FreeCASE - Free(dom) Computational AeroServoElasticity |
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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 = 1.25e-3
- 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 sDownload- 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.
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