There are some old versions of ShiftIt available in the GitHub downloads, but you might want to compile a more recent version yourself. It's what I use on my 11" MacBook Air, where I mostly use the left-half, right-half, full-screen, and center-window commands. If your use case would be similar, DoublePane might be an easier choice, though it doesn't look like it does centering.
I just stumbled into it, I recommend watching the video.