## This content will become publicly available on December 27, 2020

# 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

- Report Number(s):
- LA-UR-19-26111

Journal ID: ISSN 0167-2789

- 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 0167-2789

- Publisher:
- Elsevier

- Country of Publication:
- United States

- Language:
- English

### 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.
```

```
@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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