To both Arne and Ueli I would suggest: don’t forget, the purpose of these basic models is to find comparative data, on just an arbitrary section of a junk sail panel.
It’s a first step towards establishing some basic principles, including that huge mystery, the effect of the mast on a lug sail.
A "partial view". It is not (and it is not meant to be) the same thing as designing a sail – much less, designing a complete boat and hull package.
By the way Arne, are you sure your diagram from Marchaj of the “more realistic sail” depicts an A.R of 3? Not that it matters much in regard to the point you are making, but for the record, it looks a lot more than that to me.
Eric wrote "... it could be possible and not too costly, to use some photogrammetry technology to model a given sail ... the surface could then be "sliced" into 2D profiles to feed the CFD".
David can provide real life profiles for his articulated-batten wing sail, but for a cambered sail on rigid battens we can't do that, of course.
Eric's idea is good, especially if you have the skill and equipment to do it, but if a boat is tied up to a pontoon with an inflated sail, I would suggest a better way to start with, just take one "slice" - simply take a series of measurements along the centre chord of a panel, and get the profile by direct measurement. I think that would be easy enough to do. We only need one "slice" for a 2-D model to start getting good comparative data from the computer model, as Paul has demonstrated.
[Some time ago I made a series of different model sail panels from cloth, inflated them and took measurements along a vertical line between the battens, in order to look at the profile (shape of section) along that vertical line.

It was not difficult to do, (and it also showed that the vertical section curve has a lot less to do with the way the soft cloth sail is constructed than most people would think - but that's another story The same may well be true regarding the horizontal section curve, which Paul requires).
I am kicking myself now that I did not at the same time take measurements along the horizontal line, the central chord, but that was not what I was thinking about at the time. I threw out all the model panels a few months ago. Anyway, a real life sail could be measured up just about as easily, to obtain the profile of a single "slice", (and it would be interesting also to compare the horizontal sections of differently constructed sail panels).
(So much for rigid batten cambered sails. How you would deal with the camber that is supposed to be induced by twisting flat cut fanned sails is in the "too hard basket" for me, but I dare say it could be done somehow - maybe by using Eric's photography idea). ]