You will need a Google account.
Create/log in into your Google account, type “google webmaster tools” into your search engine and visit the
Google WMT service.
Add your website and verify it.
There is an option there at “Crawling” saying “Fetch as Google”.
At the url, just leave it blank so the url would be your website’s address, without any links.
The Google bot will visit your website and will index it right away.
No need to submit your website from the classic form page, that will take much longer to index.