ON THE ACCURACY OF APPROXIMATE SOLUTIONS OF THE BOLTZMANN EQUATION.
ILLINOIS UNIV URBANA COORDINATED SCIENCE LAB
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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
- Physical Chemistry
- Statistics and Probability
- Fluid Mechanics