Accession Number : AD0655647

Title :   A NUMERICAL SOLUTION OF THE BOLTZMANN EQUATION FOR A TWO-DIMENSIONAL GAS,

Corporate Author : CALIFORNIA UNIV BERKELEY DIV OF AERONAUTICAL SCIENCES

Personal Author(s) : Robben,Frank

Report Date : APR 1967

Pagination or Media Count : 42

Abstract : An attempt to solve the Boltzmann equation numerically was carried out by means of a more direct method than the Monte-Carlo technique. The initial value problem of the energy relaxation of a two-dimensional gas of hard spheres was studied, using direct numerical integration techniques. A finite difference approximation to the Boltzmann equation was used. While the results are qualitatively correct, conservation of energy and number were violated to the extent of about 4% per collision. On comparing the detailed results to that predicted by a Krook model, quantitative differences are noted. It is believed that the inaccuracies of the solutions obtained are due to a singularity in the collision integrals. (Author)

Descriptors :   (*TWO DIMENSIONAL FLOW, NUMERICAL ANALYSIS), EQUATIONS OF MOTION, GAS FLOW, INTEGRAL EQUATIONS, NONEQUILIBRIUM FLOW

Subject Categories : Aerodynamics
      Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE