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Navier-Stokes fluid simulation explained with Godot game engine

2 days ago
  • #game development
  • #Godot engine
  • #fluid simulation
  • A comprehensive guide explaining how to implement a fluid simulation using the Navier-Stokes equations within the Godot game engine, aimed at game developers.
  • The simulation is built on a grid system with arrays for density and velocity (horizontal and vertical), using CPU-based calculations for clarity rather than performance optimization.
  • Key algorithms include density and velocity advection (moving values along the velocity field using backward tracking and bilinear interpolation), diffusion (spreading values using Gauss-Seidel relaxation), and boundary handling to simulate walls.
  • Velocity projection is implemented to ensure fluid incompressibility by calculating divergence and pressure fields, removing artifacts from diffusion and advection.
  • The tutorial provides interactive elements like mouse input to inject density and velocity, visualizations with grid colors and arrows, and step-by-step code integration in Godot.
  • Future possibilities are mentioned, such as porting the simulation to GPU via compute shaders for better performance and applying the technique to game effects like rocket exhaust or fire.