The main purpose of a garage door is to protect everything inside the garage from any hazard including heavy rainstorms. If your garage door is damaged by water it might stop working properly and allow water to leak in which can lead to mold on the garage walls and even affect the walls inside your home.
When it pours too much rain like in a hurricane storms, it can really mess up your garage door, especially wooden garage doors, when absorb massive water amounts they warp or swell just like wooden furniture can change shape if they get soaked.
In order to avoid this it’s important to know what steps to take to protect your garage from heavy rain and prevent water damages

Main Garage Door Water Damage
Warping
If it has been raining a lot and your garage door has soaked up huge amounts of water it might get bent out of shape and probably not work right. It could get stuck, not open or not close properly because it’s changed size from getting wet.
Absorbing
If you own a wooden garage door over time it absorbs a lot of water and will become super heavy. This extra weight puts extra strain on your garage door opener and an on the springs as well, it will make the door almost impossible to lift.
Rust
Water can cause all metal parts in a garage garage door system rust, which can warp the door panels and damage the opener. If just one panel of the door gets messed up the entire door will stop working. The bottom panel is at risk because it touches the wet ground..

You definitely can not control the weather but you can take a few preventative measures in order to protect your garage door from heavy rainstorms, for example:
Install New Weather Stripping
Weather stripping is the robber seal that stops rain from getting into your garage and when installed correctly it does most of the work and stops rain from coming in.
Garage Door Regular Checks
Check if your garage door closes all the way down and that the weather stripping touches the ground, clean the safety sensors and remove any obstacles in the way. Check the doors panels for any damage or holes, especially at the bottom panel and look for any cracks or bends that could lead to water leaking.