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A Spectral Element Reduced Basis Method in Parametric CFD

TitleA Spectral Element Reduced Basis Method in Parametric CFD
Publication TypeBook Chapter
Year of Publication2019
AuthorsHess, M, Rozza, G
EditorRadu, FAdrian, Kumar, K, Berre, I, Nordbotten, JMartin, Pop, ISorin
Book TitleNumerical Mathematics and Advanced Applications - ENUMATH 2017
Volume126
ChapterA Spectral Element Reduced Basis Method in Parametric CFD
PublisherSpringer International Publishing
Abstract

We consider the Navier-Stokes equations in a channel with varying Reynolds numbers. The model is discretized with high-order spectral element ansatz functions, resulting in 14 259 degrees of freedom. The steady-state snapshot solu- tions define a reduced order space, which allows to accurately evaluate the steady- state solutions for varying Reynolds number with a reduced order model within a fixed-point iteration. In particular, we compare different aspects of implementing the reduced order model with respect to the use of a spectral element discretization. It is shown, how a multilevel static condensation in the pressure and velocity boundary degrees of freedom can be combined with a reduced order modelling approach to enhance computational times in parametric many-query scenarios.

URLhttps://arxiv.org/abs/1712.06432
DOI10.1007/978-3-319-96415-7_64 pages = 693โ€“701

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