in the shock tube at the initial stage. The comparison of experimental and
computational physical dependences (see Fig 8) allows noting satisfactory
coincidence between them.
Conclusion.
The numerical methods and the computation code for
non-stationary one-dimensional radiation magnetogasdynamic models are
developed, which are intended to describe the thermophysical processes in
various types of shock tubes. The numerical solution of the non-stationary
radiation magnetogasdynamic model described in this article is based
on the splitting method according to the physical processes and spatial
directions. The solution of the splitted equations is to be found using
the developed non-linear quasimonotonous compact difference scheme of
the higher order of accuracy, which allows achieving the seventh order of
accuracy in the spatial smooth part of the numerical solution. The proposed
mathematical apparatus can be used for solving more complicated Reynolds
equations. The solution to the formulated problem will enhance the further
experimental and theoretical research into the shock tubes.
The work has been fulfilled in the Laboratory for Radiation Gas
Dynamics at Ishlinskii Institute for Problems in Mechanics of the Russian
Academy of Science (RAS) within the programme of RAS Fundamental
Research.
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22 ISSN 0236-3941. HERALD of the BMSTU. Series “Mechanical Engineering”. 2014. No. 1