ON THE ACCURACY OF APPROXIMATE SOLUTIONS OF THE BOLTZMANN EQUATION.

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)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1966
Accession Number
AD0636523

Entities

People

  • Bruce L. Hicks
  • S. M. Yen

Organizations

  • University of Illinois Urbana–Champaign

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Boltzmann Equation
  • Collisions
  • Distribution Functions
  • Equations
  • Gas Dynamics
  • Gas Flow
  • Gases
  • Integrals
  • Monte Carlo Method
  • Rarefied Gas Dynamics
  • Rarefied Gases
  • Shock
  • Shock Waves

Readers

  • Calculus or Mathematical Analysis
  • Plasma Physics / Magnetohydrodynamics

Technology Areas

  • Space