Accession Number : AD0649386

Title :   HYPERSONIC RAREFIED PLASMA FLOWS.

Descriptive Note : Final rept., 14 Oct 66,

Corporate Author : GENERAL ELECTRIC CO PHILADELPHIA PA MISSILE AND SPACE DIV

Personal Author(s) : Scala,Sinclaire M.

Report Date : 15 OCT 1966

Pagination or Media Count : 79

Abstract : A numerical method for the solution of the non-linear Boltzmann equation of hard sphere molecules is developed, in which approximations are made only in the sense of numerical truncations. The distribution function is evaluated at a three-dimensional grid of distinct velocity points. A five fold Gaussian quadrature is performed to evaluate the five derivatives at these points. The distribution function is then evaluated at t sub o + delta t by solving a system of first order ordinary differential equations. In the non-linear case the grid is no longer closed, and the procedure to circumvent the difficulty is described. This technique is applied to the problem of non-linear, homogeneous, pseudo-shock relaxation. (Author)

Descriptors :   (*MAGNETOHYDRODYNAMICS, *HYPERSONIC FLOW), INTEGRAL EQUATIONS, RAREFIED GAS DYNAMICS, DISTRIBUTION FUNCTIONS, MATHEMATICAL MODELS, KNUDSEN NUMBER, NUMERICAL METHODS AND PROCEDURES, NONLINEAR SYSTEMS

Subject Categories : Plasma Physics and Magnetohydrodynamics

Distribution Statement : APPROVED FOR PUBLIC RELEASE