I won't debate theological schools. The Bible teaches God has all knowledge - knows all things before they happen. He also knows all possibilities, because Romans 8:28 says He is working out all things for good (therefore He must know the outcomes to avoid or work against).

When Jesus was on earth, He veiled His glory and His power to a certain extent. This is found in Philippians 2 and some other places. He also placed Himself in a position of authority under the Father (whereas in eternity, they were co-equal). Placing Himself under human limitations (to the extent that He did) allowed Him to be hungry and thirsty, tired, feel pain, etc.