Fow do I get my database to appear in Server Explorer?

I created a Code-first , Entity-framework 6 console app project.

It is very simple - it just creates a database table. It all works, but the database created doesnt appear under: Server Explorer > Data Connections.

I tried the 'Add Connection' option within Server Explorer, but I couldn't figure out which option to choose. I have included my code, can anyone suggest how I can get the database to appear in Server Explorer (I want to visualise the db tables graphically)? I thought maybe I hadnt installed something or not set something up properly.

I have checked the registry and LocalDB is installed.
I am on Visual Studio 2012. I have also tried it on Visual Studio 2013.

My connectionStirng in app.config:

<connectionStrings>        <add name="DatabaseContext2"        connectionString="Data Source=(LocalDb)\v11.0;        Initial Catalog=DatabaseContext2;        Integrated Security=SSPI;"         providerName="System.Data.SqlClient"/></connectionStrings>

My c# code...

 class Program {        static void Main(string[] args) {            var db = new DatabaseContext2();            db.PeopleTable1.Add(new Person { FirstName = "Joe", LastName = "Bloggs0" });            db.SaveChanges();        }    }    public class DatabaseContext2 : System.Data.Entity.DbContext  {        public DbSet<Person> PeopleTable1 { get; set; }        protected override void OnModelCreating(DbModelBuilder modelBuilder) {            modelBuilder.Conventions.Remove<PluralizingTableNameConvention>();        }    }    public class Person {        public int ID {get; set;}        public String FirstName { get; set; }        public String LastName { get; set; }    }