# Symmetries of the Gas Dynamics Equations using the Differential Form Method

## Abstract

Here, a brief review of the theory of exterior differential systems and isovector symmetry analysis methods is presented in the context of the one-dimensional inviscid compressible flow equations. These equations are formulated as an exterior differential system with equation of state (EOS) closure provided in terms of an adiabatic bulk modulus. The scaling symmetry generators—and corresponding EOS constraints—otherwise appearing in the existing literature are recovered through the application and invariance under Lie derivative dragging operations.

- 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:
- 1418762

- Alternate Identifier(s):
- OSTI ID: 1409706

- Report Number(s):
- LA-UR-16-29415

Journal ID: ISSN 0022-2488; 1089-7658 (Electronic); TRN: US1801297

- Grant/Contract Number:
- AC52-06NA25396

- Resource Type:
- Journal Article: Accepted Manuscript

- Journal Name:
- Journal of Mathematical Physics

- Additional Journal Information:
- Journal Volume: 58; Journal Issue: 11; Journal ID: ISSN 0022-2488

- Publisher:
- American Institute of Physics (AIP)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 97 MATHEMATICS AND COMPUTING; Fluid flows; Differential geometry; Bulk modulus; Equations of state; Fluid

### Citation Formats

```
Ramsey, Scott D., and Baty, Roy S.
```*Symmetries of the Gas Dynamics Equations using the Differential Form Method*. United States: N. p., 2017.
Web. doi:10.1063/1.5011723.

```
Ramsey, Scott D., & Baty, Roy S.
```*Symmetries of the Gas Dynamics Equations using the Differential Form Method*. United States. doi:10.1063/1.5011723.

```
Ramsey, Scott D., and Baty, Roy S. Tue .
"Symmetries of the Gas Dynamics Equations using the Differential Form Method". United States.
doi:10.1063/1.5011723.
```

```
@article{osti_1418762,
```

title = {Symmetries of the Gas Dynamics Equations using the Differential Form Method},

author = {Ramsey, Scott D. and Baty, Roy S.},

abstractNote = {Here, a brief review of the theory of exterior differential systems and isovector symmetry analysis methods is presented in the context of the one-dimensional inviscid compressible flow equations. These equations are formulated as an exterior differential system with equation of state (EOS) closure provided in terms of an adiabatic bulk modulus. The scaling symmetry generators—and corresponding EOS constraints—otherwise appearing in the existing literature are recovered through the application and invariance under Lie derivative dragging operations.},

doi = {10.1063/1.5011723},

journal = {Journal of Mathematical Physics},

number = 11,

volume = 58,

place = {United States},

year = {Tue Nov 21 00:00:00 EST 2017},

month = {Tue Nov 21 00:00:00 EST 2017}

}

Free Publicly Available Full Text

This content will become publicly available on November 21, 2018

Publisher's Version of Record

DOI: 10.1063/1.5011723

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