Transport Coefficients in Direct Simulation Monte Carlo Method for Rarefied Gas FlowA method to obtain transport coefficients for systems simulated by the direct simulation Monte Carlo method is proposed using the fluctuation-dissipation theorem. Its application is demonstrated by determining the viscosity coefficient. To this end, the correlation function was calculated numerically in the equilibrium system modelled by the direct simulation Monte Carlo method. The viscosity coefficient was obtained by matching, in the collisional regime, the numerical correlation function with the theoretical one the viscosity coefficient being a free parameter. The viscosity so determined agrees well with the one given by the Chapman-Enskog method. The present method can also be used to obtain the other transport coefficients in much complex gases such as the one with multispecies. |
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Angle of Attack Application ASTRONAUTICAL SCIENCE REPORT Chapman-Enskog method CHICAGO LIBRARY Coefficients in Direct collision intervals collision process collisional model collisional regime complex gases coordinate correlation function v(x Direct Simulation Monte distribution function DSMC method Dynamic equation equilibrium examine directly F-D theorem February finite cell fluctuation-dissipation fluctuations free molecular model High Angle High Speed hydro-dynamic limit Institute of Space July kinematic viscosity mean free path Method for Rarefied method gives Monte Carlo Method number density numerical correlation function numerical result Numerical Simulation obtained parameter particles peak at x=0 perpendicular velocity vy(x prediction process is turned rarefied flow Rarefied Gas Flow represents Simulation Monte Carlo SIMULATion Results Space and Astronautical spatial Speed and High summation system simulated t'+t Takashi ABE temporal behavior temporal development theoretical Tokyo transport coefficients transport phenomena Two-Dimensional UNIVERSITY OF CHICAGO variety of problems viscosity coefficient Winged Space Vehicle Yasuhiro Yoshifumi INATANI