POD enriched boundary models and their optimal stabilisation |
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| Authors: | L. Chen W. N. Edeling S. J. Hulshoff |
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| Affiliation: | Faculty of Aerospace Engineering, Delft University of Technology, Delft, the Netherlands |
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| Abstract: | Modes obtained using the Proper Orthogonal Decomposition are used as boundary enrichment functions within a variational multiscale method for the stochastically forced Burgers equation. Initially, large increases in accuracy are obtained using the enrichment functions without stabilisation terms. Then, optimal coefficients for the stabilisation parameter τ of the unresolved scale model are calibrated using a goal‐oriented model‐constrained optimisation technique, resulting in further improvements. As both the determination of the enrichment functions and the optimisation of the coefficients requires high‐accuracy reference data, a scaling procedure is introduced to allow their use over range of conditions. Numerical experiments confirm that the scaling procedure is effective. Copyright © 2014 John Wiley & Sons, Ltd. |
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| Keywords: | variational multiscale large eddy simulation boundary model enrichment functions goal‐oriented optimisation basis function scaling |
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