0
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.

Copyright © 2016 by ASME
Your Session has timed out. Please sign back in to continue.

References

ASME 2006 , “ Performance Test Code Committee 60: Verification and Validation in Computational Solid Mechanics,” Guide for Verification and Validation in Computational Solid Mechanics, American Society for Mechanical Engineers, New York, Standard No. ASME V&V 10-2006.
Fickett, W. , and Rivard, C. , 1974, “ Test Problems for Hydrocodes,” Los Alamos Scientific Laboratory, Los Alamos, NM, Report No. LA-5479.
Painter, J. W. , 2001, “ BLANCA Project: More on the Escape of HE Products Problem,” Los Alamos National Laboratory, Los Alamos, NM, Repot No. LA-UR-01-6549.
Dykema, P. , Brandon, S. , Bolstad, J. , Woods, T. , and Klein, R. , 2002, “ Level 1 V. & V. Test Problem 10: Escape of High Explosive Products,” Lawrence Livermore National Laboratory, Livermore, CA, Report No. UCRL-ID-150418.
Doebling, S. W. , Israel, D. M. , Singleton, R. L. , Woods, C. N. , Kaul, A. , and Walter, J. , 2016, “ ExactPack v1.4,” Technical Report, Los Alamos National Laboratory, Los Alamos, NM, Report No. LA-CC-14-047, accessed on Sept. 26, 2016, http://github.com/losalamos/exactpack
Fickett, W. , and Davis, W. C. , 1979, Detonation: Theory and Experiment, University of California Press, Berkeley, CA.
Landau, L. D. , and Lifshitz, E. M. , 1959, Fluid Mechanics, Pergamon Press, Oxford.
Burton, D. , 1990, “ Conservation of Energy, Momentum, and Angular Momentum in Lagrangian Staggered-Grid Hydrodynamics,” Lawrence Livermore National Laboratory, Livermore, CA, Report No. UCRL-JC-105926.
Mandell, D. , Burton, D. , and Lund, C. , 1998, “ High Explosive Programmed Burn in the Flag Code,” Los Alamos National Laboratory, Los Alamos, NM, Report No. LA-13406.
V&V20 Committee, 2009, “ Verification and Validation in Computational Fluid Dynamics and Heat Transfer,” American Society for Mechanical Engineers, New York, Standard No. ASME V&V 20-2009.
Srinivasan, G. , Vaughan, D. , and Doebling, S. , 2016, “ Verification of Code Convergence Order Using Regression and Optimization Methods,” ASME J. Verif. Valid. Uncert. (submitted).
Banks, J. , Aslam, T. , and Rider, W. , 2008, “ On Sub-Linear Convergence for Linearly Degenerate Waves in Capturing Schemes,” J. Comput. Phys., 227(14), pp. 6985–7002. [CrossRef]

Figures

Grahic Jump Location
Fig. 1

The escape of HE products problem

Grahic Jump Location
Fig. 2

The x − t diagram of the exact solution regions

Grahic Jump Location
Fig. 3

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

Grahic Jump Location
Fig. 4

Snapshots of the exact solution for density at various times

Grahic Jump Location
Fig. 5

Snapshots of the exact solution for pressure at various times

Grahic Jump Location
Fig. 6

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

Grahic Jump Location
Fig. 7

Snapshots of the exact solution for particle velocity at various times

Grahic Jump Location
Fig. 8

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

Grahic Jump Location
Fig. 9

Convergence of calculated density at t = 0.5 μs

Grahic Jump Location
Fig. 10

Convergence of calculated velocity at t = 0.5 μs

Grahic Jump Location
Fig. 11

Convergence of calculated density at t = 3.1 μs

Grahic Jump Location
Fig. 12

Convergence of calculated velocity at t = 3.1 μs

Grahic Jump Location
Fig. 13

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

Grahic Jump Location
Fig. 14

Convergence of calculated density at t = 5.0 μs

Grahic Jump Location
Fig. 15

Convergence of calculated velocity at t = 5.0 μs

Grahic Jump Location
Fig. 16

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

Tables

Errata

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In