A screen image copy from the integrated DS2V graphics of the flow speed contours
in a two-dimensional underexpanded jet of hard sphere molecules. The height of the
slit is about a thousand mean free paths and the pressure ratio is ten. The complex
external flow is because the velocity of the downstream gas is set to 100 m/s in
an attempt to minimize the boundary interference.
(It is past time for somebody to take a serious look at adaptive boundary conditions
that automatically match the incoming molecules to the outgoing molecule. Is it
possible to do this in a reliable manner such that there is no danger of instabilities
at the boundaries?)
The calculation employed three million molecules (2.5 million in the steady state)
and was made in a three day run on a laptop computer with a 1.6-2.6 Mhz Intel i7
CPU. The program reported that the number of molecules was too small and heat transfer
coefficients would be in error by about 10%. At the same time, the flow contours
can be expected to be accurate. A good calculation would have required 30 million
molecules, but the laptop would still be adequate!
The boundary conditions are simple and it should be possible to repeat the calculation
with any two-dimensional DSMC program. It can serve as a reality check for alternative
DSMC programs. The cylinder test case in notes prepared for the DSMC07 meeting in
Santa Fe is also recommended.