In that case then I would rather use the density of lighter phase as operating density and to initialize the pressure field with the correct pressure taking into account the hydro-static head (which is reduced by reference density time height time acceleration). Accordingly you have to set correct pressure definitions for your pressurized b.c's.
In case you work with degassing you still have an outlet and this would prescribe the pressure level. If you do not have any pressurized boundaries you can prescribe the pressure level information under Solver Control.
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