Yes, the cooler will fit in, because the case can support up to 175mm cooler and the nh-d15 is 165mm tall. But you need to check the nh-d15 compatibility lists for the motherboard because some of them either the cooler will block the first PCI-E x16 slot or even you can't use it because there is part under the MB you can't install the backplate, like FM2A75M-ITX.
Here is the list. http://www.noctua.at/main.php?show=compatibility_gen&products_id=68&lng=en