energy mesh in infinite medium calculations},

author = {Gibson, N. A. and Forget, B.},

abstractNote = {The Discrete Generalized Multigroup (DGM) method uses discrete Legendre orthogonal polynomials to expand the energy dependence of the multigroup neutron transport equation. This allows a solution on a fine energy mesh to be approximated for a cost comparable to a solution on a coarse energy mesh. The DGM method is applied to an ultra-fine energy mesh (14,767 groups) to avoid using self-shielding methodologies without introducing the cost usually associated with such energy discretization. Results show DGM to converge to the reference ultra-fine solution after a small number of recondensation steps for multiple infinite medium compositions. (authors)},

doi = {},

journal = {},

number = ,

volume = ,

place = {United States},

year = {2012},

month = {7}

}

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