POD enriched boundary models and their optimal stabilisation. (17th November 2014)

• Record Type: Journal Article
• Authors: Chen, L.; Edeling, W. N.; Hulshoff, S. J.
• Is Part Of: International journal for numerical methods in fluids. Volume 77:Number 2(2015)
• Page Start: 92
• Page End: 107
• Publication Date: 2014-11-17
• Subjects: Fluid dynamics -- Mathematics -- Periodicals; 532
• DOI: 10.1002/fld.3977
• Languages: English
• ISSNs: 0271-2091

Abstract

<abstract abstract-type="main" id="fld3977-abs-0001"> <title>SUMMARY</title> <p id="fld3977-para-0001">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 <italic>τ</italic> 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 &amp; Sons, Ltd.</p> </abstract>