On the Convergence of the Solution to the Gross-Jackson's Kinetic Model Equation

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概要

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• The Boltzmann equation with the Gross-Jackson's collision model, i.e., the Gross-Jackson's model equation was solved by applying the half-range Hermitepolynomials. It was found that the solution to the model equation converged ratherrapidly as long as the scaling factor p was of 0(1). The rate of the convergence seemedto be dependent on the value of p but if the collision term included sufficient eigen-values to the Boltzmann collision operator, the solution was, in practice, independentof the value of p. The velocity slip coefficient obtained showed a good agreement withthe result of the direct Monte Carlo simulation to the full Boltzmann equation.

• 社団法人日本物理学会の論文
• 1986-11-15

著者

• Soga Takeo

  Department Of Aeronautical Engineering Faculty Of Engineering Nagoya University

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