
Accession Number : AD0644490
Title : A DISCRETE ORDINATE TECHNIQUE FOR THE NONLINEAR BOLTZMANN EQUATION WITH APPLICATION TO PSEUDOSHOCK RELAXATION.
Descriptive Note : Technical information series,
Corporate Author : GENERAL ELECTRIC CO PHILADELPHIA PA MISSILE AND SPACE DIV
Personal Author(s) : Wachman,M. ; Hamel,B. B.
Report Date : DEC 1966
Pagination or Media Count : 36
Abstract : A numerical method for the solution of the nonlinear Boltzmann equation for hard sphere molecules is developed, in which approximations are made only in the sense of numerical truncations. This is an extension of the work on the linearized Boltzmann equation previously reported in AD604 749. The distribution function is evaluated at a threedimensional grid of distinct velocity points. A five fold Gaussian quadrature is performed to evaluate the 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 nonlinear case the grid is no longer closed, and the procedure to circumvent the difficulty is described. In the present paper, this technique is applied to the problem of nonlinear, homogeneous, pseudoshock relaxation. (Author)
Descriptors : (*NUMERICAL METHODS AND PROCEDURES, *NONLINEAR DIFFERENTIAL EQUATIONS), (*RAREFIED GAS DYNAMICS, RELAXATION TIME), KINETIC THEORY, SHOCK WAVES, DISTRIBUTION FUNCTIONS, STATISTICAL MECHANICS
Subject Categories : Fluid Mechanics
Distribution Statement : APPROVED FOR PUBLIC RELEASE