
Accession Number : AD0722184
Title : Truncation Procedure for the Spatially Homogeneous Boltzmann Equation,
Corporate Author : NORTHWESTERN UNIV EVANSTON ILL TECHNOLOGICAL INST
Personal Author(s) : Ward,C. A. ; Mintzer,D.
Report Date : 26 OCT 1970
Pagination or Media Count : 11
Abstract : The usual truncation procedure for coefficient equations is shown to be inconsistent for a certain class of initialvalue problems in that it retains terms of one magnitude while neglecting terms of the same or greater magnitude. Moreover, it predicts moments which are strongly dependent on the zeroorder function used in the expansion of the distribution function. A truncation procedure is developed for spatially homogeneous (time relaxation) problems which gives rise to moments which are independent of the particular zeroorder function used in the expansion; and which, for certain general initial distribution functions, are correct in value and firstderivative both initially and in equilibrium. As an example, this procedure is used to solve the twotemperature singlegas mixture problem. (Author)
Descriptors : (*STATISTICAL MECHANICS, EQUATIONS OF MOTION), (*GAS FLOW, *KINETIC THEORY), PARTIAL DIFFERENTIAL EQUATIONS, BOUNDARY VALUE PROBLEMS, NUMERICAL ANALYSIS, NUMERICAL INTEGRATION, DISTRIBUTION FUNCTIONS, POLYNOMIALS, TRANSPORT PROPERTIES
Subject Categories : Physical Chemistry
Thermodynamics
Distribution Statement : APPROVED FOR PUBLIC RELEASE