Interdisciplinary Applied Mathematics

Скачать в pdf «Interdisciplinary Applied Mathematics»


Surface


Pressure


ж-velocity


y-velocity


temperature


A


1.3 atm



0


300 К


В


1.0 atm



0


300 К


С, E


dP/dy = 0


0


dvy/ду = 0


dt/dy = 0


D, F


dP/dy = 0


0


dvy/ду = 0


dt/dy = 0


Si, So



vx= DSMC est.


vy = DSMC est.


t = DSMC est.


Di, Do


p = NS sol


vx= NS sol.


vy= NS sol.


vy= NS sol.


G, H



diffusive


diffusive


300 к

Distribution function used for DSMC boundary cells: Previous work on DSMC coupling is not conclusive about the distribution function used for injection into the DSMC domain. It was first suggested that Chapman-Enskog distribution be used whenever DSMC is being coupled to Navier-Stokes equations (Hash and Hassan, 1996). However, it was later suggested that Chapman-Enskog distribution may not be necessary in all cases (Hash and Hassan, 1997). In (Garcia et al., 1999), a dimensionless parameter B is used to analyze the validity range of the Chapman-Enskog distribution. For the examples discussed here, the dimensionless parameter B is 0.04, which is smaller than the maximum value for the range of validity of the Chapman-Enskog distribution, which indicates that the Chapman-


Enskog distribution can be utilized. For the example presented here, the Chapman-Enskog distribution was used for the particles generated in the buffer cells. Chapman-Enskog distribution was selected because Kn at the interface was in the slip flow regime, indicating the presence of nonequilibrium. The parameters that are needed for the Chapmann-Enskog distribution were taken from the Navier-Stokes simulation of the continuum subdomain and interpolated back to the DSMC subdomain.

Скачать в pdf «Interdisciplinary Applied Mathematics»

Метки