Nowadays, children are named according to the time of their birth. Even if you pay someone to name you, you still need to ask your child’s birthday and horoscope. If there is any missing element in the five elements, it is usually included in the name.
I think the names Zhang Yuze and Zhang Yuduo sound pretty good. If you are short of water, use Ze, and if you want more gold, use Duo. It’s up to the parents to decide specifically. After all, it’s their baby’s name and it will last a lifetime!