# Techniques for determining physical zones of influence

## Abstract

Techniques for analyzing flow of a quantity in a given domain are provided. In one aspect, a method for modeling regions in a domain affected by a flow of a quantity is provided which includes the following steps. A physical representation of the domain is provided. A grid that contains a plurality of grid-points in the domain is created. Sources are identified in the domain. Given a vector field that defines a direction of flow of the quantity within the domain, a boundary value problem is defined for each of one or more of the sources identified in the domain. Each of the boundary value problems is solved numerically to obtain a solution for the boundary value problems at each of the grid-points. The boundary problem solutions are post-processed to model the regions affected by the flow of the quantity on the physical representation of the domain.

- Inventors:

- Issue Date:

- Research Org.:
- International Business Machines Corporation, Armonk, NY, USA

- Sponsoring Org.:
- USDOE

- OSTI Identifier:
- 1108974

- Patent Number(s):
- 8,594,985

- Application Number:
- 13/023,120

- Assignee:
- International Business Machines Corporation (Armonk, NY)

- DOE Contract Number:
- EE0002897

- Resource Type:
- Patent

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 96 KNOWLEDGE MANAGEMENT AND PRESERVATION

### Citation Formats

```
Hamann, Hendrik F, and Lopez-Marrero, Vanessa.
```*Techniques for determining physical zones of influence*. United States: N. p., 2013.
Web.

```
Hamann, Hendrik F, & Lopez-Marrero, Vanessa.
```*Techniques for determining physical zones of influence*. United States.

```
Hamann, Hendrik F, and Lopez-Marrero, Vanessa. Tue .
"Techniques for determining physical zones of influence". United States. https://www.osti.gov/servlets/purl/1108974.
```

```
@article{osti_1108974,
```

title = {Techniques for determining physical zones of influence},

author = {Hamann, Hendrik F and Lopez-Marrero, Vanessa},

abstractNote = {Techniques for analyzing flow of a quantity in a given domain are provided. In one aspect, a method for modeling regions in a domain affected by a flow of a quantity is provided which includes the following steps. A physical representation of the domain is provided. A grid that contains a plurality of grid-points in the domain is created. Sources are identified in the domain. Given a vector field that defines a direction of flow of the quantity within the domain, a boundary value problem is defined for each of one or more of the sources identified in the domain. Each of the boundary value problems is solved numerically to obtain a solution for the boundary value problems at each of the grid-points. The boundary problem solutions are post-processed to model the regions affected by the flow of the quantity on the physical representation of the domain.},

doi = {},

journal = {},

number = ,

volume = ,

place = {United States},

year = {2013},

month = {11}

}