Modeling shock waves in an ideal gas: Going beyond the Navier-Stokes level

Journal Article · Fri Jan 01 00:00:00 EST 1993 · Physical Review E; (United States)

DOI:https://doi.org/10.1103/PhysRevE.47.R24· OSTI ID:7119944

Holian, B L; Patterson, C W ^[1]; Mareschal, M; Salomons, E ^[2]

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1. Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)
2. Centre Euopeen de Calcul Atomique et Moleculaire, Universite Paris-Sud, 91405 Orsay CEDEX (France)

We model a shock wave in an ideal gas by solving a modified version of the compressible Navier-Stokes equations of hydrodynamics, where, following an earlier conjecture by Holian [Phys. Rev. A 37, 2562 (1988)], we use the temperature in the direction of shock propagation [ital T][sub [ital x][ital x]], rather than the average temperature [ital T]=([ital T][sub [ital x][ital x]]+[ital T][sub [ital y][ital y]]+[ital T][sub [ital z][ital z]])/3, in the evaluation of the linear transport coefficients. The results are found to agree much better with the molecular-dynamics simulations of Salomons and Mareschal [Phys. Rev. Lett. 69, 269 (1992)] than standard Navier-Stokes theory.

• OSTI ID: 7119944
• Journal Information: Physical Review E; (United States), Vol. 47:1; ISSN 1063-651X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
GASES
SHOCK WAVES
MATHEMATICAL MODELS
HYDRODYNAMICS
NAVIER-STOKES EQUATIONS
WAVE PROPAGATION
DIFFERENTIAL EQUATIONS
EQUATIONS
FLUID MECHANICS
FLUIDS
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
661000* - General Physics- (1992-)