The earth itself is squashed like that with two bulges, but the water on the surface exhibits a more complex motion.
This explanation is so much better.
If people want to use big words they can say fluid dynamics, but yeah, it's a complex system with a big orbiting body pulling on it regularly, that gives the complex system rhythm but not order.
Computers are a terrible analogy for this type of minimal explanation of natural phenomena because computers are layers of designed complexity built by exploiting an understanding of multiple distinct natural phenomena... At the composite scale computers are a very unatural human construct, not something emergent that can be accurately expressed informally.