In explosion problems, I have found that air flows into a part even when the explosive wave hasn't arrived there.

That's because you specified an incorrect value of reference energy for air. Incorrect specific energy will cause incorrect air pressure, which will be greater than or smaller than the normal air pressure. Thus you will see air flowing in or out through the boundaries which have an atmospheric pressure boundary on them. The way to resolve this is by using the following formula to get the correct reference energy. E=P/(?-1)?+P0, where P is air pressure, ? is the ideal gas constant, ? is density and P0 is the pressure shift.

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