A MATHEMATICAL DESCRIPTION USING SUCHKHOV’S SOLUTION OF THE TWO METHODS OF GAS-DYNAMICALLY IMPACTING A TARGET
E. I. Ponkin
VANT. Ser.: Mat. Mod. Fiz. Proc 2022. Вып.2. С. 27-39.
It is proposed to use a Suchkov’s double wave as a partial solution to the system of equations describing a 2D gas dynamic flow adjoining an inclined wall for the mathematical modeling of the two methods of impacting a target in controlled thermonuclear fusion experiments. It has been found that the first method of impacting the target by a moving compression impermeable piston causes the generation of a large local cumulation region in the vicinity of the point of piston abutment to the inclined wall. The more acute is the angle between the impermeable piston surface and the oblique wall at the initial time, the larger are this region and cumulation parameters. The second method of impacting the target leads to the gas compression in Suchkov’s double wave by the permeable piston with a given pressure. The line of this piston is always orthogonal to the inclined wall and, naturally, the effect of large local cumulation is not observed. For both methods, the values of gas dynamic parameters and integral characteristics of compression flows were found, as well as gas masses compressed to different densities and energy contributions from various sections of compressing pistons to the total compression process were determined. Keywords: a centered wave, a Suchkov’s double wave, the piston motion law, gas dynamic parameters.
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