Uptrim Disable,
Not aware of any specific published section used on airbus aircraft.
Are the wings supercritical? Yes
Does anyone have info on the design, such as L/D ratio, CP location / movement, critical AoA etc...
Yes Airbus does, the data is worth millions.
Airbus does all this initial design on a computer used computational fluid dynamics, then wind tunnel tests the computer model. On the A340 it cost over 600 million to do this.
A lot of the Boeing stuff is available, if you have a look at
The Incomplete Guide to Airfoil Usage it lists the sections for some Boeing models.
The Boeing airfoil coordinates are available at
UIUC Airfoil Coordinates Database
A number of programs and links to other sites that can plot and predict airfoil performance can be found at
UIUC Airfoil Data Site
Regards
Z