UserDir linking before your DNS has propagated for your domain is not supported on a nginx webserver, your sites are directly served by nginx meaning apache mod_userdir isn't available for creating or viewing your domain, using http://188.8.131.52/~username/index.php to view your site for example would show an internal server error because Nginx doesn't know how to handle the request.
The recommended method to access a website without DNS resolving to the server is by editing the 'hosts' file on the users workstation, i.e. your PC.
http://www.howtogeek.com/howto/27350/beginner-geek-how-to-edit-your-hosts-file/ - gives a great head start on how to do it on most operating systems .
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