galaxy s6 edge won't turn on and recognized on computer

@kaye "water damage" is most likely the bigger issue on here. The phone would have to be properly cleaned first. If you do not clean it, you cannot diagnose it.

Start by disassembling your phone. even so there is know guide as of yet, this teardown should help you getting into the phone. Remove the circuit board and clean all the parts with 90%+ isopropyl alcohol and a small brush. Use this guide to show you how to clean. It was written for an iPhone, but all the points are pertinent to your phone as well. You will also have to remove all EMI shields from the board to properly clean it. Once it is all cleaned, reassemble it with a new battery. This is not optional but a must. After that, re-evaluate for further trouble shooting. Water damage is the hardest to diagnose and to repair since virtually any part may have failed.

To "recover any of my photos or files." your phone has to be recognized. There is no other way. You will get a few answers suggesting recovery software, which will not work since your phone does not get recognized.