Proper grid resolutions for the proper basis. Tinney, C. E. Volume 47th AIAA Aerospace Sciences Meeting and Exhibit, AIAA Paper 2009-0068. Orlando, Florida USA, 2009. doi abstract bibtex An investigation into the sensitivity of the convergence of the POD eigenvalues to the discretization of the measurement grid is discussed using a number of different experimental data sets. The purpose is to determine the necessary conditions, base on an a prior understanding of the statistical properties of the turbulence field, for sufficiently obtaining a reduced order representation of the flow. The analysis is important for two reasons. The first is that when the grid resolution is too coarse, the eigenvalue energies are underestimated. Conversely, for grid resolutions that are too dense, superfluous information is carried. Where the latter is concerned, the performance of physics based control architectures can be rendered less efficient when inappropriately designed by way of low-dimensional analysis tools.
@proceedings {tinney2009proper,
title = {Proper grid resolutions for the proper basis},
publisher = {47th AIAA Aerospace Sciences Meeting and Exhibit, AIAA Paper 2009-0068},
year = {2009},
abstract = {<p>An investigation into the sensitivity of the convergence of the POD eigenvalues to the discretization of the measurement grid is discussed using a number of different experimental data sets. The purpose is to determine the necessary conditions, base on an a prior understanding of the statistical properties of the turbulence field, for sufficiently obtaining a reduced order representation of the flow. The analysis is important for two reasons. The first is that when the grid resolution is too coarse, the eigenvalue energies are underestimated. Conversely, for grid resolutions that are too dense, superfluous information is carried. Where the latter is concerned, the performance of physics based control architectures can be rendered less efficient when inappropriately designed by way of low-dimensional analysis tools.</p>},
address = {Orlando, Florida USA},
author = {Tinney, C. E.},
doi = {10.2514/6.2009-68}
}
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