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Flow Past A NACA0012 Wing With Endplates

The first three-dimensional problem we consider is flow past a NACA 0012 airfoil with plates attached to each end. We impose uniform upwind boundary conditions at inflow and outflow, and the domain is periodic from one end of the airfoil to the other.

This is a simple model of a wing between an engine and fusalage. The domain was meshed with SIMPLEX2D [83] and extruded using 1960 prisms and 2095 hexahedra. A thin boundary layer of hexahedra was used on the surface of the wing and the simulation was run with upto 4th order expansion and Re=2000 (based on chord length). A summary of the simulation parameters is given in 7.6.

 
Table 7.6: Simulation parameters for compressible flow past a NACA0012 airfoil with endplates.
Parameter Value
Dimension 3d
Re 2000 base on chord length
Mach 0.5
$\Delta t$ 1e-4
N-Range 1 to 4
KPrisms 1960
KHex 2095
Method Discontinuous Galerkin

At low-order the simulation ran to steady state. This is due to a reduced effective Reynolds number achieved because of numerical dissipation. As we increased the order we saw unsteadiness developing in the wake of the wing, and what appears to be oblique shedding. This is only a marginally three-dimensional domain but it does demonstrate the ability of to direct resolution into boundary layers and to fill out a domain with larger elements.


 
Figure 7.11: Skeleton mesh for flow past a three-dimensional NACA0012 airfoil with endplates.
\begin{figure}
\centerline{
\psfig {file=/crunch/crunch7/tcew/Thesis/Figures1/Ep...
 ...h7/tcew/Thesis/Figures1/Eps/wingplates.close.grid.eps,width=3.5in}
}\end{figure}


 
Figure 7.12: Iso-contours for x-component of momentum for M=0.5 flow past a three-dimensional NACA0012 airfoil with endplates.
\begin{figure}
\centerline{
\psfig {file=/crunch/crunch7/tcew/Thesis/Figures1/Eps/U.slices.eps,width=5.5in}
}\end{figure}


next up previous contents
Next: Compressible Viscous Magnetohydrodynamics Simulations Up: Compressible Navier-Stokes Simulations Previous: Flow Past a Multi-Body
T. Warburton
10/24/1998