Explore the physics of flowing fluids through 29 interactive demonstrations. Inject dye into a GPU-accelerated fluid solver, build potential flows, and discover why turbulence remains one of the great unsolved problems.
See also: Differential Equations for the Navier-Stokes equations as a PDE system, Fourier Analysis for spectral methods used in turbulence simulation, and Differential Geometry for vector fields and divergence on manifolds.
What is a fluid? Viscosity, the continuum hypothesis, and compressibility
Eulerian vs Lagrangian descriptions, streamlines, pathlines, and streaklines
Term-by-term breakdown of the governing equations of fluid motion
GPU-accelerated real-time fluid simulation — inject dye and watch vortices form
The curl of velocity, Kelvin's circulation theorem, and vortex dynamics
Irrotational flow, superposition of sources and sinks, and the Joukowski airfoil
The no-slip condition, boundary layer growth, separation, and drag forces
Laminar-to-turbulent transition, Kolmogorov theory, and the Millennium Prize Problem
Wind tunnels, weather patterns, blood flow, and aerodynamic design