Google "Flash projector" or "Flash debug downloads", first result should be "Adobe Flash Player - Debug Downloads" open that and scroll down to the Linux section and look for
"Download the Flash Player Projector (64-bit)", download it, it comes as a archive so you have to unpack it and you'll get executable binary.Open it, go to file > Open, and select SWF file.
Or run it via terminal with "./<flashplayer_executable_file> <swf file>" where "flashplayer_executable_file" is the name of your executable binary and "swf file" is your well.. swf file.
EDIT:
You need 64 bit system and the issue I have is keyboard does not work in fullscreen (unless you modify the client and recompile it) but you can maximize the window.