I am not a smoker, but provide airport smoking guides in an effort to help smokers and reduce second-hand smoke. My views on smoking at airports remain unchanged. Copenhagen Kastrup International Airport (DOH) offers convenient airside smoking lounges post-security, including both indoor and outdoor facilities.
Smoking At Copenhagen Airport (CPH)
The airport website does not make clear where smoking areas are located. I came across two smoking areas during my transit, one indoor cubicle (that I have passed for decades) and one more recently-created outdoor one.
The indoor area was a cubicle on an upstairs landing outside of passport control between terminals 2 and 3. Climb the stairs and turn right. You will find the smoking area down the hall on your right.
I suspect these small cubicles are horrible for inhaling secondhand smoke, but seem clean and efficient and provide a way for smokers to have a few puffs without having to go outside (and winters can be very harsh).
The second smoking area I came across was in the A Gate area of Terminal 2 (Schengen area). Clearly-marked signs will direct you to this outdoor smoking area. It is covered in case of inclement weather.
I did not walk outside to take pictures because it was quite crowded and I wanted to respect the privacy of those smokers who were out there.
Copenhagen Airport is one of the more smoker-friendly airports in Scandinavia. Just keep an eye out for signs directing you to smoking areas and note that there are both indoor and outdoor facilities available.