# Finite Element in Angle Unit Sphere Meshing for Charged Particle Transport.

## Abstract

Finite element in angle formulations of the charged particle transport equation require the discretization of the unit sphere. In Sceptre, a three-dimensional surface mesh of a sphere is transformed into a two-dimensional mesh. Projection of a sphere onto a two-dimensional surface is well studied with map makers spending the last few centuries attempting to create maps that preserve proportion and area. Using these techniques, various meshing schemes for the unit sphere were investigated.

- Authors:

- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

- Publication Date:

- Research Org.:
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA), Office of Defense Science (NA-113)

- OSTI Identifier:
- 1401940

- Report Number(s):
- SAND2017-11126R

657820

- DOE Contract Number:
- AC04-94AL85000

- Resource Type:
- Technical Report

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; charge particle transport; finite element in angle; sphere projection onto surface

### Citation Formats

```
Ortega, Mario Ivan, and Drumm, Clifton R.
```*Finite Element in Angle Unit Sphere Meshing for Charged Particle Transport.*. United States: N. p., 2017.
Web. doi:10.2172/1401940.

```
Ortega, Mario Ivan, & Drumm, Clifton R.
```*Finite Element in Angle Unit Sphere Meshing for Charged Particle Transport.*. United States. doi:10.2172/1401940.

```
Ortega, Mario Ivan, and Drumm, Clifton R. Sun .
"Finite Element in Angle Unit Sphere Meshing for Charged Particle Transport.". United States.
doi:10.2172/1401940. https://www.osti.gov/servlets/purl/1401940.
```

```
@article{osti_1401940,
```

title = {Finite Element in Angle Unit Sphere Meshing for Charged Particle Transport.},

author = {Ortega, Mario Ivan and Drumm, Clifton R.},

abstractNote = {Finite element in angle formulations of the charged particle transport equation require the discretization of the unit sphere. In Sceptre, a three-dimensional surface mesh of a sphere is transformed into a two-dimensional mesh. Projection of a sphere onto a two-dimensional surface is well studied with map makers spending the last few centuries attempting to create maps that preserve proportion and area. Using these techniques, various meshing schemes for the unit sphere were investigated.},

doi = {10.2172/1401940},

journal = {},

number = ,

volume = ,

place = {United States},

year = {Sun Oct 01 00:00:00 EDT 2017},

month = {Sun Oct 01 00:00:00 EDT 2017}

}

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