But How DO Fluid Simulations Work?

Fluid simulations. How on is it possible that a computer can recreate the crashing waves, the rolling clouds and the swirling smoke that we see in our daily lives, phenomena which seem characterized by randomness and chaos? This video will attempt to explain exactly how the mathematics behind fluid simulations work. Timestamps: 00:00 Intro 00:42 Navier-Stokes Equations 02:38 Representation 04:52 Diffusion 07:53 Gauss-Seidel Method 09:36 Advection 11:31 Clearing Divergence 14:33 Outro Paper referenced: Jos Stam - Real Time Fluid Dynamics for Games (2003) https://www.autodesk.com/research/publications/real-time-fluid-dynamics Music: Soft Piano Music by Relax Music Meditation https://www.youtube.com/watch?v=DRnyxlaqqLk&ab_channel=RelaxMusicMeditation