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Title: 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:
 [1];  [1]
  1. 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:
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. 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 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 = {2017},
month = {11}
}

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