The best replacement for yelling is shouting.

The best alternatives to yelling are rated as following:
★★★★★  shouting
★★★  screaming
★★  hitting
★  verbal abuse
★  raised voice
★  raising voice

Your alternative for yelling is not listed? Suggest!
Speaking about yelling, one probably shouldn't forget about raising your voice.

Other search terms related to yelling and their ratings are:
★★★★★ raising your voice
★★★ losing voice
You have in mind a companion for yelling and it is not yet here? Propose!



Google Trends

Scale is based on the average worldwide traffic of yelling in all years. Click on graph for more.
yelling
shouting
screaming