I'm teaching myself CFD in my free time. I'm focusing on hyperbolic solvers because they seem particularly of interest in the field of numerical relativity, which I am aiming to apply these lessons towards.

Here's what I've got so far:

1D CFD Simulation in WebGL - GitHub

• Supports Euler, Runge-Kutta-2, Runge-Kutta-4, and Iterative Crank-Nicolson-3 explicit integration.
• Supports a number of flux limiters.
• Supports mirror, periodic, and free-flow boundary conditions.
• Compressible Euler fluid equation simulation with the following:
  
  Initial Conditions:
  • Sod shock tube test initial conditions
  • Sedov blast test initial conditions (works under the Burger's solver, breaks under the Roe solver unless the limiter is set to "donor cell")
  • simple wave advection
  • simple bell curve perturbation
  Solvers:
  • Burgers / Explicit Integration
  • Burgers / Implicit Integration of Backward Euler via Gauss-Seidel
  • Roe / Explicit Integration
• ADM formalism (from Alcubierre's Numerical Relativity) is half working, works best with "donor cell" limiter, but barely pulls along at that.
  
• SRHD with Roe Solver and Sod shock tube initial conditions is in the works.
  

2D CFD Simulation in WebGL - GitHub

• Supports Euler, Runge-Kutta-2, Runga-Kutta-4, and Iterative Crank-Nicolson-3 explicit integration.
• Supports a number of flux limiters.
• Supports mirror, periodic, and free-flow boundary conditions per-side of the grid.
• Supports arbitrary boundaries on the rectangular grid (see "Sod w/Cylinder" initial conditions).
• Supports gravity / external forces.
• Compressible Euler fluid equation simulation with the following:
  Initial Conditions:
  • Sod shock tube test extended to two dimensions
  • Sod shock tube test with a cylinder obstacle
  • simple bell curve perturbation
  • Kelvin-Hemholtz instability demo (left and right boundaries must be set to "periodic" to best observe the phenomenon)
  • Rayleigh-Taylor instability demo (left and right boundaries must be set to "periodic" and external force Y direction must be set to "1" to best observe the phenomenon)
  Solvers:
  • Burgers / Explicit Integration
  • Burgers / Implicit Integration of Backward Euler via Gauss-Seidel
  • Roe / Explicit Integration

2D GPGPU-driven CFD Simulation in WebGL - GitHub

• Supports a number of flux limiters.
• Compressible Euler fluid equation simulation with the following:
  Initial Conditions:
  • Sod shock tube test extended to two dimensions
  • Sod shock tube test with a cylinder obstacle (currently only works with the Burgers solver)
  • simple bell curve perturbation
  • Kelvin-Hemholtz instability demo (currently only works with Burgers solver)
  Solvers:
  • Burgers / Explicit Integration
  • Roe / Explicit Integration

Sources:
Hydrodynamics II: Numerical methods and applications
I do like CFD's Free CFD Codes
"Riemann Solvers and Numerical Methods for Fluid Dynamics," Toro
http://people.nas.nasa.gov/~pulliam/Classes/New_notes/euler_notes.pdf