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Research Papers

The Escape of High Explosive Products: An Exact-Solution Problem for Verification of Hydrodynamics Codes

[+] Author and Article Information
Scott W. Doebling

Verification & Analysis (XCP-8),
Los Alamos National Laboratory,
Los Alamos, NM 87544
e-mail: doebling@lanl.gov

Manuscript received April 21, 2015; final manuscript received October 18, 2016; published online December 2, 2016. Assoc. Editor: Urmila Ghia.The United States Government retains, and by accepting the article for publication, the publisher acknowledges that the United States Government retains, a nonexclusive, paid-up, irrevocable, worldwide license to publish or reproduce the published form of this work, or allow others to do so, for United States government purposes.

J. Verif. Valid. Uncert 1(4), 041001 (Dec 02, 2016) (13 pages) Paper No: VVUQ-15-1018; doi: 10.1115/1.4035031 History: Received April 21, 2015; Revised October 18, 2016

This paper documents the escape of high explosive (HE) products problem and demonstrates the use of the problem for code verification assessment. The problem, first presented by Fickett and Rivard (1974, “Test Problems for Hydrocodes,” LASL Report, Los Alamos Scientific Laboratory, Los Alamos, NM, Report No. LA-5479), 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. Implementation of the exact solution in the Python code ExactPack is discussed, as are verification cases for the exact solution code. The problem is used to conduct code verification assessment on a Lagrangian hydrodynamics code.

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Figures

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Fig. 1

The escape of HE products problem

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Fig. 2

The x − t diagram of the exact solution regions

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Fig. 3

The exact solution of the physical variables in the x − t plane

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Fig. 4

Snapshots of the exact solution for density at various times

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Fig. 5

Snapshots of the exact solution for pressure at various times

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Fig. 6

Snapshots of the exact solution for specific internal energy at various times

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Fig. 7

Snapshots of the exact solution for particle velocity at various times

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Fig. 8

Mesh and velocity values for FLAG 1D calculation at four times

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Fig. 9

Convergence of calculated density at t = 0.5 μs

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Fig. 10

Convergence of calculated velocity at t = 0.5 μs

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Fig. 11

Convergence of calculated density at t = 3.1 μs

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Fig. 12

Convergence of calculated velocity at t = 3.1 μs

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Fig. 13

Convergence of calculated velocity at t = 3.1 μs over domain x = [0, 1.0] cm

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Fig. 14

Convergence of calculated density at t = 5.0 μs

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Fig. 15

Convergence of calculated velocity at t = 5.0 μs

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Fig. 16

Convergence of calculated velocity at t = 5.0 μs over domain x = [0, 3.0] cm

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