A Spectral Element Reduced Basis Method for Navier-Stokes Equations with Geometric Variations
Abstract
We consider the Navier-Stokes equations in a channel with a narrowing of varying height. The model is discretized with high-order spectral element ansatz functions, resulting in 6372 degrees of freedom. The steady-state snapshot solutions define a reduced order space through a standard POD procedure. The reduced order space allows to accurately and efficiently evaluate the steady-state solutions for different geometries. In particular, we detail different aspects of implementing the reduced order model in combination with a spectral element discretization. It is shown that an expansion in element-wise local degrees of freedom can be combined with a reduced order modelling approach to enhance computational times in parametric many-query scenarios.
Cite
@article{arxiv.1812.11051,
title = {A Spectral Element Reduced Basis Method for Navier-Stokes Equations with Geometric Variations},
author = {Martin W. Hess and Annalisa Quaini and Gianluigi Rozza},
journal= {arXiv preprint arXiv:1812.11051},
year = {2019}
}
Comments
ICOSAHOM 2018 conference proceeding, after review