Woodward & ColellaIn this section we present the numerical results of AeroFoam
solver for a 2D aerodynamic test problem, such as the
inviscid compressible unsteady flow on the Woodward & Colella step.
Problem definition Domain:
 Rectangular channel of length L = 3 m and height h = 1 m
 Rectangular step of height hS = 0.2 m at xS = 0.6 m
 Material:
 Polytropic Ideal Gas (PIG)
 Specific heat ratio gamma = 1.4
 Gas thermodynamic constant R = 0.714 J/kgK
 Initial conditions:
 Thermodynamic pressure Poo = 1 Pa
 Temperature Too = 1 K
 Mach number Moo = 3
 Boundary conditions:
 SupersonicInlet boundary conditions on the inlet section
 ExtrapolatedOutlet boundary conditions on the outlet section
 Slip boundary conditions on the top and bottom walls
Figure: Problem definition.
Space and time discretization Space discretization:
 Mesh created with Gmsh
 # of rectangular cells Nv = 5040
 # of nodes Nn = 10422
 Time discretization:
 Total simulation time endTime = 4 s
 Timestep deltaT = 1.25e3
 Maximum Courant number maxCo = 1.00
Figure: Computational grid. Numerical results Comparison with CentralFoam solver and Woodward & Colella paper numerical results
 Single iteration CPUtime = 0.04 s on AMD64 3500+ desktop PC with AMD Athlon 64 2.2 GHz CPU, 1 Gbyte RAM, 512 Kbyte L2 cache
Figure: Mach numer M distribution at t = 4. Figure: Mach numer M distribution as a function of time t = 0  4 s Download Woodward&Colella.tar.gz test problem folder. Uncompress this archive in the OpenFOAM work folder and execute AeroFoam . Woodward&Colella from terminal to start the simulation. Download.
