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-- Step 1:  Set the DB in Single User Mode.

IF DATABASEPROPERTYEX (N'DBName', N'Version') > 0
BEGIN
ALTER DATABASE [DBName] SET SINGLE_USER
WITH ROLLBACK IMMEDIATE;
END
GO

-- Step 2: Rename the DB
EXEC sp_renamedb 'DBName', 'DBNameNew'

-- Step 3: Set the DB back in Multi User Mode.
IF DATABASEPROPERTYEX (N'DBNameNew', N'Version') > 0
BEGIN
ALTER DATABASE [DBNameNew] SET Multi_USER
WITH ROLLBACK IMMEDIATE;
END
GO