Girlfriend blew up at me in a public park and disappeared, what do I do

My GF (32F) has been in a shit mood for over a week, I've (38F) been giving her space and been patient with her for the week but yesterday and the day before she was being so shot and cranky with the kids and its just been over the top.

We went to the fireworks lastnight and she was yelling at one of the kids to get out of her way and I snapped and said "im losing my patience with you, stop yelling at the kids, you've been an asshole to them all day"

I pulled her to the side and asked her what the hells going on, shes been so mean for days and she got in my face and screamed "I dont effing want to talk to you about it" I said you dont have to talk about it but the way you're treating the kids is unacceptable, you

Don't have to talk but you've gotta listen and stop acting this way" she screamed "eff you" in my face and gave me the finger very close to my face and stormed off.

I asked her to come back because she was leaving me with all 3 kids on my own in a very busy park and told her if she was leaving we were all leaving. She came back charging at me with her hand in the air and got right in my face pointing her finger within inches of my face and screamed "leave me the eff alone" and stormed off again.. a couple different people (strangers) stopped to ask me if I was okay. I told them I was and yelled to my gf that people are asking if im okay because of her behavior she came back and told her "all im doing is trying to understand and be there for her" and she said she dosnt want me to be there, she sick of my analyzing and trying to be there for her all the time. I said "if you dont want me to be there for you then why are you here?"

I said "you need to figure out what you want and really think about everything you said but you do own me a very large apology." And I walked back to the kids.

When i turned around she was gone. She wouldn't answer texts or calls, I drove us there so I dont know where she went

When we got home after the fireworks her truck was gone and she hasn't answered me or our oldest daughter's texts. It's the next morning and it shows shes seen the messages but won't answer.

I dont know what to do. Is it acceptable for your s.o to just dissappear like that? Do i give her more space or start calling places to see if shes okay? One of our kids birthday dinners is today at her parents place, I dont know if shes coming back before we go or meeting us there.. I dont know what to expect if we are meeting there, I know she needs more time and space to process but I also need to be seen and herd and not blown up at like this. How much time do I give her. What is acceptable?

I just dont know what to do.