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ZND Detonations

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Contact us:
J.D. Maldonado
F.X.Timmes, my vitae

Zeldovich, Von Neumann, and Doring (ZND, 1943) independently formed a set of differential equations for a detonation which overcame the deficiencies of the Chapman-Jouget detonation model:

png image of znd equations

The ZND solution gives the:
  • width of the fuel-ash region
  • spatial variation of the hydrodynamic and thermodynamic variables
  • the self-sustating detonation solution
  • global integrals which reduce to the Chapman-Jouget solution.
The program below will compute the structure of a ZND detonation of an alpha-chain nuclear reaction network. Note, a detonation can be considered as a particular case of integrating a reaction network.


image
Helium detonation
Pressure structure
image
Helium detonation
Temperature structure
image
Subsonic until the CJ point


public_det.f
plus these include files:
implno.dek
const.dek
tfactors.dek
burn_common.dek
network.dek
dense_matrix.dek
vector_eos.dek
cjdet.dek
plus a 6.5 MB eos data file
helm_table.dat


Here is what the structure of a detonation looks like in 2D or 3D.

 



Please cite the relevant references if you publish a piece of work that use these codes, pieces of these codes, or modified versions of them. If you're nice, offer co-authorship of the publication. At best, you'll love these programs so much that you'll send great wads of cash to me.