# The “2T” ion-electron semi-analytic shock solution for code-comparison with xRAGE: A report for FY16

## Abstract

This report documents an effort to generate the semi-analytic "2T" ion-electron shock solution developed in the paper by Masser, Wohlbier, and Lowrie, and the initial attempts to understand how to use this solution as a code-verification tool for one of LANL's ASC codes, xRAGE. Most of the work so far has gone into generating the semi-analytic solution. Considerable effort will go into understanding how to write the xRAGE input deck that both matches the boundary conditions imposed by the solution, and also what physics models must be implemented within the semi-analytic solution itself to match the model assumptions inherit within xRAGE. Therefore, most of this report focuses on deriving the equations for the semi-analytic 1D-planar time-independent "2T" ion-electron shock solution, and is written in a style that is intended to provide clear guidance for anyone writing their own solver.

- Authors:

- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

- Publication Date:

- Research Org.:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

- Sponsoring Org.:
- USDOE

- OSTI Identifier:
- 1329821

- Report Number(s):
- LA-UR-16-27664

TRN: US1700411

- DOE Contract Number:
- AC52-06NA25396

- Resource Type:
- Technical Report

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; 97 MATHEMATICS AND COMPUTING; ELECTRONS; ANALYTICAL SOLUTION; IONS; BOUNDARY CONDITIONS; DIFFERENTIAL EQUATIONS; VERIFICATION; PLASMA; SHOCK WAVES; ION TEMPERATURE; ELECTRON TEMPERATURE; X CODES; ONE-DIMENSIONAL CALCULATIONS; semi-analytic shock solution

### Citation Formats

```
Ferguson, Jim Michael.
```*The “2T” ion-electron semi-analytic shock solution for code-comparison with xRAGE: A report for FY16*. United States: N. p., 2016.
Web. doi:10.2172/1329821.

```
Ferguson, Jim Michael.
```*The “2T” ion-electron semi-analytic shock solution for code-comparison with xRAGE: A report for FY16*. United States. doi:10.2172/1329821.

```
Ferguson, Jim Michael. Wed .
"The “2T” ion-electron semi-analytic shock solution for code-comparison with xRAGE: A report for FY16". United States. doi:10.2172/1329821. https://www.osti.gov/servlets/purl/1329821.
```

```
@article{osti_1329821,
```

title = {The “2T” ion-electron semi-analytic shock solution for code-comparison with xRAGE: A report for FY16},

author = {Ferguson, Jim Michael},

abstractNote = {This report documents an effort to generate the semi-analytic "2T" ion-electron shock solution developed in the paper by Masser, Wohlbier, and Lowrie, and the initial attempts to understand how to use this solution as a code-verification tool for one of LANL's ASC codes, xRAGE. Most of the work so far has gone into generating the semi-analytic solution. Considerable effort will go into understanding how to write the xRAGE input deck that both matches the boundary conditions imposed by the solution, and also what physics models must be implemented within the semi-analytic solution itself to match the model assumptions inherit within xRAGE. Therefore, most of this report focuses on deriving the equations for the semi-analytic 1D-planar time-independent "2T" ion-electron shock solution, and is written in a style that is intended to provide clear guidance for anyone writing their own solver.},

doi = {10.2172/1329821},

journal = {},

number = ,

volume = ,

place = {United States},

year = {Wed Oct 05 00:00:00 EDT 2016},

month = {Wed Oct 05 00:00:00 EDT 2016}

}