# FluidSimulation
WebGL shader for mixed grid-particle fluid simulation
Live demo at amanda.pages.cba.mit.edu/FluidSimulation/
This simulation solves the Navier-Stokes equations for incompressible fluids in a GPU fragment shader.
I implemented no-slip boundary conditions at the borders to keep the fluid contained within the bounds of the screen.
To increase performance, I solved for the velocity vector field of the fluid at a lower resolution than I used to compute the visualization of fluid flow; I used bilinear interpolation to smooth out artifacts caused by this speedup.
I've also added 160,000 Lagrangian particles on top of the simulation -
these particles are rendered using threejs, but their positions are computed on the GPU.

**Instructions:** Click and drag to apply a force to the fluid. Over time, the colored material in the fluid will dissipate.

To learn more about the math involved, see the following sources:

Real-time ink simulation using a grid-particle method - mixing Eulerian and Lagrangian techniques for fluids

Fast Fluid Dynamics Simulation on the GPU - a very well written tutorial about programming the Navier-Stokes equations on a GPU.
Though not WebGL specific, it was still very useful.

Fluid Simulation (with WebGL demo) - this article has some nice, interactive graphics that helped me debug my code.

Stable Fluids - a paper about stable numerical methods for evaluating Navier-Stokes on a discrete grid.

By Amanda Ghassaei.