Is the word trovoada the same in Brazilian and European Portuguese?

Yes

The word "trovoada" is identical in meaning, spelling, and grammar in both Brazilian and European Portuguese. The only difference is pronunciation. Brazilian Portuguese typically features more open vowels and a more melodic, syllable-timed rhythm. In Continental Portuguese, vowels are often more closed or reduced, and the rhythm is more stress-timed, which gives the word a more "clipped" or "staccato" sound.

Brazilian Portuguese Examples:

1. A trovoada assustou o cachorro. (The thunderstorm scared the dog.)
2. Ouvi uma trovoada muito forte de madrugada. (I heard a very loud thunderstorm in the middle of the night.)
3. Com essa trovoada, vai cair uma chuva enorme. (With this thunderstorm, a huge rain is going to fall.)
4. A trovoada começou do nada. (The thunderstorm started out of nowhere.)
5. Fiquei com muito medo da trovoada. (I was very afraid of the thunderstorm.)

European Portuguese Examples:

1. A trovoada assustou o cão. (The thunderstorm scared the dog.)
2. Ouvi uma trovoada muito forte durante a madrugada. (I heard a very loud thunderstorm during the night.)
3. Com esta trovoada, vai cair uma chuva torrencial. (With this thunderstorm, a torrential rain is going to fall.)
4. A trovoada começou de repente. (The thunderstorm started suddenly.)
5. Fiquei com muito receio da trovoada. (I was very fearful of the thunderstorm.)