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Title: Application of MACH2 to explosive magnetic flux compression generators: Improvements in detonation modeling. Final report

Abstract

Dramatic improvements have been made to the detonation modeling capability recently incorporated into MACH2. These improvements significantly improve the flexibility of the detonation model, allow for accurate depiction of real explosives, and permit highly efficient modeling of long, coaxial generators. In this document, we will first describe these improvements in some detail. We will then discuss the calibration of the detonation model to two explosive materials, PBX9501 and PBXN110. Finally, we will demonstrate the code`s capability for modeling long, coaxial magnetocumulative generators.

Authors:
;  [1]
  1. NumerEx Corp., Albuquerque, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Lab., NM (United States); NumerEx Corp., Albuquerque, NM (United States)
Sponsoring Org.:
USDOE, Washington, DC (United States)
OSTI Identifier:
219535
Report Number(s):
LA-SUB-96-52
ON: DE96009189
DOE Contract Number:
W-7405-ENG-36
Resource Type:
Technical Report
Resource Relation:
Other Information: PBD: 27 Apr 1994
Country of Publication:
United States
Language:
English
Subject:
45 MILITARY TECHNOLOGY, WEAPONRY, AND NATIONAL DEFENSE; 99 MATHEMATICS, COMPUTERS, INFORMATION SCIENCE, MANAGEMENT, LAW, MISCELLANEOUS; 42 ENGINEERING NOT INCLUDED IN OTHER CATEGORIES; CHEMICAL EXPLOSIONS; M CODES; IMPACT TESTS; PROGRESS REPORT; EQUATIONS OF STATE; MESH GENERATION; MAGNETIC COMPRESSION; PULSE GENERATORS

Citation Formats

Watrous, J.J., and Frese, M.H. Application of MACH2 to explosive magnetic flux compression generators: Improvements in detonation modeling. Final report. United States: N. p., 1994. Web. doi:10.2172/219535.
Watrous, J.J., & Frese, M.H. Application of MACH2 to explosive magnetic flux compression generators: Improvements in detonation modeling. Final report. United States. doi:10.2172/219535.
Watrous, J.J., and Frese, M.H. 1994. "Application of MACH2 to explosive magnetic flux compression generators: Improvements in detonation modeling. Final report". United States. doi:10.2172/219535. https://www.osti.gov/servlets/purl/219535.
@article{osti_219535,
title = {Application of MACH2 to explosive magnetic flux compression generators: Improvements in detonation modeling. Final report},
author = {Watrous, J.J. and Frese, M.H.},
abstractNote = {Dramatic improvements have been made to the detonation modeling capability recently incorporated into MACH2. These improvements significantly improve the flexibility of the detonation model, allow for accurate depiction of real explosives, and permit highly efficient modeling of long, coaxial generators. In this document, we will first describe these improvements in some detail. We will then discuss the calibration of the detonation model to two explosive materials, PBX9501 and PBXN110. Finally, we will demonstrate the code`s capability for modeling long, coaxial magnetocumulative generators.},
doi = {10.2172/219535},
journal = {},
number = ,
volume = ,
place = {United States},
year = 1994,
month = 4
}

Technical Report:

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  • An explosive model has recently been designed and added to MACH2 to enable that code to be used as a tool for studying explosive magnetic flux compression generators. This report describes this model and gives examples of its use in both one- and two-dimensional simulations. A description of the model is given and one-dimensional simulations will be discussed. Also, we show examples of two-dimensional simulations. Appendices contain input decks for the one- and two-dimensional simulations and a listing of the modifications made to MACH2 for this purpose.
  • This is the second monograph devoted to the analysis of flux losses in explosive driven magnetic flux compression generators. In the first monograph, flux losses from magnetic field penetration into conductor walls was studied by conventional diffusion theory. In the present report flux loss by radiation from the outer conductor walls is treated. Flux leakage rates through walls of finite thickness are first obtained by diffusion theory. It is shown, for normal wall thicknesses, that flux leakage is determined essentially by the wall conductance, defined as the product of wall thickness and wall conductivity. This remains true when the wallmore » thickness is reduced to zero at unchanged conductance. In this case the wall is said to be coalesced. Solutions for a cavity bounded by a perfect conductor on one side and a coalesced wall on the other are then obtained using the complete Maxwell wave equations in both the cavity and free space beyond the coalesced wall. Several anomalies, noted earlier, that arise from diffusion analysis are resolved by the wave treatment. Conditions for the validity of the diffusion treatment are noted, and an expression is obtained within the framework of diffusion theory for energy radiated into space from the cavity walls. The free space wave equations are solved by using the method of characteristics in both the cavity and free space regions. An extension of the characteristic method to situations where the constitutive relations are non-linear is outlined in an appendix. For a special class of these relations, Riemann-like invariants are determined explicitly and used to solve a particular example.« less
  • This is the first of three monographs devoted to a detailed analysis of magnetic flux losses in explosive-driven flux compression generators. Magnetic field diffusion into generator conductors can lead to substantial losses. A study of linear diffusion is therefore the major subject treated in this report. Diffusion analysis is considerably complicated by the presence of moving conductors and the compression of magnetic flux. Consequently the text is treated in a tutorial fashion. This is particularly true in the earlier parts of the report where formulation of basic equations, various conservation laws, and problem solutions are treated in considerable detail. Amore » point of departure from earlier treatments of the subject is the addition of external circuits to the generators. It is shown that the influence of these circuits enters into the boundary conditions for the diffusion equations. A number of new analytic solutions are obtained for various external circuits.« less