# An Innovative Reactor Analysis Methodology Based on a Quasidiffusion Nodal Core Model. Nuclear Energy Research Initiative (NERI) Program. Quarterly Technical Progress Report

## Abstract

Status Summary of NERI Tasks - Phase 1 - Task 1. The development of the following methods in ID slab geometry: (1) Homogenization and definition of discontinuity factors, (2) Group constants functionalization using assembly transport solution of multigroup eigenvalue problem with albedo boundary conditions, and (3) Solving coarse-mesh effective few-group 1D QD moment equations using tables of data parameterized with respect to the ratio {rvec n} {center_dot} {bar J}{sup G}/{bar {phi}}{sup G} on boundaries. Status Summary of NERI Tasks - Phase 1 - Task 2. Development of a numerical method for solving the 2D few-group moment QD equations: (1) Development of a nodal discretization method for 2D moment QD equations, and (2) Development of an efficient iteration method for solving the system of equations of the nodal discretization method for 2D moment QD equations.

- Authors:

- Publication Date:

- Research Org.:
- Texas A and M University, College Park, TX (US)

- Sponsoring Org.:
- US Department of Energy (US)

- OSTI Identifier:
- 761607

- DOE Contract Number:
- FG03-99SF21522

- Resource Type:
- Technical Report

- Resource Relation:
- Other Information: PBD: 28 Apr 2000

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 22 GENERAL STUDIES OF NUCLEAR REACTORS; REACTOR TECHNOLOGY; BOUNDARY CONDITIONS; GROUP CONSTANTS; PROGRESS REPORT; MATHEMATICAL MODELS; REACTOR KINETICS

### Citation Formats

```
Anistratov, Dmitriy Y., Adams, Marvin L., Palmer, Todd S., and Smith, Kord S.
```*An Innovative Reactor Analysis Methodology Based on a Quasidiffusion Nodal Core Model. Nuclear Energy Research Initiative (NERI) Program. Quarterly Technical Progress Report*. United States: N. p., 2000.
Web. doi:10.2172/761607.

```
Anistratov, Dmitriy Y., Adams, Marvin L., Palmer, Todd S., & Smith, Kord S.
```*An Innovative Reactor Analysis Methodology Based on a Quasidiffusion Nodal Core Model. Nuclear Energy Research Initiative (NERI) Program. Quarterly Technical Progress Report*. United States. doi:10.2172/761607.

```
Anistratov, Dmitriy Y., Adams, Marvin L., Palmer, Todd S., and Smith, Kord S. Fri .
"An Innovative Reactor Analysis Methodology Based on a Quasidiffusion Nodal Core Model. Nuclear Energy Research Initiative (NERI) Program. Quarterly Technical Progress Report". United States. doi:10.2172/761607. https://www.osti.gov/servlets/purl/761607.
```

```
@article{osti_761607,
```

title = {An Innovative Reactor Analysis Methodology Based on a Quasidiffusion Nodal Core Model. Nuclear Energy Research Initiative (NERI) Program. Quarterly Technical Progress Report},

author = {Anistratov, Dmitriy Y. and Adams, Marvin L. and Palmer, Todd S. and Smith, Kord S.},

abstractNote = {Status Summary of NERI Tasks - Phase 1 - Task 1. The development of the following methods in ID slab geometry: (1) Homogenization and definition of discontinuity factors, (2) Group constants functionalization using assembly transport solution of multigroup eigenvalue problem with albedo boundary conditions, and (3) Solving coarse-mesh effective few-group 1D QD moment equations using tables of data parameterized with respect to the ratio {rvec n} {center_dot} {bar J}{sup G}/{bar {phi}}{sup G} on boundaries. Status Summary of NERI Tasks - Phase 1 - Task 2. Development of a numerical method for solving the 2D few-group moment QD equations: (1) Development of a nodal discretization method for 2D moment QD equations, and (2) Development of an efficient iteration method for solving the system of equations of the nodal discretization method for 2D moment QD equations.},

doi = {10.2172/761607},

journal = {},

number = ,

volume = ,

place = {United States},

year = {2000},

month = {4}

}