Title | A Spectral Element Reduced Basis Method in Parametric CFD |
Publication Type | Book Chapter |
Year of Publication | 2019 |
Authors | Hess, MW, Rozza, G |
Editor | Radu, FAdrian, Kumar, K, Berre, I, Nordbotten, JMartin, Pop, ISorin |
Book Title | Numerical Mathematics and Advanced Applications - ENUMATH 2017 |
Volume | 126 |
Chapter | A Spectral Element Reduced Basis Method in Parametric CFD |
Publisher | Springer 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. |
URL | https://arxiv.org/abs/1712.06432 |
DOI | 10.1007/978-3-319-96415-7_64 pages = 693โ701 |
A Spectral Element Reduced Basis Method in Parametric CFD
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