@article {2019, title = {A spectral element reduced basis method in parametric CFD}, journal = {Lecture Notes in Computational Science and Engineering}, volume = {126}, year = {2019}, pages = {693-701}, 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 solutions 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 (Karniadakis and Sherwin, Spectral/hp element methods for computational fluid dynamics, 2nd edn. Oxford University Press, Oxford, 2005) 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.

}, doi = {10.1007/978-3-319-96415-7_64}, url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85060005503\&doi=10.1007\%2f978-3-319-96415-7_64\&partnerID=40\&md5=d1a900db8ddb92cd818d797ec212a4c6}, author = {Martin W. Hess and Gianluigi Rozza} }