A finite scale model for shock structure
Abstract
In this paper we explore the use of a finite scale model of fluid dynamics to predict the finite structure of a shock wave in a perfect gas. We begin by documenting the history and issues that have arisen when Navier–Stokes theory is applied to the shock structure problem, and continue by motivating the improvement that finite scale theory might provide from its representation of inviscid (anomalous) dissipation. Furthermore, our primary results include the formulation of a traveling wave equation from finite scale theory, an analysis of the solutions of that equation as regards shock width and monotonicity properties, and an estimation of the critical parameter of the theory from experimental data.
 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 National Nuclear Security Administration (NNSA)
 OSTI Identifier:
 1581576
 Alternate Identifier(s):
 OSTI ID: 1693718
 Report Number(s):
 LAUR1926111
Journal ID: ISSN 01672789
 Grant/Contract Number:
 89233218CNA000001
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Physica. D, Nonlinear Phenomena
 Additional Journal Information:
 Journal Volume: 403; Journal Issue: C; Journal ID: ISSN 01672789
 Publisher:
 Elsevier
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Citation Formats
Margolin, Len G., Plesko, Catherine Suzanne, and Reisner, Jon Michael. A finite scale model for shock structure. United States: N. p., 2019.
Web. doi:10.1016/j.physd.2019.132308.
Margolin, Len G., Plesko, Catherine Suzanne, & Reisner, Jon Michael. A finite scale model for shock structure. United States. doi:10.1016/j.physd.2019.132308.
Margolin, Len G., Plesko, Catherine Suzanne, and Reisner, Jon Michael. Fri .
"A finite scale model for shock structure". United States. doi:10.1016/j.physd.2019.132308. https://www.osti.gov/servlets/purl/1581576.
@article{osti_1581576,
title = {A finite scale model for shock structure},
author = {Margolin, Len G. and Plesko, Catherine Suzanne and Reisner, Jon Michael},
abstractNote = {In this paper we explore the use of a finite scale model of fluid dynamics to predict the finite structure of a shock wave in a perfect gas. We begin by documenting the history and issues that have arisen when Navier–Stokes theory is applied to the shock structure problem, and continue by motivating the improvement that finite scale theory might provide from its representation of inviscid (anomalous) dissipation. Furthermore, our primary results include the formulation of a traveling wave equation from finite scale theory, an analysis of the solutions of that equation as regards shock width and monotonicity properties, and an estimation of the critical parameter of the theory from experimental data.},
doi = {10.1016/j.physd.2019.132308},
journal = {Physica. D, Nonlinear Phenomena},
number = C,
volume = 403,
place = {United States},
year = {2019},
month = {12}
}
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