# High-Order Homogenization Method in Diffusion Theory for Reactor Core Simulation and Design Calculation

## Abstract

Most modern nodal methods in use by the reactor vendors and utilities are based on the generalized equivalence theory (GET) that uses homogenized cross sections and flux discontinuity factors. These homogenized parameters, referred to as infinite medium parameters, are precomputed by performing single bundle fine-mesh calculations with zero current boundary conditions. It is known that for configurations in which the node-to-node leakage (e.g., surface current-to-flux ratio) is large the use of the infinite medium parameters could lead to large errors in the nodal solution. This would be the case for highly heterogeneous core configurations, typical of modern reactor core designs.

- Authors:

- Publication Date:

- Research Org.:
- Georgia Tech Research Corporation (US)

- Sponsoring Org.:
- (US)

- OSTI Identifier:
- 816337

- Report Number(s):
- DOE/ID/13960

TRN: US0304986

- DOE Contract Number:
- FG07-00ID13960

- Resource Type:
- Technical Report

- Resource Relation:
- Other Information: PBD: 30 Sep 2003

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 22 GENERAL STUDIES OF NUCLEAR REACTORS; BOUNDARY CONDITIONS; CROSS SECTIONS; DESIGN; DIFFUSION; HOMOGENIZATION METHODS; REACTOR CORES; SIMULATION

### Citation Formats

```
Farzad Rahnema.
```*High-Order Homogenization Method in Diffusion Theory for Reactor Core Simulation and Design Calculation*. United States: N. p., 2003.
Web. doi:10.2172/816337.

```
Farzad Rahnema.
```*High-Order Homogenization Method in Diffusion Theory for Reactor Core Simulation and Design Calculation*. United States. doi:10.2172/816337.

```
Farzad Rahnema. Tue .
"High-Order Homogenization Method in Diffusion Theory for Reactor Core Simulation and Design Calculation". United States.
doi:10.2172/816337. https://www.osti.gov/servlets/purl/816337.
```

```
@article{osti_816337,
```

title = {High-Order Homogenization Method in Diffusion Theory for Reactor Core Simulation and Design Calculation},

author = {Farzad Rahnema},

abstractNote = {Most modern nodal methods in use by the reactor vendors and utilities are based on the generalized equivalence theory (GET) that uses homogenized cross sections and flux discontinuity factors. These homogenized parameters, referred to as infinite medium parameters, are precomputed by performing single bundle fine-mesh calculations with zero current boundary conditions. It is known that for configurations in which the node-to-node leakage (e.g., surface current-to-flux ratio) is large the use of the infinite medium parameters could lead to large errors in the nodal solution. This would be the case for highly heterogeneous core configurations, typical of modern reactor core designs.},

doi = {10.2172/816337},

journal = {},

number = ,

volume = ,

place = {United States},

year = {Tue Sep 30 00:00:00 EDT 2003},

month = {Tue Sep 30 00:00:00 EDT 2003}

}

Save to My Library

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