

Old research pages
I'm keeping these old research pages here for the benefit of anyone
who might arrive here from an external page. They are no longer
updated. Please visit my new web site at
http://sipapu.astro.illinois.edu/~ricker/.
Eventually some content from these pages will migrate to the new site.
Emery wind tunnel problem
The problem of a wind tunnel containing a step was first described by Emery (1968), who
used it to compare several hydrodynamical methods which are only of historical interest
now. Woodward and Colella (1984) later used it to compare several more advanced methods,
including PPM.
The problem uses a twodimensional rectangular domain three units wide and one unit high.
Between x=0.6 and x=3 along the xaxis is a step 0.2 units high. The step is treated as a
reflecting boundary, as are the lower and upper boundaries in the y direction. For the
righthand x boundary we use an outflow (zero gradient) boundary condition, while on the
lefthand side we use an inflow boundary. In the inflow boundary zones we set the density
to 1.4, the pressure to 1, and the velocity to 3, with the latter directed parallel to the
xaxis. With a gamma of 1.4 this corresponds to a Mach 3 flow. The domain itself is also
initialized with these values. Because the outflow is supersonic throughout the calculation,
we do not expect reflections from the righthand boundary.
Physics
Hydrodynamics. Gammalaw equation of state.
Geometries
2D Cartesian.
Parameters
p_ambient = 1; rho_ambient = 1.4; wind_vel = 3; gamma = 1.4
Results
References
Emery, A. F. 1968, J. Comp. Phys., 2, 306
Woodward, P. and Colella, P. 1984, J. Comp. Phys., 54, 115


