## The escape of high explosive products: An exact-solution problem for verification of hydrodynamics codes

## Abstract

This paper documents the escape of high explosive (HE) products problem. The problem, first presented by Fickett & Rivard, tests the implementation and numerical behavior of a high explosive detonation and energy release model and its interaction with an associated compressible hydrodynamics simulation code. The problem simulates the detonation of a finite-length, one-dimensional piece of HE that is driven by a piston from one end and adjacent to a void at the other end. The HE equation of state is modeled as a polytropic ideal gas. The HE detonation is assumed to be instantaneous with an infinitesimal reaction zone. Via judicious selection of the material specific heat ratio, the problem has an exact solution with linear characteristics, enabling a straightforward calculation of the physical variables as a function of time and space. Lastly, implementation of the exact solution in the Python code ExactPack is discussed, as are verification cases for the exact solution code.

- 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

- OSTI Identifier:
- 1331259

- Report Number(s):
- LA-UR-15-22547

Journal ID: ISSN 2377-2158

- Grant/Contract Number:
- AC52-06NA25396

- Resource Type:
- Accepted Manuscript

- Journal Name:
- Journal of Verification, Validation and Uncertainty Quantification

- Additional Journal Information:
- Journal Name: Journal of Verification, Validation and Uncertainty Quantification; Journal ID: ISSN 2377-2158

- Publisher:
- ASME

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 97 MATHEMATICS AND COMPUTING; code verification; hydrodynamics; high explosives; explosives; explosions; simulation; equations of state; pistons; specific heat

### Citation Formats

```
Doebling, Scott William. The escape of high explosive products: An exact-solution problem for verification of hydrodynamics codes. United States: N. p., 2016.
Web. doi:10.1115/1.4035031.
```

```
Doebling, Scott William. The escape of high explosive products: An exact-solution problem for verification of hydrodynamics codes. United States. doi:10.1115/1.4035031.
```

```
Doebling, Scott William. Sat .
"The escape of high explosive products: An exact-solution problem for verification of hydrodynamics codes". United States. doi:10.1115/1.4035031. https://www.osti.gov/servlets/purl/1331259.
```

```
@article{osti_1331259,
```

title = {The escape of high explosive products: An exact-solution problem for verification of hydrodynamics codes},

author = {Doebling, Scott William},

abstractNote = {This paper documents the escape of high explosive (HE) products problem. The problem, first presented by Fickett & Rivard, tests the implementation and numerical behavior of a high explosive detonation and energy release model and its interaction with an associated compressible hydrodynamics simulation code. The problem simulates the detonation of a finite-length, one-dimensional piece of HE that is driven by a piston from one end and adjacent to a void at the other end. The HE equation of state is modeled as a polytropic ideal gas. The HE detonation is assumed to be instantaneous with an infinitesimal reaction zone. Via judicious selection of the material specific heat ratio, the problem has an exact solution with linear characteristics, enabling a straightforward calculation of the physical variables as a function of time and space. Lastly, implementation of the exact solution in the Python code ExactPack is discussed, as are verification cases for the exact solution code.},

doi = {10.1115/1.4035031},

journal = {Journal of Verification, Validation and Uncertainty Quantification},

number = ,

volume = ,

place = {United States},

year = {2016},

month = {10}

}