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 onedimensional 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):
 LAUR1629415
Journal ID: ISSN 00222488; 10897658 (Electronic); TRN: US1801297
 Grant/Contract Number:
 AC5206NA25396
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Journal of Mathematical Physics
 Additional Journal Information:
 Journal Volume: 58; Journal Issue: 11; Journal ID: ISSN 00222488
 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. https://www.osti.gov/servlets/purl/1418762.
@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 onedimensional 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 = {2017},
month = {11}
}
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