I have been trying in vain to connect to my SQL Server database, attached to the LocalDB instance (localdb)\\v11.0, using HeidiSql and Windows Authentication.
It can work, but is tricky. You need to use the LocalDB named pipe as the Heidi hostname. Using LocalDB V12 for example:
sqllocaldb info
sqllocaldb start MSSQLLocalDB
sqllocaldb info MSSQLLocalDB
The "info" parameter reveals:
\\.\pipe\LOCALDB#12345678\tsql\query
Note the number is a random hash, which complicates things, as you need to keep checking it. It's possible to batch/script the above, with Heidi's command line options.
My command line:
heidisql -d=LocalDB -h=%pipename% -n=3 -d=LocalDB
The -d parameter is used twice intentionally.