Symmetries of the Gas Dynamics Equations using the Differential Form Method

Ramsey, Scott D.; Baty, Roy S.

doi:10.1063/1.5011723

Title: Symmetries of the Gas Dynamics Equations using the Differential Form Method

Journal Article · Tue Nov 21 00:00:00 EST 2017 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.5011723· OSTI ID:1418762

Ramsey, Scott D. ^[1]; Baty, Roy S. ^[1]

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

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.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC52-06NA25396

OSTI ID:: 1418762

Alternate ID(s):: OSTI ID: 1409706

Report Number(s):: LA-UR-16-29415; 1089-7658 (Electronic); TRN: US1801297

Journal Information:: Journal of Mathematical Physics, Vol. 58, Issue 11; ISSN 0022-2488

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 5 works

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References (13)

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Cited By (2)

Piston driven converging shock waves in a stiffened gas Ramsey, Scott D.; Baty, Roy S. Physics of Fluids, Vol. 31, Issue 8 https://doi.org/10.1063/1.5109097	journal	August 2019
On the Symmetry of Blast Waves Baty, R. S.; Ramsey, S. D. arXiv https://doi.org/10.48550/arxiv.2103.05710	preprint	January 2021

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97 MATHEMATICS AND COMPUTING
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