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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 They are no longer updated.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 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 two-dimensional rectangular domain three units wide and one unit high. Between x=0.6 and x=3 along the x-axis 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 right-hand x boundary we use an outflow (zero gradient) boundary condition, while on the left-hand 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 x-axis. 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 right-hand boundary.

Hydrodynamics. Gamma-law equation of state.

2D Cartesian.

p_ambient = 1; rho_ambient = 1.4; wind_vel = 3; gamma = 1.4


Grid Date Machine Num PE Plots Log
480x160 Cart 6/9/01 thera 1 density (t=0.5) density+velocity (t=0.5) pressure (t=0.5)
density (t=1.5) density+velocity (t=1.5) pressure (t=1.5)
density (t=2.5) Kelvin-Helmholtz detail (t=2.5) density+velocity (t=2.5) pressure (t=2.5)
density (t=3.6) Kelvin-Helmholtz detail (t=3.6) density+velocity (t=3.6) pressure (t=3.6)
time series

Emery, A. F. 1968, J. Comp. Phys., 2, 306
Woodward, P. and Colella, P. 1984, J. Comp. Phys., 54, 115
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