A finite scale model for shock structure

Journal Article · 26 December 2019 · Physica. D, Nonlinear Phenomena

DOI: https://doi.org/10.1016/j.physd.2019.132308 · OSTI ID:1581576

Margolin, Len G.  ^[1]; Plesko, Catherine Suzanne  ^[1]; Reisner, Jon Michael  ^[1]

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

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.

• Research Organization: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
• Sponsoring Organization: USDOE National Nuclear Security Administration (NNSA)
• Grant/Contract Number: 89233218CNA000001
• OSTI ID: 1581576
• Alternate ID(s): OSTI ID: 1693718
• Report Number(s): LA-UR--19-26111
• Journal Information: Physica. D, Nonlinear Phenomena, Journal Name: Physica. D, Nonlinear Phenomena Journal Issue: C Vol. 403; ISSN 0167-2789
• Publisher: ElsevierCopyright Statement
• Country of Publication: United States
• Language: English