Numerical Modeling of the Initiation of Reacting Shock Waves

Author(s):  
Andrew Majda ◽  
Victor Roytburd
1987 ◽  
Vol 53 (1) ◽  
pp. 763-767
Author(s):  
�. I. Vitkin ◽  
L. T. Perel'man ◽  
Yu. V. Khodyko

2015 ◽  
Vol 2015 ◽  
pp. 1-7 ◽  
Author(s):  
Tatiana Talipova ◽  
Efim Pelinovsky ◽  
Oxana Kurkina ◽  
Andrey Kurkin

Numerical modeling of dispersive shock waves called solibore in a stratified fluid is conducted. The theoretical model is based on extended version of the Korteweg-de Vries equation which takes into account the effects of cubic nonlinearity and Earth rotation. This model is now very popular in the physical oceanography. Initial conditions for simulations correspond to the real observed internal waves of shock-like shape in the Pechora Sea, the Arctic. It is shown that a sharp drop (like kink in the soliton theory) in the depth of the thermocline is conserved at a distance of one–three kilometers, and then it is transformed into dispersive shock waves (shock wave with undulations).


2016 ◽  
Vol 78 (1) ◽  
pp. 81-91
Author(s):  
E. G. Glazova ◽  
◽  
A. V. Kochetkov ◽  
S. V. Krylov ◽  
I. A. Turygina ◽  
...  

Author(s):  
M.A. Mogilevsky ◽  
L.S. Bushnev

Single crystals of Al were loaded by 15 to 40 GPa shock waves at 77 K with a pulse duration of 1.0 to 0.5 μs and a residual deformation of ∼1%. The analysis of deformation structure peculiarities allows the deformation history to be re-established.After a 20 to 40 GPa loading the dislocation density in the recovered samples was about 1010 cm-2. By measuring the thickness of the 40 GPa shock front in Al, a plastic deformation velocity of 1.07 x 108 s-1 is obtained, from where the moving dislocation density at the front is 7 x 1010 cm-2. A very small part of dislocations moves during the whole time of compression, i.e. a total dislocation density at the front must be in excess of this value by one or two orders. Consequently, due to extremely high stresses, at the front there exists a very unstable structure which is rearranged later with a noticeable decrease in dislocation density.


Sign in / Sign up

Export Citation Format

Share Document