Menstrual cup for heavy flow?

Ana

I've been wanting to try the menstrual cup because flow on my period is really heavy (like, REALLY Heavy) and I have to use too many pads (big ones) and I even have to wear doble underwear so it can stay in place. But also because of this I'm afraid a menstrual cup could not stand a very heavy flow.

Girls who use the cup and/or have heavy flows, how does it work for you?