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From world war two and used, usually by British soldiers, to describe the effect seen when the amunition propellant in a destroyed tank starts to ignite. The flames shoot out of any opening, most usually the turret hatches, extremely violently, like a Roman candle. This terrified tankers and as a sort of black humour they referred to it as brewing up.

Other nationalities sometimes referred to it as cooking off .. the ammunition was cooking off.
The tank was hit with an AP round and within seconds began to brew up.
To make a pot of tea. Usually used in the context of plural .. a pot of tea of several cups, rather than single cup, when you would instead say, "making a brew"
I'm just going to brew up. Fancy one?

Brew Up Then 

Make me a cup of tea

N.B

Not to be confused with

2. "Got one BREWING up"
A warning that your mate is Gonna Fart in a minute!
1. Brew up then will you I'm spitting feathers here!

2. If I were you I would go in other room..

Got one BREWING up and it's gonna be rancid mate
Brew Up Then by SKULLION 💀 April 17, 2022

brew it up 

1) Brew - Substitute for any verb
2) It - Substitute for any noun
3) Up - substitute for any verb
"I am going to brew it up!"
brew it up by Peter Nelson February 7, 2004

catching up to brew 

the act of catching up with someone you haven't seen in a while, reminiscing, etc. whilst enjoying a tall frosty one.

also, the act of catching up to someone who has had more drinks than you; either because you got there late or because you've been nursing.
man i haven't seen you in years. let's grab a beer, we got some catching up to brew.

damn you've got serious beerability, i got some catching up to brew.