Coding Adventure: Developing a Grid-Based Smoke Simulation

My attempt at coding a grid-based fluid simulation to try and achieve some smoky effects! Support my work (and get early access to new videos and source code) on Patreon or Nebula * Patreon: https://www.patreon.com/SebastianLague * Nebula: https://go.nebula.tv/sebastianlague Source Code: Currently in early access (see links above), but will be available to everyone on 11 November. Resources and References: Fluid notes: https://www.cs.ubc.ca/~rbridson/fluidsimulation/fluids_notes.pdf Ten-minute physics: https://www.youtube.com/watch?v=iKAVRgIrUOU My other fluid videos: https://youtube.com/playlist?list=PLFt_AvWsXl0dJrPelwdVSMVC_MDTYPJWn&si=Z5cOCDSI1aS4fe_C Sound wave simulation: https://www.youtube.com/watch?v=iA6wRgwl7k0 Music: https://raw.githubusercontent.com/SebLague/Misc-Project-Info/refs/heads/main/Coding-Adventures/Smoke Chapters 00:00 Intro 00:50 Navier-Stokes Equations 02:00 Divergence 05:09 Solving for Pressure 08:26 Gauss-Seidel Iteration 10:36 Solid Cells 12:26 Velocity Interpolation 15:15 Advection (with derivatives) 18:37 Semi-Lagrangian Advection 22:12 Testing 23:43 Successive Over-Relaxation 25:16 Visualizing Speed 26:32 Smoke Map 28:14 Parallel Pressure Solving 31:13 Vortex Shedding 35:48 A Few Little Experiments 37:55 Temperature 39:17 Final Smoke Experiments 40:38 Outro