METHODS FOR COMPUTATION OF UNLIMITED GAS GOMPRESSION IN 2D METHOD 3D FORMULATIONS
A.F. Sidorov, O.B. Khairullina VANT. Ser.: Mat. Mod. Fiz. Proc 1997. Вып.1. С. 63.
The results of study series on one and multidimensional shockfree gas compression processes leading to unlimited increase in density and energy cumulation are summarized in paper. The problem of construction of laws for control over such compression leads to unconventional formulations of boundary problems for gas dynamics equations. In these problems laws of motion of movable compressing pistons and pressure distributions in them have to be found by given flow properties (entropy constancy, unlimited density growth). The report presented results of research into new options of control over unlimited compression, as well as new estimations of physical parameters for some earlier discussed compression processes. A combination of analytical and numerical approaches was used to construct laws of control over compression of coneshaped gas volumes at an arbitrary taper angle a and adiabatic exponent γ (the inconsistent case). Estimates for the constants of energy spent for compression are found in asymptotic representations. Nonselfsimilar processes are studied to obtain unlimited growth in gas density at prism and tetrahedron compression. A powerful cumulative jet is shown to generate at coupling of arbitrary non selfsimilar onedimensional unlimited compression flows. In this the degrees of cumulation of the basic gasdynamical values are the same as at unlimited selfsimilar prism compression (in two dimensions) and do not depend on the onedimensional compression control laws, Thereby it was found that the flow field in the severe compression region is of independent character, while the multidimensional compression process is stable with respect to perturbations of onedimensional flow fields. Dynamics computations of gas involvement in the superstrong compression process were made, asymptotic estimations of compressed gas optical thicknesses and their dependence on the spent energy values in 2D planar and axisymmetric cases were constructed. The work was carried out under the auspices of Russian Fundamental Reseach Foundation (project N 9601— 00115).
