Accession Number : AD0604749

Title :   A DISCRETE ORDINATE TECHNIQUE FOR THE LINEARIZED BOLTZMANN EQUATION WITH APPLICATION TO COUETTE FLOW,

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

Personal Author(s) : Hamel,B. B. ; Wachman,M.

Report Date : AUG 1964

Pagination or Media Count : 80

Abstract : A numerical method for the solution of the linearized Boltzmann equation of hard sphere molecules is developed here, in which approximations are made only in sense of numerical truncations. The distribution function is considered at n discrete points in velocity space, and a closed symmetric set of differential equations is developed which describe the evolution of the distribution function at each of these discrete points. The key point of the method is the approximation, by a finite sum, of the collision integral, utilizing Gauss quadrature (integration) formulas. The method is applied to the problem of linearized Couette flow of hard sphere molecules. Numerical results are obtained for the moments and for the perturbation distribution function at the discrete points. (Author)

Descriptors :   (*NUMERICAL METHODS AND PROCEDURES, COUETTE FLOW), (*COUETTE FLOW, NUMERICAL ANALYSIS), (*RAREFIED GAS DYNAMICS, NUMERICAL METHODS AND PROCEDURES), INTEGRAL EQUATIONS, DIFFERENTIAL EQUATIONS, BOUNDARY VALUE PROBLEMS, SPHERES, MOLECULES, STATISTICAL FUNCTIONS, INTEGRALS, NUMERICAL INTEGRATION

Distribution Statement : APPROVED FOR PUBLIC RELEASE