Hi,
You can achieve this by many ways giving one simple option
1. From Your .NET code or any code run Backup command for your current DB 2013 then SQL command will take backup of the database.
2. Once the backup is done run Restore command with new name DB2014.
Other than this you can use SMO object and play with the database
http://technet.microsoft.com/en-us/library/ms162149.aspx[
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I hope both the solution may help you.