Transient Growth due to Surface Roughness: Theory, Simulation and Experiment
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abstract
Boundary layer receptivity to physically realizable, sub-optimal disturbances has attracted research efforts using theoretical, experimental and numerical tools. Progress requires these approaches be used in a complementary fashion and reach mutual agreement. The present work compares results from each on the sub-optimal transient growth due to surface roughness. New experimental error analyses and comparison to direct numerical simulation (DNS) is shown for three-dimensional discrete roughness elements. Biorthogonal decomposition of DNS results to obtain the continuous spectrum distribution is presented and contrasted with optimal and linear receptivity cases. Realizable disturbances are shown to be sub-optimal and to evolve linearly over large portions of the measurement domain. A technique for performing the decomposition into continuous spectrum modes without pressure and wall-normal velocity measurements is demonstrated and is shown to be effective when the measurable disturbances are of sufcient accuracy. Copyright 2009 by the authors.
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47th AIAA Aerospace Sciences Meeting including The New Horizons Forum and Aerospace Exposition
