
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 NordsieckHicks Monte Carlo method of evaluating the collision integral. We have made and interpreted the tests for three approximate solutions for shock waves: MottSmith, 6moment, and NavierStokes. 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