There are two difficulties you'd encounter adapting those techniques to this simulation: 1. The curved boundary is somewhat annoying to handle when your simula

There are two difficulties you'd encounter adapting those techniques to this simulation: 1. The curved boundary is somewhat annoying to handle when your simulation is done using square grid cells. 2. Empty space introduces some really annoying boundary conditions. You'll notice that those two examples fill the entire region with fluid. It's entirely doable, but the boundary conditions probably triple the implementation effort when compared to a square box entirely full of fluid. As a wise man once said, "90% of the work in fluid simulations is dealing with boundary conditions."