Explore the physics of flowing fluids through 25 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
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