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LES of shock wave / turbulent boundary layer interaction

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Simulation method<br />

exact filtered <strong>shock</strong> solution, where the high-<strong>wave</strong>number part <strong>of</strong> the<br />

spectrum has been removed, is slightly oscillatory owing to the Gibbs<br />

phenomenon.<br />

2.4 Boundary conditions<br />

Boundary data are imposed as follows. At inflow we prescribe all conservative<br />

variables f as function <strong>of</strong> time, using data from a separate<br />

computation. For the compression corner calculation results <strong>of</strong> a flat<br />

plate <strong>boundary</strong> <strong>layer</strong> calculation are used. This calculation in turn supplies<br />

inflow conditions for the decompression corner. The rescaling and<br />

recycling method <strong>of</strong> Stolz & Adams (2003) is employed for the flat plate<br />

simulation, see section 3 for a discussion. Periodic <strong>boundary</strong> conditions<br />

were applied in the spanwise direction. At the outflow a sponge-<strong>layer</strong><br />

technique is used (Adams, 1998). At the upper truncation plane <strong>of</strong> the<br />

computational domain non-reflecting conditions are imposed. The wall<br />

is assumed to be isothermal and no-slip conditions are enforced on the<br />

velocity. The wall-temperature distribution is uniform in spanwise direction,<br />

along the streamwise direction it is taken from the experiment<br />

<strong>of</strong> Zheltovodov et al. (1987), where the wall is supposed to be adiabatic.<br />

Since in this experiment the non-dimensional wall temperature on the<br />

flat plate has a small difference compared to that <strong>of</strong> the considered case,<br />

it was rescaled linearly. Then the data was smoothed and interpolated<br />

onto the computational grid as shown in figure 2.3. Isothermal conditions<br />

are preferable over adiabatic conditions since for the experiment an<br />

almost constant temperature distribution in time was observed during<br />

the measurements.

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