# Optimization of the Direct Discrete Method Using the Solution of the Adjoint Equation and its Application in the Multi-Group Neutron Diffusion Equation

## Abstract

Obtaining the set of algebraic equations that directly correspond to a physical phenomenon has been viable in the recent direct discrete method (DDM). Although this method may find its roots in physical and geometrical considerations, there are still some degrees of freedom that one may suspect optimize-able. Here we have used the information embedded in the corresponding adjoint equation to form a local functional, which in turn by its minimization, yield suitable dual mesh positioning.

- Authors:

- Department of Energy Engineering, Sharif University of Technology, Tehran 8639-11365 (Iran, Islamic Republic of)

- Publication Date:

- OSTI Identifier:
- 21611603

- Resource Type:
- Journal Article

- Journal Name:
- AIP Conference Proceedings

- Additional Journal Information:
- Journal Volume: 1389; Journal Issue: 1; Conference: ICNAAM 2011: Conference on numerical analysis and applied mathematics, Halkidiki (Greece), 19-25 Sep 2011; Other Information: DOI: 10.1063/1.3636953; (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0094-243X

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; ALGEBRA; DEGREES OF FREEDOM; MATHEMATICAL SOLUTIONS; MINIMIZATION; NEUTRON DIFFUSION EQUATION; NEUTRONS; TOPOLOGY; BARYONS; DIFFERENTIAL EQUATIONS; DIFFUSION EQUATIONS; ELEMENTARY PARTICLES; EQUATIONS; FERMIONS; HADRONS; MATHEMATICS; NUCLEONS; OPTIMIZATION; PARTIAL DIFFERENTIAL EQUATIONS

### Citation Formats

```
Ayyoubzadeh, Seyed Mohsen, and Vosoughi, Naser.
```*Optimization of the Direct Discrete Method Using the Solution of the Adjoint Equation and its Application in the Multi-Group Neutron Diffusion Equation*. United States: N. p., 2011.
Web. doi:10.1063/1.3636953.

```
Ayyoubzadeh, Seyed Mohsen, & Vosoughi, Naser.
```*Optimization of the Direct Discrete Method Using the Solution of the Adjoint Equation and its Application in the Multi-Group Neutron Diffusion Equation*. United States. doi:10.1063/1.3636953.

```
Ayyoubzadeh, Seyed Mohsen, and Vosoughi, Naser. Wed .
"Optimization of the Direct Discrete Method Using the Solution of the Adjoint Equation and its Application in the Multi-Group Neutron Diffusion Equation". United States. doi:10.1063/1.3636953.
```

```
@article{osti_21611603,
```

title = {Optimization of the Direct Discrete Method Using the Solution of the Adjoint Equation and its Application in the Multi-Group Neutron Diffusion Equation},

author = {Ayyoubzadeh, Seyed Mohsen and Vosoughi, Naser},

abstractNote = {Obtaining the set of algebraic equations that directly correspond to a physical phenomenon has been viable in the recent direct discrete method (DDM). Although this method may find its roots in physical and geometrical considerations, there are still some degrees of freedom that one may suspect optimize-able. Here we have used the information embedded in the corresponding adjoint equation to form a local functional, which in turn by its minimization, yield suitable dual mesh positioning.},

doi = {10.1063/1.3636953},

journal = {AIP Conference Proceedings},

issn = {0094-243X},

number = 1,

volume = 1389,

place = {United States},

year = {2011},

month = {9}

}

DOI: 10.1063/1.3636953

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