After you file

Generally within 21 days, however delays have been common this year.

The general timeline of e-filed returns is: Transmission > Acceptance > Processing > Approval > Refund. 

The IRS started processing returns later than in prior years and as such has a backlog to work through. They also just recently started processing returns claiming EIC and/or ACTC.

During processing, the government reviews your refund. During the review process, they look for math errors on your return (extremely rare in TurboTax) and they also check if you owe back taxes, unpaid child support, or other debts.

If they need to make any corrections, they may offset (reduce) your refund. In some cases, the correction might even increase your refund.

Once that part's done, the government approves your refund, which means it's ready to be deposited or sent.  At that point the IRS site will update with a direct deposit date.

It can take up to 21 calendar days after acceptance for the IRS to issue your refund, although most refunds go more quickly than that, while a small handful may take a bit longer.