The first location is in your Documents folder.
Finder > Go > Home > Documents
Delete the WoWs alias folder (or World_of_Warships folder in pre-2.x builds)
Next go to Finder > (while holding down the 'Options' key click) Library > Application Support
Delete the World of Warships folder.
Then go back up a level, into the Preferences folder, and delete com.codeweavers.worldofwarships.plist
Then go back up a level, into Saved Application State, and delete com.codeweavers.worldofwarships.savedState
Finally go to your Applications folder and delete the World of Warships app icon. After that visit http://worldofwarships.com/en/content/game/ to download the latest version of WoWS and run that new copy. It'll regenerate the data folders and redownload the game, getting you a working copy of WoWS.