# Aleph Field Solver Challenge Problem Results Summary

## Abstract

Aleph models continuum electrostatic and steady and transient thermal fields using a finite-element method. Much work has gone into expanding the core solver capability to support enriched modeling consisting of multiple interacting fields, special boundary conditions and two-way interfacial coupling with particles modeled using Aleph's complementary particle-in-cell capability. This report provides quantitative evidence for correct implementation of Aleph's field solver via order- of-convergence assessments on a collection of problems of increasing complexity. It is intended to provide Aleph with a pedigree and to establish a basis for confidence in results for more challenging problems important to Sandia's mission that Aleph was specifically designed to address.

- 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)

- OSTI Identifier:
- 1168984

- Report Number(s):
- SAND2015-0317

562206

- DOE Contract Number:
- AC04-94AL85000

- Resource Type:
- Technical Report

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

### Citation Formats

```
Hooper, Russell, and Moore, Stan Gerald.
```*Aleph Field Solver Challenge Problem Results Summary*. United States: N. p., 2015.
Web. doi:10.2172/1168984.

```
Hooper, Russell, & Moore, Stan Gerald.
```*Aleph Field Solver Challenge Problem Results Summary*. United States. doi:10.2172/1168984.

```
Hooper, Russell, and Moore, Stan Gerald. Thu .
"Aleph Field Solver Challenge Problem Results Summary". United States.
doi:10.2172/1168984. https://www.osti.gov/servlets/purl/1168984.
```

```
@article{osti_1168984,
```

title = {Aleph Field Solver Challenge Problem Results Summary},

author = {Hooper, Russell and Moore, Stan Gerald},

abstractNote = {Aleph models continuum electrostatic and steady and transient thermal fields using a finite-element method. Much work has gone into expanding the core solver capability to support enriched modeling consisting of multiple interacting fields, special boundary conditions and two-way interfacial coupling with particles modeled using Aleph's complementary particle-in-cell capability. This report provides quantitative evidence for correct implementation of Aleph's field solver via order- of-convergence assessments on a collection of problems of increasing complexity. It is intended to provide Aleph with a pedigree and to establish a basis for confidence in results for more challenging problems important to Sandia's mission that Aleph was specifically designed to address.},

doi = {10.2172/1168984},

journal = {},

number = ,

volume = ,

place = {United States},

year = {Thu Jan 01 00:00:00 EST 2015},

month = {Thu Jan 01 00:00:00 EST 2015}

}