A finite scale model for shock structure

Margolin, Len G.; Plesko, Catherine Suzanne; Reisner, Jon Michael

doi:10.1016/j.physd.2019.132308

A finite scale model for shock structure

Journal Article · Fri Dec 27 00:00:00 EST 2019 · Physica. D, Nonlinear Phenomena

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

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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.

View Accepted Manuscript (DOE)

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

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