Abstract: Abstract: Physics-based fluid simulation can capture the movement of water. A common real-time simulation method is based on two-dimensional shallow water equation. Firstly, we introduce the two-dimensional shallow water equation, and then propose a new solution method, which is calculated by an implicit semi-Lagrangian method with volume conservation. This method allows a large time step while maintaining stability. Finally, we add additional correction steps to ensure volume conservation in the calculation process. In addition, a fluid solid coupling method based on momentum conservation is proposed, which works well. The model can simulate water more realistically in real time and ensure that the water volume is always conserved.

Key words: Keywords: shallow water equation, semi-Lagrangian, volume conservation, large time step, fluid solid coupling