Accession Number : AD0636523

Title :   ON THE ACCURACY OF APPROXIMATE SOLUTIONS OF THE BOLTZMANN EQUATION.

Corporate Author : ILLINOIS UNIV URBANA COORDINATED SCIENCE LAB

Personal Author(s) : YEN, S. M. ; Hicks,Bruce L.

Report Date : JUL 1966

Pagination or Media Count : 30

Abstract : Tests of the accuracy of approximate solutions of the Boltzmann equation for rarefied gas flow problems under conditions of strong deviation from thermal equilibrium have been developed by using the Nordsieck-Hicks Monte Carlo method of evaluating the collision integral. We have made and interpreted the tests for three approximate solutions for shock waves: Mott-Smith, 6-moment, and Navier-Stokes. In particular we have studied the collision integral for three approximate solutions, the distribution of errors of the solutions in velocity space, their relative inaccuracies at different positions in the shock, and certain moments of their distribution functions and collision integrals that are not calculable analytically. (Author)

Descriptors :   (*APPROXIMATION(MATHEMATICS), *RAREFIED GAS DYNAMICS), (*INTEGRAL EQUATIONS, APPROXIMATION(MATHEMATICS)), DISTRIBUTION FUNCTIONS, KINETIC THEORY

Subject Categories : Physical Chemistry
      Statistics and Probability
      Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE