copying the structure of a DB

I want to copy the structure of the database on my test server to a fresh database (with a different name).

How can I export everything in my test database (except for actual data) and insert it into a fresh database?

Basically I want to prevent having to re-input field that have MANY rows in them.

If it's a base install just run the SQL from the original install/ file

You can work in phpMyAdmin also. Just export/import as zip achive as example.